products/sources/formale Sprachen/PVS/while/  image not shown  

Quellcode-Bibliothek

© Kompilation durch diese Firma

[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]

Datei: am.prf   Sprache: Lisp

Original von: PVS©
(am
 (check2_TCC1 0
  (check2_TCC1-1 nil 3398743350 ("" (subtype-tcc) nil nil)
   ((boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (PRED type-eq-decl nil defined_types nil)
    (list type-decl nil list_adt nil)
    (every adt-def-decl "boolean" list_adt nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (real nonempty-type-from-decl nil reals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (Stack nonempty-type-eq-decl nil am nil))
   nil))
 (step_TCC1 0
  (step_TCC1-1 nil 3398491018
   ("" (skosimp) (("" (assert) nil nil)) nil) nil nil))
 (step_TCC2 0
  (step_TCC2-1 nil 3398491018
   ("" (skosimp*)
    (("" (assert) (("" (expand "check1") (("" (propax) nil nil)) nil))
      nil))
    nil)
   ((check1 const-decl "bool" am nil)) nil))
 (step_TCC3 0
  (step_TCC3-1 nil 3398491018
   ("" (skosimp*)
    (("" (expand "check2") (("" (flatten) (("" (assert) nil nil)) nil))
      nil))
    nil)
   ((check2 const-decl "bool" am nil)) nil))
 (step_TCC4 0
  (step_TCC4-1 nil 3398491018
   ("" (skosimp*)
    (("" (expand "check2")
      (("" (flatten)
        (("" (assert) (("" (expand "pop") (("" (propax) nil nil)) nil))
          nil))
        nil))
      nil))
    nil)
   ((check2 const-decl "bool" am nil) (pop const-decl "Stack" am nil))
   nil))
 (step_TCC5 0
  (step_TCC5-1 nil 3398491018
   ("" (skosimp*) (("" (expand "check1") (("" (assert) nil nil)) nil))
    nil)
   ((check1 const-decl "bool" am nil)) nil))
 (step_TCC6 0
  (step_TCC6-1 nil 3398491018
   ("" (skosimp*) (("" (expand "check1") (("" (assert) nil nil)) nil))
    nil)
   ((check1 const-decl "bool" am nil)) nil))
 (tr_TCC1 0
  (tr_TCC1-1 nil 3398743350 ("" (subtype-tcc) nil nil)
   ((boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (real nonempty-type-from-decl nil reals nil)
    (>= const-decl "bool" reals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (int nonempty-type-eq-decl nil integers nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (int_minus_int_is_int application-judgement "int" integers nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (/= const-decl "boolean" notequal nil))
   nil))
 (tr_TCC2 0
  (tr_TCC2-1 nil 3398743350 ("" (termination-tcc) nil nil)
   ((step const-decl "Config" am nil)) nil))
 (step_append 0
  (step_append-1 nil 3399091849
   ("" (skosimp*)
    (("" (expand "step")
      (("" (assert)
        (("" (lemma "append_is_null" ("l1" "c1!1" "l2" "c2!1"))
          (("" (assert)
            (("" (case-replace "car(append(c1!1, c2!1))=car(c1!1)")
              (("1"
                (case-replace
                 "cdr(append(c1!1, c2!1))=append(cdr(c1!1),c2!1)")
                (("1" (case "PUSH?(car(c1!1))")
                  (("1" (assert)
                    (("1" (flatten) (("1" (assert) nil nil)) nil)) nil)
                   ("2" (case "FETCH?(car(c1!1))")
                    (("1" (assert)
                      (("1" (flatten) (("1" (assert) nil nil)) nil))
                      nil)
                     ("2" (case "UNARY?(car(c1!1))")
                      (("1" (assert)
                        (("1" (expand "check1")
                          (("1" (lift-if)
                            (("1" (assert)
                              (("1"
                                (case-replace "null?(e!1)")
                                (("1"
                                  (assert)
                                  (("1"
                                    (flatten)
                                    (("1" (assert) nil nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil)
                       ("2" (case "BINARY?(car(c1!1))")
                        (("1" (assert)
                          (("1" (expand "check2")
                            (("1" (case-replace "null?(e!1)")
                              (("1"
                                (case-replace "null?(cdr(e!1))")
                                (("1"
                                  (assert)
                                  (("1"
                                    (flatten)
                                    (("1" (assert) nil nil))
                                    nil))
                                  nil)
                                 ("2" (assert) nil nil))
                                nil))
                              nil))
                            nil))
                          nil)
                         ("2" (case "STORE?(car(c1!1))")
                          (("1" (assert)
                            (("1" (expand "check1")
                              (("1"
                                (case-replace "null?(e!1)")
                                (("1"
                                  (assert)
                                  (("1"
                                    (flatten)
                                    (("1" (assert) nil nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil)
                           ("2" (case "NOOP?(car(c1!1))")
                            (("1" (assert) nil nil)
                             ("2" (case "BRANCH?(car(c1!1))")
                              (("1"
                                (assert)
                                (("1"
                                  (expand "check1")
                                  (("1"
                                    (case-replace "null?(e!1)")
                                    (("1"
                                      (assert)
                                      (("1"
                                        (case-replace "top(e!1) = 1")
                                        (("1"
                                          (assert)
                                          (("1"
                                            (flatten)
                                            (("1"
                                              (assert)
                                              (("1"
                                                (rewrite
                                                 "append_assoc"
                                                 *
                                                 :dir
                                                 rl)
                                                (("1"
                                                  (replace -5 * rl)
                                                  (("1"
                                                    (propax)
                                                    nil
                                                    nil))
                                                  nil))
                                                nil))
                                              nil))
                                            nil))
                                          nil)
                                         ("2"
                                          (assert)
                                          (("2"
                                            (flatten)
                                            (("2"
                                              (rewrite
                                               "append_assoc"
                                               *
                                               :dir
                                               rl)
                                              (("2"
                                                (replace -4 * rl)
                                                (("2"
                                                  (propax)
                                                  nil
                                                  nil))
                                                nil))
                                              nil))
                                            nil))
                                          nil))
                                        nil))
                                      nil))
                                    nil))
                                  nil))
                                nil)
                               ("2"
                                (case "LOOP?(car(c1!1))")
                                (("1"
                                  (assert)
                                  (("1"
                                    (name-replace "CB" "c3(car(c1!1))")
                                    (("1"
                                      (name-replace
                                       "IB"
                                       "BRANCH(append(c4(car(c1!1)),
                                 cons(LOOP(CB, c4(car(c1!1))), null[Instruction])),
                          null[Instruction])")
                                      (("1"
                                        (name-replace
                                         "IBR"
                                         "BRANCH(append(c4(car(c1!1)),
                                 cons(LOOP(CB, c4(car(c1!1))), null[Instruction])),
                          cons(NOOP, null[Instruction]))")
                                        (("1"
                                          (lemma
                                           "append_eq2"
                                           ("l2"
                                            "c1!1"
                                            "l3"
                                            "append(CB, cons(IBR, cdr(c1!1)))"
                                            "l1"
                                            "c2!1"))
                                          (("1"
                                            (replace -1 -5 rl)
                                            (("1"
                                              (replace -5 10)
                                              (("1"
                                                (rewrite
                                                 "append_assoc")
                                                (("1"
                                                  (expand
                                                   "append"
                                                   10
                                                   2)
                                                  (("1"
                                                    (propax)
                                                    nil
                                                    nil))
                                                  nil))
                                                nil))
                                              nil))
                                            nil))
                                          nil))
                                        nil))
                                      nil))
                                    nil))
                                  nil)
                                 ("2" (assert) nil nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil)
                 ("2" (expand "append" 1 1) (("2" (propax) nil nil))
                  nil))
                nil)
               ("2" (expand "append" 1 1) (("2" (propax) nil nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((step const-decl "Config" am nil)
    (Instruction type-decl nil Instruction nil)
    (V formal-nonempty-type-decl nil am nil)
    (Code nonempty-type-eq-decl nil Instruction nil)
    (list type-decl nil list_adt nil)
    (append_is_null formula-decl nil list_props_aux nil)
    (boolean nonempty-type-decl nil booleans nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (cons? adt-recognizer-decl "[list -> boolean]" list_adt nil)
    (car adt-accessor-decl "[(cons?) -> T]" list_adt nil)
    (append def-decl "list[T]" list_props nil)
    (PUSH? adt-recognizer-decl "[Instruction -> boolean]" Instruction
     nil)
    (UNARY? adt-recognizer-decl "[Instruction -> boolean]" Instruction
     nil)
    (check1 const-decl "bool" am nil)
    (Stack nonempty-type-eq-decl nil am nil)
    (null? adt-recognizer-decl "[list -> boolean]" list_adt nil)
    (int nonempty-type-eq-decl nil integers nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (every adt-def-decl "boolean" list_adt nil)
    (PRED type-eq-decl nil defined_types nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (STORE? adt-recognizer-decl "[Instruction -> boolean]" Instruction
     nil)
    (BRANCH? adt-recognizer-decl "[Instruction -> boolean]" Instruction
     nil)
    (c2 adt-accessor-decl "[(BRANCH?) -> list[Instruction]]"
     Instruction nil)
    (append_assoc formula-decl nil list_props nil)
    (c1 adt-accessor-decl "[(BRANCH?) -> list[Instruction]]"
     Instruction nil)
    (top const-decl "int" am nil)
    (null adt-constructor-decl "(null?)" list_adt nil)
    (LOOP adt-constructor-decl
     "[[list[Instruction], list[Instruction]] -> (LOOP?)]" Instruction
     nil)
    (cons adt-constructor-decl "[[T, list] -> (cons?)]" list_adt nil)
    (c4 adt-accessor-decl "[(LOOP?) -> list[Instruction]]" Instruction
     nil)
    (BRANCH adt-constructor-decl
     "[[list[Instruction], list[Instruction]] -> (BRANCH?)]"
     Instruction nil)
    (append_eq2 formula-decl nil list_props_aux nil)
    (NOOP adt-constructor-decl "(NOOP?)" Instruction nil)
    (c3 adt-accessor-decl "[(LOOP?) -> list[Instruction]]" Instruction
     nil)
    (LOOP? adt-recognizer-decl "[Instruction -> boolean]" Instruction
     nil)
    (NOOP? adt-recognizer-decl "[Instruction -> boolean]" Instruction
     nil)
    (check2 const-decl "bool" am nil)
    (BINARY? adt-recognizer-decl "[Instruction -> boolean]" Instruction
     nil)
    (FETCH? adt-recognizer-decl "[Instruction -> boolean]" Instruction
     nil)
    (cdr adt-accessor-decl "[(cons?) -> list]" list_adt nil))
   shostak))
 (tr_add 0
  (tr_add-1 nil 3398743779
   ("" (induct "k1")
    (("1" (skosimp)
      (("1" (split)
        (("1" (flatten)
          (("1" (inst + "cf0!1")
            (("1" (expand "tr" 1 1) (("1" (assert) nil nil)) nil))
            nil))
          nil)
         ("2" (skosimp*)
          (("2" (expand "tr" -1) (("2" (assert) nil nil)) nil)) nil))
        nil))
      nil)
     ("2" (skosimp*)
      (("2" (split)
        (("1" (flatten)
          (("1" (expand "tr" 1 1)
            (("1" (expand "tr" -1)
              (("1" (flatten)
                (("1" (assert)
                  (("1" (inst - "step(cf0!1)" "cf2!1" "k2!1")
                    (("1" (assert) nil nil)) nil))
                  nil))
                nil))
              nil))
            nil))
          nil)
         ("2" (skosimp*)
          (("2" (expand "tr" (-1 1))
            (("2" (flatten)
              (("2" (assert)
                (("2" (inst - "step(cf0!1)" "cf2!1" "k2!1")
                  (("2" (replace -3)
                    (("2" (hide -3)
                      (("2" (inst + "cf1!1") (("2" (assert) nil nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (step const-decl "Config" am nil)
    (nat_induction formula-decl nil naturalnumbers nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (tr def-decl "bool" am nil)
    (IFF const-decl "[bool, bool -> bool]" booleans nil)
    (Config nonempty-type-eq-decl nil am nil)
    (State nonempty-type-eq-decl nil State nil)
    (Stack nonempty-type-eq-decl nil am nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (every adt-def-decl "boolean" list_adt nil)
    (PRED type-eq-decl nil defined_types nil)
    (Code nonempty-type-eq-decl nil Instruction nil)
    (list type-decl nil list_adt nil)
    (Instruction type-decl nil Instruction nil)
    (V formal-nonempty-type-decl nil am nil)
    (pred type-eq-decl nil defined_types nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (int nonempty-type-eq-decl nil integers nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (nnint_plus_nnint_is_nnint application-judgement "nonneg_int"
     integers nil))
   shostak))
 (tr_eq 0
  (tr_eq-1 nil 3398743611
   ("" (induct "k")
    (("1" (skosimp) (("1" (expand "tr") (("1" (assert) nil nil)) nil))
      nil)
     ("2" (skosimp*)
      (("2" (expand "tr" (-2 -3))
        (("2" (flatten)
          (("2" (inst - "step(cf0!1)" "cf1!1" "cf2!1")
            (("2" (assert) nil nil)) nil))
          nil))
        nil))
      nil))
    nil)
   ((step const-decl "Config" am nil)
    (nat_induction formula-decl nil naturalnumbers nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (tr def-decl "bool" am nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (Config nonempty-type-eq-decl nil am nil)
    (State nonempty-type-eq-decl nil State nil)
    (Stack nonempty-type-eq-decl nil am nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (every adt-def-decl "boolean" list_adt nil)
    (PRED type-eq-decl nil defined_types nil)
    (Code nonempty-type-eq-decl nil Instruction nil)
    (list type-decl nil list_adt nil)
    (Instruction type-decl nil Instruction nil)
    (V formal-nonempty-type-decl nil am nil)
    (pred type-eq-decl nil defined_types nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (int nonempty-type-eq-decl nil integers nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil))
   shostak))
 (code_partial 0
  (code_partial-1 nil 3398746849
   ("" (induct "k")
    (("1" (expand "tr") (("1" (skosimp*) (("1" (assert) nil nil)) nil))
      nil)
     ("2" (skosimp*)
      (("2" (expand "tr" -2)
        (("2" (flatten)
          (("2" (expand "tr" 3)
            (("2" (lemma "append_is_null" ("l1" "c0!1" "l2" "c2!1"))
              (("2" (assert)
                (("2"
                  (inst - "step(c0!1, e0!1, s0!1)`1" "c1!1" "c2!1"
                   "step(c0!1, e0!1, s0!1)`2" "e1!1" "e2!1"
                   "step(c0!1, e0!1, s0!1)`3" "s1!1")
                  (("2"
                    (case-replace
                     "(step(c0!1, e0!1, s0!1)`1, step(c0!1, e0!1, s0!1)`2,
          step(c0!1, e0!1, s0!1)`3)=step(c0!1, e0!1, s0!1)")
                    (("1" (hide -1)
                      (("1" (replace -2 -1)
                        (("1"
                          (case-replace
                           "(append(step(c0!1, e0!1, s0!1)`1, c2!1),
          append(step(c0!1, e0!1, s0!1)`2, e2!1),
          step(c0!1, e0!1, s0!1)`3)=step(append(c0!1, c2!1), append(e0!1, e2!1), s0!1)")
                          (("1" (replace -2)
                            (("1" (expand "/=" 4)
                              (("1"
                                (hide -2 -3)
                                (("1"
                                  (replace -1 -2 rl)
                                  (("1"
                                    (hide -1)
                                    (("1"
                                      (decompose-equality)
                                      (("1"
                                        (flatten)
                                        (("1"
                                          (expand "step")
                                          (("1"
                                            (case "PUSH?(car(c0!1))")
                                            (("1"
                                              (assert)
                                              (("1"
                                                (expand "push")
                                                (("1"
                                                  (expand
                                                   "append"
                                                   -3
                                                   2)
                                                  (("1"
                                                    (lemma
                                                     "length_append"
                                                     ("l1"
                                                      "c0!1"
                                                      "l2"
                                                      "c2!1"))
                                                    (("1"
                                                      (lemma
                                                       "length_append"
                                                       ("l1"
                                                        "cdr(c0!1)"
                                                        "l2"
                                                        "c2!1"))
                                                      (("1"
                                                        (replace
                                                         -4
                                                         -1
                                                         rl)
                                                        (("1"
                                                          (expand
                                                           "length"
                                                           -2
                                                           2)
                                                          (("1"
                                                            (assert)
                                                            nil
                                                            nil))
                                                          nil))
                                                        nil))
                                                      nil))
                                                    nil))
                                                  nil))
                                                nil))
                                              nil)
                                             ("2"
                                              (case
                                               "FETCH?(car(c0!1))")
                                              (("1"
                                                (assert)
                                                (("1"
                                                  (lemma
                                                   "length_append"
                                                   ("l1"
                                                    "c0!1"
                                                    "l2"
                                                    "c2!1"))
                                                  (("1"
                                                    (expand
                                                     "length"
                                                     -1
                                                     2)
                                                    (("1"
                                                      (lemma
                                                       "length_append"
                                                       ("l1"
                                                        "cdr(c0!1)"
                                                        "l2"
                                                        "c2!1"))
                                                      (("1"
                                                        (assert)
                                                        nil
                                                        nil))
                                                      nil))
                                                    nil))
                                                  nil))
                                                nil)
                                               ("2"
                                                (case
                                                 "UNARY?(car(c0!1))")
                                                (("1"
                                                  (assert)
                                                  (("1"
                                                    (expand "check1")
                                                    (("1"
                                                      (case-replace
                                                       "null?(e0!1)")
                                                      (("1"
                                                        (assert)
                                                        (("1"
                                                          (lemma
                                                           "length_append"
                                                           ("l1"
                                                            "cdr(c0!1)"
                                                            "l2"
                                                            "c2!1"))
                                                          (("1"
                                                            (lemma
                                                             "length_append"
                                                             ("l1"
                                                              "c0!1"
                                                              "l2"
                                                              "c2!1"))
                                                            (("1"
                                                              (expand
                                                               " length"
                                                               -1
                                                               2)
                                                              (("1"
                                                                (assert)
                                                                nil
                                                                nil))
                                                              nil))
                                                            nil))
                                                          nil))
                                                        nil))
                                                      nil))
                                                    nil))
                                                  nil)
                                                 ("2"
                                                  (case
                                                   "BINARY?(car(c0!1))")
                                                  (("1"
                                                    (assert)
                                                    (("1"
                                                      (expand "check2")
                                                      (("1"
                                                        (case-replace
                                                         "null?(e0!1)")
                                                        (("1"
                                                          (assert)
                                                          (("1"
                                                            (case-replace
                                                             "null?(cdr(e0!1))")
                                                            (("1"
                                                              (assert)
                                                              (("1"
                                                                (lemma
                                                                 "length_append"
                                                                 ("l1"
                                                                  "cdr(c0!1)"
                                                                  "l2"
                                                                  "c2!1"))
                                                                (("1"
                                                                  (lemma
                                                                   "length_append"
                                                                   ("l1"
                                                                    "c0!1"
                                                                    "l2"
                                                                    "c2!1"))
                                                                  (("1"
                                                                    (expand
                                                                     "length"
                                                                     -1
                                                                     2)
                                                                    (("1"
                                                                      (assert)
                                                                      nil
                                                                      nil))
                                                                    nil))
                                                                  nil))
                                                                nil))
                                                              nil))
                                                            nil))
                                                          nil))
                                                        nil))
                                                      nil))
                                                    nil)
                                                   ("2"
                                                    (case
                                                     "STORE?(car(c0!1))")
                                                    (("1"
                                                      (assert)
                                                      (("1"
                                                        (expand
                                                         "check1")
                                                        (("1"
                                                          (assert)
                                                          (("1"
                                                            (case-replace
                                                             "null?(e0!1)")
                                                            (("1"
                                                              (assert)
                                                              (("1"
                                                                (lemma
                                                                 "length_append"
                                                                 ("l1"
                                                                  "cdr(c0!1)"
                                                                  "l2"
                                                                  "c2!1"))
                                                                (("1"
                                                                  (lemma
                                                                   "length_append"
                                                                   ("l1"
                                                                    "c0!1"
                                                                    "l2"
                                                                    "c2!1"))
                                                                  (("1"
                                                                    (expand
                                                                     "length"
                                                                     -1
                                                                     2)
                                                                    (("1"
                                                                      (assert)
                                                                      nil
                                                                      nil))
                                                                    nil))
                                                                  nil))
                                                                nil))
                                                              nil))
                                                            nil))
                                                          nil))
                                                        nil))
                                                      nil)
                                                     ("2"
                                                      (case
                                                       "NOOP?(car(c0!1))")
                                                      (("1"
                                                        (assert)
                                                        (("1"
                                                          (lemma
                                                           "length_append"
                                                           ("l1"
                                                            "cdr(c0!1)"
                                                            "l2"
                                                            "c2!1"))
                                                          (("1"
                                                            (lemma
                                                             "length_append"
                                                             ("l1"
                                                              "c0!1"
                                                              "l2"
                                                              "c2!1"))
                                                            (("1"
                                                              (expand
                                                               "length"
                                                               -1
                                                               2)
                                                              (("1"
                                                                (assert)
                                                                nil
                                                                nil))
                                                              nil))
                                                            nil))
                                                          nil))
                                                        nil)
                                                       ("2"
                                                        (case
                                                         "BRANCH?(car(c0!1))")
                                                        (("1"
                                                          (assert)
                                                          (("1"
                                                            (expand
                                                             "check1")
                                                            (("1"
                                                              (case-replace
                                                               "null?(e0!1)")
                                                              (("1"
                                                                (assert)
                                                                (("1"
                                                                  (expand
                                                                   "top")
                                                                  (("1"
                                                                    (expand
                                                                     "pop")
                                                                    (("1"
                                                                      (lemma
                                                                       "length_append"
                                                                       ("l1"
                                                                        "cdr(e0!1)"
                                                                        "l2"
                                                                        "e2!1"))
                                                                      (("1"
                                                                        (lemma
                                                                         "length_append"
                                                                         ("l1"
                                                                          "e0!1"
                                                                          "l2"
                                                                          "e2!1"))
                                                                        (("1"
                                                                          (expand
                                                                           "length"
                                                                           -1
                                                                           2)
                                                                          (("1"
                                                                            (assert)
                                                                            nil
                                                                            nil))
                                                                          nil))
                                                                        nil))
                                                                      nil))
                                                                    nil))
                                                                  nil))
                                                                nil))
                                                              nil))
                                                            nil))
                                                          nil)
                                                         ("2"
                                                          (case
                                                           "LOOP?(car(c0!1))")
                                                          (("1"
                                                            (assert)
                                                            (("1"
                                                              (name-replace
                                                               "IB"
                                                               "BRANCH(append(c4(car(c0!1)),
                                        cons
                                        (LOOP
                                         (c3(car(c0!1)), c4(car(c0!1))),
                                         null[Instruction])),
                                 null[Instruction])")
                                                              (("1"
                                                                (rewrite
                                                                 "append_assoc")
                                                                (("1"
                                                                  (name-replace
                                                                   "IBR"
                                                                   "BRANCH(append(c4(car(c0!1)),
                                 cons(LOOP(c3(car(c0!1)), c4(car(c0!1))),
                                      null)),
                          cons(NOOP, null))")
                                                                  (("1"
                                                                    (lemma
                                                                     "append_eq2"
                                                                     ("l2"
                                                                      "c0!1"
                                                                      "l3"
                                                                      "append(c3(car(c0!1)), cons(IBR, cdr(c0!1)))"
                                                                      "l1"
                                                                      "c2!1"))
                                                                    (("1"
                                                                      (replace
                                                                       -1
                                                                       8
                                                                       rl)
                                                                      (("1"
                                                                        (rewrite
                                                                         "append_assoc")
                                                                        nil
                                                                        nil))
                                                                      nil))
                                                                    nil))
                                                                  nil))
                                                                nil))
                                                              nil))
                                                            nil)
                                                           ("2"
                                                            (assert)
                                                            nil
                                                            nil))
                                                          nil))
                                                        nil))
                                                      nil))
                                                    nil))
                                                  nil))
                                                nil))
                                              nil))
                                            nil))
                                          nil))
                                        nil)
                                       ("2"
                                        (flatten)
                                        (("2"
                                          (lemma
                                           "append_eq2"
                                           ("l2"
                                            "e0!1"
                                            "l3"
                                            "step(c0!1, e0!1, s0!1)`2"
                                            "l1"
                                            "e2!1"))
                                          (("2" (assert) nil nil))
                                          nil))
                                        nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil)
                           ("2" (hide -1 -2 5)
                            (("2" (expand "step")
                              (("2"
                                (case-replace
                                 "car(append(c0!1, c2!1))= car(c0!1)")
                                (("1"
                                  (case-replace
                                   "cdr(append(c0!1, c2!1))= append(cdr(c0!1),c2!1)")
                                  (("1"
                                    (case "PUSH?(car(c0!1))")
                                    (("1"
                                      (assert)
                                      (("1"
                                        (expand "push")
                                        (("1"
                                          (expand "append" 1 1)
                                          (("1" (propax) nil nil))
                                          nil))
                                        nil))
                                      nil)
                                     ("2"
                                      (case "FETCH?(car(c0!1))")
                                      (("1"
                                        (assert)
                                        (("1"
                                          (expand "push")
                                          (("1"
                                            (expand "append" 2 1)
                                            (("1" (propax) nil nil))
                                            nil))
                                          nil))
                                        nil)
                                       ("2"
                                        (case "UNARY?(car(c0!1))")
                                        (("1"
                                          (assert)
                                          (("1"
                                            (expand "check1")
                                            (("1"
                                              (expand "push")
                                              (("1"
                                                (expand "top")
                                                (("1"
                                                  (lemma
                                                   "append_is_null"
                                                   ("l1"
                                                    "e0!1"
                                                    "l2"
                                                    "e2!1"))
                                                  (("1"
                                                    (case-replace
                                                     "null?(e0!1)")
                                                    (("1"
                                                      (assert)
                                                      (("1"
                                                        (expand "pop")
                                                        (("1"
                                                          (expand
                                                           "append"
                                                           5
                                                           1)
                                                          (("1"
                                                            (expand
                                                             "append"
                                                             5
                                                             2)
                                                            (("1"
                                                              (expand
                                                               "append"
                                                               5
                                                               2)
                                                              (("1"
                                                                (propax)
                                                                nil
                                                                nil))
                                                              nil))
                                                            nil))
                                                          nil))
                                                        nil))
                                                      nil))
                                                    nil))
                                                  nil))
                                                nil))
                                              nil))
                                            nil))
                                          nil)
                                         ("2"
                                          (case "BINARY?(car(c0!1))")
                                          (("1"
                                            (assert)
                                            (("1"
                                              (expand "check2")
                                              (("1"
                                                (expand "pop")
                                                (("1"
                                                  (expand "push")
                                                  (("1"
                                                    (expand "top")
                                                    (("1"
                                                      (case-replace
                                                       "null?(e0!1)")
                                                      (("1"
                                                        (assert)
                                                        (("1"
                                                          (case-replace
                                                           "null?(cdr(e0!1))")
                                                          (("1"
                                                            (assert)
                                                            (("1"
                                                              (lemma
                                                               "append_is_null"
                                                               ("l1"
                                                                "e0!1"
                                                                "l2"
                                                                "e2!1"))
                                                              (("1"
                                                                (assert)
                                                                (("1"
                                                                  (lemma
                                                                   "append_is_null"
                                                                   ("l1"
                                                                    "cdr(e0!1)"
                                                                    "l2"
                                                                    "e2!1"))
                                                                  (("1"
                                                                    (assert)
                                                                    (("1"
                                                                      (expand
                                                                       "append"
                                                                       8
                                                                       3)
                                                                      (("1"
                                                                        (expand
                                                                         "append"
                                                                         8
                                                                         1)
                                                                        (("1"
                                                                          (expand
                                                                           "append"
                                                                           8
                                                                           2)
                                                                          (("1"
                                                                            (case-replace
                                                                             "cdr(append(e0!1, e2!1)) = append(cdr(e0!1),e2!1)")
                                                                            (("1"
                                                                              (expand
                                                                               "append"
                                                                               8
                                                                               2)
                                                                              (("1"
                                                                                (name-replace
                                                                                 "TOP"
                                                                                 "f2(car(c0!1))(car(e0!1), car(cdr(e0!1)))")
                                                                                (("1"
                                                                                  (expand
                                                                                   "append"
                                                                                   8
                                                                                   2)
                                                                                  (("1"
                                                                                    (propax)
                                                                                    nil
                                                                                    nil))
                                                                                  nil))
                                                                                nil))
                                                                              nil)
                                                                             ("2"
                                                                              (expand
                                                                               "append"
                                                                               1
                                                                               1)
                                                                              (("2"
                                                                                (propax)
                                                                                nil
                                                                                nil))
                                                                              nil))
                                                                            nil))
                                                                          nil))
                                                                        nil))
                                                                      nil))
                                                                    nil))
                                                                  nil))
                                                                nil))
                                                              nil))
                                                            nil))
                                                          nil))
                                                        nil))
                                                      nil))
                                                    nil))
                                                  nil))
                                                nil))
                                              nil))
                                            nil)
                                           ("2"
                                            (case "STORE?(car(c0!1))")
                                            (("1"
                                              (assert)
                                              (("1"
                                                (expand "check1")
                                                (("1"
                                                  (case-replace
                                                   "null?(e0!1)")
                                                  (("1"
                                                    (assert)
                                                    (("1"
                                                      (expand "pop")
                                                      (("1"
                                                        (expand "top")
                                                        (("1"
                                                          (lemma
                                                           "append_is_null"
                                                           ("l1"
                                                            "e0!1"
                                                            "l2"
                                                            "e2!1"))
                                                          (("1"
                                                            (assert)
                                                            (("1"
                                                              (expand
                                                               "append"
                                                               7
                                                               2)
                                                              (("1"
                                                                (expand
                                                                 "append"
                                                                 7)
                                                                (("1"
                                                                  (propax)
                                                                  nil
                                                                  nil))
                                                                nil))
                                                              nil))
                                                            nil))
                                                          nil))
                                                        nil))
                                                      nil))
                                                    nil))
                                                  nil))
                                                nil))
                                              nil)
                                             ("2"
                                              (case "NOOP?(car(c0!1))")
                                              (("1" (assert) nil nil)
                                               ("2"
                                                (case
                                                 "BRANCH?(car(c0!1))")
                                                (("1"
                                                  (assert)
                                                  (("1"
                                                    (expand "check1")
                                                    (("1"
                                                      (case-replace
                                                       "null?(e0!1)")
                                                      (("1"
                                                        (assert)
                                                        (("1"
                                                          (expand
                                                           "pop")
                                                          (("1"
                                                            (expand
                                                             "top")
                                                            (("1"
                                                              (lemma
--> --------------------

--> maximum size reached

--> --------------------

¤ Dauer der Verarbeitung: 0.47 Sekunden  (vorverarbeitet)  ¤



Download des
Quellennavigators
Download des
sprechenden Kalenders

in der Quellcodebibliothek suchen




Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.


Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.


Bot Zugriff