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Quellcode-Bibliothek

© Kompilation durch diese Firma

[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]

Datei: coqpp_parse.mly   Sprache: Lisp

Untersuchung PVS©

(meng_scaff
 (first_TCC1 0
  (first_TCC1-1 nil 3251049125
   ("" (skosimp*)
    (("" (typepred "ps!1")
      (("" (skosimp*)
        (("" (expand "nonempty?")
          (("" (expand "empty?")
            (("" (expand "member")
              (("" (inst?) (("" (assertnil nil)) nil)) nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((ps_ptype type-eq-decl nil meng_scaff nil)
    (pred type-eq-decl nil defined_types nil)
    (below type-eq-decl nil naturalnumbers nil)
    (< const-decl "bool" reals 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)
    (prewalk type-eq-decl nil walks nil)
    (finseq type-eq-decl nil finite_sequences nil)
    (T formal-type-decl nil meng_scaff nil)
    (below type-eq-decl nil nat_types nil)
    (nat nonempty-type-eq-decl nil naturalnumbers 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)
    (nonempty? const-decl "bool" sets nil)
    (member const-decl "bool" sets nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (empty? const-decl "bool" sets nil))
   nil))
 (first_lem 0
  (first_lem-1 nil 3251049125
   ("" (skosimp*)
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      (("" (lemma "min_lem")
        (("" (inst?)
          (("1" (expand "minimum?") (("1" (flatten) nil nil)) nil)
           ("2" (hide 2)
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              (("2" (typepred "ps!1")
                (("2" (skosimp*)
                  (("2" (expand "empty?")
                    (("2" (expand "member")
                      (("2" (inst?) (("2" (assertnil nil)) nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((first const-decl "below(length(ps))" meng_scaff nil)
    (ps!1 skolem-const-decl "ps_ptype(P!1)" meng_scaff nil)
    (ps_ptype type-eq-decl nil meng_scaff nil)
    (P!1 skolem-const-decl "pred[T]" meng_scaff nil)
    (pred type-eq-decl nil defined_types nil)
    (below type-eq-decl nil naturalnumbers nil)
    (prewalk type-eq-decl nil walks nil)
    (> const-decl "bool" reals nil)
    (finseq type-eq-decl nil finite_sequences nil)
    (T formal-type-decl nil meng_scaff nil)
    (below type-eq-decl nil nat_types nil)
    (< const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets 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)
    (minimum? const-decl "bool" min_nat nil)
    (member const-decl "bool" sets nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (empty? const-decl "bool" sets nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (min_lem formula-decl nil min_lem nil))
   nil))
 (first_not_TCC1 0
  (first_not_TCC1-1 nil 3251049125
   ("" (skosimp*) (("" (assertnil nil)) nil)
   ((real_lt_is_strict_total_order name-judgement
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 (first_not 0
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            (("1" (flatten)
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              nil))
            nil)
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                  (("2" (expand "member")
                    (("2" (inst?) (("2" (assertnil nil)) nil)) nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((first const-decl "below(length(ps))" meng_scaff nil)
    (ps!1 skolem-const-decl "ps_ptype(P!1)" meng_scaff nil)
    (ps_ptype type-eq-decl nil meng_scaff nil)
    (P!1 skolem-const-decl "pred[T]" meng_scaff nil)
    (pred type-eq-decl nil defined_types nil)
    (below type-eq-decl nil naturalnumbers nil)
    (prewalk type-eq-decl nil walks nil)
    (> const-decl "bool" reals nil)
    (finseq type-eq-decl nil finite_sequences nil)
    (T formal-type-decl nil meng_scaff nil)
    (below type-eq-decl nil nat_types nil)
    (< const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets 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)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (minimum? const-decl "bool" min_nat nil)
    (empty? const-decl "bool" sets nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (member const-decl "bool" sets nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (min_lem formula-decl nil min_lem nil))
   nil))
 (meng_to_G_sep_TCC1 0
  (meng_to_G_sep_TCC1-1 nil 3251049125 ("" (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)
    (set type-eq-decl nil sets nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (dbl const-decl "set[T]" doubletons nil)
    (doubleton type-eq-decl nil doubletons nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (finite_set type-eq-decl nil finite_sets nil)
    (pregraph type-eq-decl nil graphs nil)
    (graph type-eq-decl nil graphs 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)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (below type-eq-decl nil nat_types nil)
    (finseq type-eq-decl nil finite_sequences nil)
    (prewalk type-eq-decl nil walks nil)
    (T formal-type-decl nil meng_scaff nil)
    (verts_in? const-decl "bool" walks nil)
    (finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences
     nil)
    (/= const-decl "boolean" notequal nil)
    (edge? const-decl "bool" graphs nil)
    (walk? const-decl "bool" walks nil)
    (walk_from? const-decl "bool" walks nil)
    (in? const-decl "bool" meng_scaff_defs nil)
    (disjoint? const-decl "bool" meng_scaff_defs nil)
    (nil application-judgement "finite_set[T]" meng_scaff nil))
   nil))
 (meng_to_G_sep_TCC2 0
  (meng_to_G_sep_TCC2-1 nil 3251049125 ("" (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)
    (set type-eq-decl nil sets nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (dbl const-decl "set[T]" doubletons nil)
    (doubleton type-eq-decl nil doubletons nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (finite_set type-eq-decl nil finite_sets nil)
    (pregraph type-eq-decl nil graphs nil)
    (graph type-eq-decl nil graphs 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)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (below type-eq-decl nil nat_types nil)
    (finseq type-eq-decl nil finite_sequences nil)
    (prewalk type-eq-decl nil walks nil)
    (T formal-type-decl nil meng_scaff nil)
    (verts_in? const-decl "bool" walks nil)
    (finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences
     nil)
    (/= const-decl "boolean" notequal nil)
    (edge? const-decl "bool" graphs nil)
    (walk? const-decl "bool" walks nil)
    (walk_from? const-decl "bool" walks nil)
    (in? const-decl "bool" meng_scaff_defs nil)
    (disjoint? const-decl "bool" meng_scaff_defs nil)
    (nil application-judgement "finite_set[T]" meng_scaff nil))
   nil))
 (meng_to_G_sep_TCC3 0
  (meng_to_G_sep_TCC3-1 nil 3251049125 ("" (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)
    (set type-eq-decl nil sets nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (dbl const-decl "set[T]" doubletons nil)
    (doubleton type-eq-decl nil doubletons nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (finite_set type-eq-decl nil finite_sets nil)
    (pregraph type-eq-decl nil graphs nil)
    (graph type-eq-decl nil graphs 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)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (below type-eq-decl nil nat_types nil)
    (finseq type-eq-decl nil finite_sequences nil)
    (prewalk type-eq-decl nil walks nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (T formal-type-decl nil meng_scaff nil)
    (verts_in? const-decl "bool" walks nil)
    (finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences
     nil)
    (/= const-decl "boolean" notequal nil)
    (edge? const-decl "bool" graphs nil)
    (walk? const-decl "bool" walks nil)
    (walk_from? const-decl "bool" walks nil)
    (in? const-decl "bool" meng_scaff_defs nil)
    (disjoint? const-decl "bool" meng_scaff_defs nil)
    (nil application-judgement "finite_set[T]" meng_scaff nil))
   nil))
 (meng_to_G_sep_TCC4 0
  (meng_to_G_sep_TCC4-1 nil 3251049125 ("" (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)
    (set type-eq-decl nil sets nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (dbl const-decl "set[T]" doubletons nil)
    (doubleton type-eq-decl nil doubletons nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (finite_set type-eq-decl nil finite_sets nil)
    (pregraph type-eq-decl nil graphs nil)
    (graph type-eq-decl nil graphs 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)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (below type-eq-decl nil nat_types nil)
    (finseq type-eq-decl nil finite_sequences nil)
    (prewalk type-eq-decl nil walks nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (T formal-type-decl nil meng_scaff nil)
    (verts_in? const-decl "bool" walks nil)
    (finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences
     nil)
    (/= const-decl "boolean" notequal nil)
    (edge? const-decl "bool" graphs nil)
    (walk? const-decl "bool" walks nil)
    (walk_from? const-decl "bool" walks nil)
    (in? const-decl "bool" meng_scaff_defs nil)
    (disjoint? const-decl "bool" meng_scaff_defs nil)
    (nil application-judgement "finite_set[T]" meng_scaff nil))
   nil))
 (meng_to_G_sep 0
  (meng_to_G_sep-1 nil 3251049125
   ("" (skosimp*)
    (("" (expand "separates")
      (("" (flatten)
        (("" (expand "dbl")
          (("" (expand "singleton")
            (("" (flatten)
              (("" (assert)
                (("" (expand "in?")
                  (("" (expand "disjoint?")
                    (("" (flatten)
                      (("" (expand "verts_of")
                        (("" (expand "finseq_appl")
                          ((""
                            (case "(EXISTS (i: below(length(p!1))): seq(p!1)(i) = w1!1 OR seq(p!1)(i) = w2!1)")
                            (("1" (skosimp*)
                              (("1"
                                (name
                                 "ipf"
                                 "first((LAMBDA (x:T): x = w1!1 OR x = w2!1),p!1)")
                                (("1"
                                  (lemma "first_lem")
                                  (("1"
                                    (inst?)
                                    (("1"
                                      (lemma "first_not")
                                      (("1"
                                        (inst?)
                                        (("1"
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                                          (("1"
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                                            (("1"
                                              (expand "walk_from?")
                                              (("1"
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                                                (("1"
                                                  (case
                                                   "walk?(G!1,p!1^(0,ipf))")
                                                  (("1"
                                                    (case
                                                     "NOT verts_of(p!1^(0,ipf))(t!1)")
                                                    (("1"
                                                      (hide 11 13)
                                                      (("1"
                                                        (case
                                                         "walk?(H(G!1,s!1,w1!1,w2!1),trunc1(p!1^(0,ipf)))")
                                                        (("1"
                                                          (case
                                                           "walk?(meng(G!1,s!1,t!1,w1!1,w2!1),p!1^(0,ipf))")
                                                          (("1"
                                                            (name-replace
                                                             "Ms"
                                                             "meng(G!1, s!1, t!1, w1!1, w2!1)")
                                                            (("1"
                                                              (hide
                                                               -2
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                                                              (("1"
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                                                                 "walk?(Ms,add1(p!1^(0,ipf),t!1))")
                                                                (("1"
                                                                  (case-replace
                                                                   "del_verts(Ms, {y: T | y = z!1}) = del_vert(Ms,z!1)")
                                                                  (("1"
                                                                    (inst
                                                                     +
                                                                     "add1(p!1^(0,ipf),t!1)")
                                                                    (("1"
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                                                                       "walk?_del_vert_not")
                                                                      (("1"
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                                                                        (("1"
                                                                          (expand
                                                                           "add1")
                                                                          (("1"
                                                                            (expand*
                                                                             "^"
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                                                                        (hide
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                                                                         -4
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--> --------------------

--> maximum size reached

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

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