| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/PVS/ints/ (Beweissystem der NASA Version 6.0.9©) Datei vom 28.9.2014 mit Größe 6 kB |
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Quelle max_upto.prf Sprache: Lisp |
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(max_upto
(max_TCC1 0 (max_TCC1-1 nil 3507028517 ("" (inst 1 "(LAMBDA S: N - min({y: upto[N] | S(N-y)}))") (("1" (skosimp*) (("1" (typepred "min[upto[N]]({y: upto[N] | S!1(N - y)})") (("1" (ground) (("1" (skosimp*) (("1" (inst - "N-x!1") (("1" (assert) nil nil)) nil)) nil)) nil) ("2" (hide 2) (("2" (expand "nonempty?") (("2" (typepred "S!1") (("2" (expand "nonempty?") (("2" (expand "empty?") (("2" (skosimp*) (("2" (expand "member") (("2" (inst -2 "N-x!1") (("2" (assert) nil nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil) ("2" (skosimp*) (("2" (typepred "S!1") (("2" (expand "nonempty?") (("2" (expand "empty?") (("2" (skosimp*) (("2" (expand "member") (("2" (inst - "N-x!1") (("2" (assert) nil nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil) ((empty? const-decl "bool" sets nil) (member const-decl "bool" sets nil) (real_le_is_total_order name-judgement "(total_order?[real])" real_props nil) (real_ge_is_total_order name-judgement "(total_order?[real])" real_props nil) (NOT const-decl "[bool -> bool]" booleans nil) (min const-decl "{a | S(a) AND (FORALL x: S(x) IMPLIES a <= x)}" min_nat nil) (- const-decl "[numfield, numfield -> numfield]" number_fields nil) (numfield nonempty-type-eq-decl nil number_fields nil) (IMPLIES const-decl "[bool, bool -> bool]" booleans nil) (AND const-decl "[bool, bool -> bool]" booleans nil) (nonempty? const-decl "bool" sets nil) (set type-eq-decl nil sets nil) (upto nonempty-type-eq-decl nil nat_types nil) (N formal-const-decl "nat" max_upto 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) (int_minus_int_is_int application-judgement "int" integers nil)) nil)) (max_def 0 (max_def-1 nil 3507028517 ("" (skolem-typepred) (("" (typepred "max(S!1)") (("" (prop) (("1" (expand "maximum?") (("1" (assert) (("1" (skosimp*) (("1" (inst?) (("1" (assert) nil nil)) nil)) nil)) nil)) nil) ("2" (expand "maximum?") (("2" (flatten) (("2" (inst -5 "a!1") (("2" (assert) (("2" (inst -2 "max(S!1)") (("2" (assert) nil nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) 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) (maximum? const-decl "bool" max_upto 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) (nonempty? const-decl "bool" sets nil) (set type-eq-decl nil sets nil) (upto nonempty-type-eq-decl nil nat_types nil) (N formal-const-decl "nat" max_upto nil) (<= const-decl "bool" reals 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) (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)) nil)) (max_lem 0 (max_lem-1 nil 3507028517 ("" (skosimp*) (("" (expand "maximum?") (("" (assert) (("" (lemma "max_def") (("" (inst?) (("" (inst?) (("" (assert) nil nil)) nil)) nil)) nil)) nil)) nil)) nil) ((maximum? const-decl "bool" max_upto nil) (max_def formula-decl nil max_upto 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) (nonempty? const-decl "bool" sets nil) (set type-eq-decl nil sets nil) (upto nonempty-type-eq-decl nil nat_types nil) (N formal-const-decl "nat" max_upto 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)) nil))) ¤ Dauer der Verarbeitung: 0.14 Sekunden (vorverarbeitet) ¤*© Formatika GbR, Deutschland |
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2026-03-28