Quellcode-Bibliothek

^© Kompilation durch diese Firma

[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]

Datei: abstract_max.prf Sprache: Lisp

Original von: PVS^©

(abstract_max
(prep0 0
  (prep0-1 nil 3507100931
   ("" (lemma "T_ne")
    (("" (expand "nonempty?")
      (("" (expand "empty?")
        (("" (skosimp*)
          (("" (expand "member")
            (("" (expand "is_one")
              (("" (inst -2 "size(t!1)")
                (("" (inst 1 "t!1") (("" (assert) nil))))))))))))))))
    nil)
   ((nonempty? const-decl "bool" sets nil)
    (is_one const-decl "bool" abstract_max nil)
    (size formal-const-decl "[T -> upto[N]]" abstract_max nil)
    (T formal-type-decl nil abstract_max nil)
    (upto nonempty-type-eq-decl nil nat_types nil)
    (N formal-const-decl "nat" abstract_max nil)
    (<= const-decl "bool" reals 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)
    (member const-decl "bool" sets nil)
    (empty? const-decl "bool" sets nil)
    (T_ne formula-decl nil abstract_max nil))
   nil))
(max_f_TCC1 0
  (max_f_TCC1-1 nil 3507100931
   ("" (lemma "prep0") (("" (propax) nil)) nil)
   ((prep0 formula-decl nil abstract_max nil)) nil))
(prep1 0
  (prep1-1 nil 3507100931
   ("" (expand "nonempty?")
    (("" (expand "empty?")
      (("" (expand "member")
        (("" (expand "max_f")
          (("" (typepred "max({n: upto[N] | is_one(n)})")
            (("1" (expand "is_one")
              (("1" (skosimp*)
                (("1" (inst -5 "S!1") (("1" (assert) nil)))))))
             ("2" (rewrite "prep0") nil))))))))))
    nil)
   ((empty? const-decl "bool" sets nil)
    (max_f const-decl "upto[N]" abstract_max nil)
    (prep0 formula-decl nil abstract_max nil)
    (T formal-type-decl nil abstract_max nil)
    (real_le_is_total_order name-judgement "(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)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (N formal-const-decl "nat" abstract_max nil)
    (upto nonempty-type-eq-decl nil nat_types nil)
    (set type-eq-decl nil sets nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (max const-decl
         "{a: upto[N] | S(a) AND (FORALL x: S(x) IMPLIES a >= x)}"
         max_upto nil)
    (is_one const-decl "bool" abstract_max nil)
    (member const-decl "bool" sets nil)
    (nonempty? const-decl "bool" sets nil))
   nil))
(max_TCC1 0
  (max_TCC1-1 nil 3507100931
   ("" (lemma "prep1")
    (("" (expand "nonempty?")
      (("" (expand "empty?")
        (("" (skosimp*)
          (("" (expand "member")
            (("" (inst?)
              (("" (expand "maximal?")
                (("" (flatten)
                  (("" (assert)
                    (("" (skosimp*)
                      (("" (expand "max_f")
                        (("" (replace -2)
                          (("" (hide -2)
                            ((""
                              (typepred
                               "max({n: upto[N] | is_one(n)})")
                              (("1"
                                (inst -3 "size(SS!1)")
                                (("1"
                                  (assert)
                                  (("1"
                                    (expand "is_one")
                                    (("1"
                                      (inst?)
                                      (("1" (assert) nil)))))))))
                               ("2"
                                (lemma "prep0")
                                (("2"
                                  (propax)
                                  nil))))))))))))))))))))))))))))))
    nil)
   ((nonempty? const-decl "bool" sets nil)
    (T formal-type-decl nil abstract_max nil)
    (boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (maximal? const-decl "bool" abstract_max nil)
    (x!1 skolem-const-decl "T" abstract_max nil)
    (is_one const-decl "bool" abstract_max nil)
    (max const-decl
         "{a: upto[N] | S(a) AND (FORALL x: S(x) IMPLIES a >= x)}"
         max_upto nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (set type-eq-decl nil sets nil)
    (upto nonempty-type-eq-decl nil nat_types nil)
    (N formal-const-decl "nat" abstract_max nil)
    (nat nonempty-type-eq-decl nil naturalnumbers 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)
    (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)
    (size formal-const-decl "[T -> upto[N]]" abstract_max nil)
    (prep0 formula-decl nil abstract_max nil)
    (max_f const-decl "upto[N]" abstract_max nil)
    (member const-decl "bool" sets nil)
    (empty? const-decl "bool" sets nil)
    (prep1 formula-decl nil abstract_max nil))
   nil))
(max_def 0
  (max_def-1 nil 3507100931
   ("" (typepred "max") (("" (propax) nil)) nil)
   ((boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (T formal-type-decl nil abstract_max nil)
    (maximal? const-decl "bool" abstract_max nil)
    (max const-decl "{S: T | maximal?(S)}" abstract_max nil))
   nil))
(max_in 0
  (max_in-1 nil 3507100931
   ("" (typepred "max")
    (("" (expand "maximal?") (("" (flatten) (("" (propax) nil))))))
    nil)
   ((boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (T formal-type-decl nil abstract_max nil)
    (maximal? const-decl "bool" abstract_max nil)
    (max const-decl "{S: T | maximal?(S)}" abstract_max nil))
   nil))
(max_is_max 0
  (max_is_max-1 nil 3507100931
   ("" (skosimp*)
    (("" (typepred "max")
      (("" (expand "maximal?")
        (("" (flatten) (("" (inst?) (("" (assert) nil))))))))))
    nil)
   ((max const-decl "{S: T | maximal?(S)}" abstract_max nil)
    (maximal? const-decl "bool" abstract_max nil)
    (T formal-type-decl nil abstract_max nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil))
   nil)))

¤ Dauer der Verarbeitung: 0.3 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.