Quellcode-Bibliothek

^© Kompilation durch diese Firma

[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]

Datei: UnexpectedSourceImageSize.java Sprache: Lisp

Original von: PVS^©

(max_bounded_posnat
(bnd_TCC1 0
  (bnd_TCC1-1 nil 3507028515
   (""
    (inst +
     "(LAMBDA (S: {A: (nonempty?[posnat]) | EXISTS x: FORALL (y: (A)): y <= x}): choose({ a | FORALL (x: (S)): x <= a}))")
    (("" (skosimp*)
      (("" (expand "nonempty?")
        (("" (expand "empty?")
          (("" (expand "member")
            (("" (typepred "S!1")
              (("" (skosimp*) (("" (inst -3 "x!1") nil))))))))))))))
    nil)
   ((empty? const-decl "bool" sets nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (member const-decl "bool" sets nil)
    (choose const-decl "(p)" sets nil) (<= const-decl "bool" reals nil)
    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers 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))
   nil))
(max_rec_TCC1 0
  (max_rec_TCC1-1 nil 3507028515
   ("" (skosimp*) (("" (typepred "i!1") (("" (assert) nil)))) nil)
   ((<= const-decl "bool" reals nil) (choose const-decl "(p)" sets nil)
    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (>= const-decl "bool" reals 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)
    (> const-decl "bool" reals 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)
    (number nonempty-type-decl nil numbers nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (int_minus_int_is_int application-judgement "int" integers nil))
   nil))
(max_rec_TCC2 0
  (max_rec_TCC2-1 nil 3507028515
   ("" (skosimp*) (("" (typepred "i!1") (("" (assert) nil)))) nil)
   ((<= const-decl "bool" reals nil) (choose const-decl "(p)" sets nil)
    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (>= const-decl "bool" reals 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)
    (> const-decl "bool" reals 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)
    (number nonempty-type-decl nil numbers nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (int_minus_int_is_int application-judgement "int" integers nil))
   nil))
(max_rec_TCC3 0
  (max_rec_TCC3-1 nil 3507028515
   ("" (skosimp*) (("" (assert) nil)) nil)
   ((int_minus_int_is_int application-judgement "int" integers nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil))
   nil))
(max_rec_in 0
  (max_rec_in-1 nil 3507028515
   ("" (induct "m")
    (("1" (skosimp*)
      (("1" (case-replace "n!1 = choose(S!1)")
        (("1" (expand "max_rec") (("1" (propax) nil)))
         ("2" (assert) nil)))))
     ("2" (skosimp*)
      (("2" (expand "max_rec" 1)
        (("2" (inst?) (("1" (assert) nil) ("2" (assert) nil)))))))
     ("3" (hide 2) (("3" (skosimp*) nil))))
    nil)
   ((real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (n!1 skolem-const-decl "posnat" max_bounded_posnat nil)
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (int_minus_int_is_int application-judgement "int" integers nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (minus_odd_is_odd application-judgement "odd_int" integers nil)
    (nat_induction formula-decl nil naturalnumbers nil)
    (max_rec def-decl "posnat" max_bounded_posnat nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (choose const-decl "(p)" sets nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (<= const-decl "bool" reals nil)
    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers 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))
   nil))
(max_rec_bnd 0
  (max_rec_bnd-1 nil 3507028515
   ("" (induct "m")
    (("1" (skosimp*)
      (("1" (expand "max_rec")
        (("1" (lift-if) (("1" (ground) nil)))))))
     ("2" (skosimp*)
      (("2" (expand "max_rec" 1)
        (("2" (lift-if)
          (("2" (ground) (("2" (inst?) (("2" (assert) nil)))))))))))
     ("3" (hide 2) (("3" (skosimp*) nil))))
    nil)
   ((posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (nat_induction formula-decl nil naturalnumbers nil)
    (max_rec def-decl "posnat" max_bounded_posnat nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (choose const-decl "(p)" sets nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (<= const-decl "bool" reals nil)
    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers 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)
    (int_minus_int_is_int application-judgement "int" integers nil))
   nil))
(max_TCC1 0
  (max_TCC1-1 nil 3507028515
   (""
    (inst +
     "(LAMBDA (S: {A: (nonempty?[posnat]) | EXISTS x: FORALL (y: (A)): y <= x}): max_rec(S,bnd(S)))")
    (("1" (skosimp*)
      (("1" (typepred "bnd(S!1)")
        (("1" (inst - "choose[posnat](S!1)")
          (("1" (lemma "max_rec_in")
            (("1" (inst?)
              (("1" (inst -1 "bnd(S!1) - choose(S!1)")
                (("1" (assert)
                  (("1" (skosimp*)
                    (("1" (lemma "max_rec_bnd")
                      (("1" (inst?)
                        (("1" (inst - "bnd(S!1) - x!1")
                          (("1" (assert)
                            (("1" (typepred "bnd(S!1)")
                              (("1"
                                (inst - "x!1")
                                (("1" (assert) nil)))))))
                           ("2" (typepred "bnd(S!1)")
                            (("2" (inst - "x!1")
                              (("2" (assert) nil)))))))))))))))
                 ("2" (assert) nil)))))))))))))
     ("2" (skosimp*)
      (("2" (typepred "bnd(S!1)")
        (("2" (inst - "choose(S!1)") (("2" (assert) nil))))))))
    nil)
   ((real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (max_rec_bnd formula-decl nil max_bounded_posnat nil)
    (x!1 skolem-const-decl "posnat" max_bounded_posnat nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (S!1 skolem-const-decl
     "{A: (nonempty?[posnat]) | EXISTS x: FORALL (y: (A)): y <= x}"
     max_bounded_posnat nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (int_minus_int_is_int application-judgement "int" integers nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (max_rec_in formula-decl nil max_bounded_posnat nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bnd const-decl "{a | FORALL (x: (S)): x <= a}" max_bounded_posnat
     nil)
    (max_rec def-decl "posnat" max_bounded_posnat nil)
    (choose const-decl "(p)" sets nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (<= const-decl "bool" reals nil)
    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers 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))
   nil))
(max_def 0
  (max_def-1 nil 3507028515
   ("" (skosimp*)
    (("" (prop)
      (("1" (expand "maximum?")
        (("1" (assert)
          (("1" (skosimp*)
            (("1" (assert)
              (("1" (replace -1 * rl)
                (("1" (hide -1)
                  (("1" (typepred "max(S!1)")
                    (("1" (inst?) (("1" (assert) nil)))))))))))))))))
       ("2" (expand "maximum?")
        (("2" (flatten)
          (("2" (typepred "max(S!1)")
            (("2" (inst -3 "a!1")
              (("2" (inst -5 "max(S!1)")
                (("2" (assert) nil))))))))))))))
    nil)
   ((real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props 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)
    (>= const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (set type-eq-decl nil sets nil)
    (nonempty? const-decl "bool" sets nil)
    (<= const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (max const-decl
         "{a: posnat | S(a) AND (FORALL x: S(x) IMPLIES x <= a)}"
         max_bounded_posnat nil)
    (maximum? const-decl "bool" max_bounded_posnat nil))
   nil))
(max_lem 0
  (max_lem-1 nil 3507028515
   ("" (skosimp*)
    (("" (lemma "max_def") (("" (inst?) (("" (assert) nil)))))) nil)
   ((max_def formula-decl nil max_bounded_posnat nil)
    (max const-decl
         "{a: posnat | S(a) AND (FORALL x: S(x) IMPLIES x <= a)}"
         max_bounded_posnat nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (<= const-decl "bool" reals nil)
    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers 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))
   nil))
(max_in 0
  (max_in-1 nil 3507028515 ("" (skosimp*) (("" (assert) nil)) nil) nil
   nil)))

¤ Dauer der Verarbeitung: 0.72 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.