Quelle prooflite_examples.prf Sprache: Lisp

(prooflite_examples
(l1 0 (l1-1 nil 3566926079 ("" (grind) nil) nil shostak))
(l2 0
  (l2-1 nil 3566926079 ("" (then (skosimp) (grind)) nil)
   ((nzreal_times_nzreal_is_nzreal application-judgement "nzreal"
     real_types nil)
    (nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
     real_types nil))
   shostak))
(l3 0 (l3-1 nil 3566926079 ("" (grind) nil) nil shostak))
(l4 0
  (l4-1 nil 3566926079 ("" (grind) nil)
   ((nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
     real_types nil))
   shostak))
(l3a 0 (l3a-1 nil 3566926079 ("" (grind) nil) nil shostak))
(l4a 0
  (l4a-1 nil 3566926079 ("" (grind) nil)
   ((nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
     real_types nil))
   shostak))
(l_5_6 0
  (l_5_6-1 nil 3566926079
   (""
    (then (skip-msg "Proving Lemma: l_5_6") (inst 1 "5 + (6 - 5)/2")
     (grind))
    nil)
   ((rat_plus_rat_is_rat application-judgement "rat" rationals nil)
    (number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil 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)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (/= const-decl "boolean" notequal nil)
    (nznum nonempty-type-eq-decl nil number_fields nil)
    (/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (even_minus_odd_is_odd application-judgement "odd_int" integers
     nil)
    (nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
     nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil))
   shostak))
(l_6_7 0
  (l_6_7-1 nil 3566926079
   (""
    (then (skip-msg "Proving Lemma: l_6_7") (inst 1 "6 + (7 - 6)/2")
     (grind))
    nil)
   ((rat_plus_rat_is_rat application-judgement "rat" rationals nil)
    (number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil 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)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (/= const-decl "boolean" notequal nil)
    (nznum nonempty-type-eq-decl nil number_fields nil)
    (/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (odd_minus_even_is_odd application-judgement "odd_int" integers
     nil)
    (nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
     nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil))
   shostak))
(l_8 0
  (l_8-1 nil 3566926079
   ("" (then (skip-msg "Proving Lemma: l_8") (inst 1 "2" "6") (grind))
    nil)
   ((number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil 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)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (even_plus_even_is_even application-judgement "even_int" integers
     nil))
   shostak))
(l_9 0
  (l_9-1 nil 3566926079
   ("" (then (skip-msg "Proving Lemma: l_9") (inst 1 "4" "5") (grind))
    nil)
   ((number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil 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)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (even_plus_odd_is_odd application-judgement "odd_int" integers
     nil))
   shostak)))

quality100%

¤ Dauer der Verarbeitung: 0.12 Sekunden (vorverarbeitet) ¤

Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

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.