| products/sources/formale Sprachen/PVS/graphs/ |
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Quellcode-Bibliothek© Kompilation durch diese Firma[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]Datei: gtk_parsing.mli Sprache: LispOriginal von: PVS© |
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(path_circ
(path_reduc_TCC1 0 (path_reduc_TCC1-1 nil 3253636829 ("" (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) (path? const-decl "bool" paths nil) (Path type-eq-decl nil paths 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) (below type-eq-decl nil naturalnumbers nil) (G!1 skolem-const-decl "graph[T]" path_circ nil) (walk? const-decl "bool" walks nil) (edge? const-decl "bool" graphs nil) (finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences 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) (nil application-judgement "finite_set[T]" path_circ nil) (T formal-type-decl nil path_circ nil) (verts_in? const-decl "bool" walks nil) (/= const-decl "boolean" notequal nil)) nil)) (path_reduc 0 (path_reduc-1 nil 3253636829 ("" (skosimp*) (("" (typepred "p!1") (("" (install-rewrites "paths") (("" (grind) nil nil)) nil)) nil)) nil) ((Path type-eq-decl nil paths nil) (path? 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(("" (flatten) (("" (prop) (("1" (grind) nil nil) ("2" (skosimp*) (("2" (expand "finseq_appl") (("2" (inst - "n!1") (("2" (expand* "^" min empty_seq) (("2" (assert) nil nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil) ((trunc1 const-decl "prewalk" walks nil) (nil application-judgement "finite_set[T]" path_circ nil) (real_ge_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) (int_min application-judgement "{k: int | k <= i AND k <= j}" real_defs nil) (posint_plus_nnint_is_posint application-judgement "posint" integers nil) (int_minus_int_is_int application-judgement "int" integers nil) (edge? const-decl "bool" graphs nil) (/= const-decl "boolean" notequal nil) (finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences nil) (verts_in? const-decl "bool" walks nil) (T formal-type-decl nil path_circ nil) (^ const-decl "finseq" finite_sequences nil) (min const-decl "{p: real | p <= m AND p <= n}" real_defs nil) (empty_seq const-decl "finseq" finite_sequences nil) (real_lt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props 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) (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) (bool nonempty-type-eq-decl nil booleans nil) (>= const-decl "bool" reals nil) (nat nonempty-type-eq-decl nil naturalnumbers nil) (numfield nonempty-type-eq-decl nil number_fields nil) (- const-decl "[numfield, numfield -> numfield]" number_fields nil) 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(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 path_circ 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) (nil application-judgement "finite_set[T]" path_circ nil)) nil)) (walks_concat_red_TCC2 0 (walks_concat_red_TCC2-1 nil 3253636829 ("" (subtype-tcc) nil nil) ((boolean nonempty-type-decl nil booleans nil) (bool nonempty-type-eq-decl nil booleans 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(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) (reducible? const-decl "bool" circuits nil) (reduced? const-decl "bool" circuits nil) (nil application-judgement "finite_set[T]" path_circ nil)) nil)) (walks_concat_red_TCC5 0 (walks_concat_red_TCC5-1 nil 3253636829 ("" (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 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(reducible? const-decl "bool" circuits nil) (reduced? const-decl "bool" circuits nil) (nil application-judgement "finite_set[T]" path_circ nil)) nil)) (walks_concat_red_TCC6 0 (walks_concat_red_TCC6-1 nil 3253636829 ("" (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) (real_lt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props nil) (int_minus_int_is_int application-judgement "int" integers nil) (real_ge_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) (T formal-type-decl nil path_circ 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) (reducible? const-decl "bool" circuits nil) (reduced? const-decl "bool" circuits nil) (nil application-judgement "finite_set[T]" path_circ nil)) nil)) (walks_concat_red_TCC7 0 (walks_concat_red_TCC7-1 nil 3253636829 ("" (lemma "trunc_long") (("" (lemma "verts_in?_concat") (("" (lemma "trunc_walk") (("" (skosimp*) (("" (inst -3 "u!1" "w!1") (("" (inst -2 "G!1" "trunc1(u!1)" "w!1") (("1" (inst -1 "G!1" "u!1") (("1" (grind) nil nil)) nil) ("2" (grind) nil nil) ("3" (grind) nil nil)) nil)) nil)) nil)) nil)) nil)) nil) ((T formal-type-decl nil path_circ nil) (verts_in?_concat formula-decl nil walks nil) (real_ge_is_total_order name-judgement "(total_order?[real])" real_props nil) (>= const-decl "bool" reals nil) (u!1 skolem-const-decl "prewalk[T]" path_circ nil) (trunc1 const-decl "prewalk" walks nil) (Longprewalk type-eq-decl nil walks nil) (G!1 skolem-const-decl "graph[T]" path_circ nil) (verts_in? const-decl "bool" walks nil) (graph type-eq-decl nil graphs nil) (IMPLIES const-decl "[bool, bool -> bool]" booleans nil) (pregraph type-eq-decl nil graphs nil) (finite_set type-eq-decl nil finite_sets nil) (doubleton type-eq-decl 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naturalnumbers nil) (trunc_walk formula-decl nil path_circ nil) (trunc_long formula-decl nil path_circ nil)) nil)) (walks_concat_red 0 (walks_concat_red-1 nil 3253636829 ("" (expand "trunc1") (("" (skosimp*) (("" (expand "reduced?" 2) (("" (expand "reducible?" -) (("" (skolem! -8) (("" (case "k!1 < length(u!1)-1") (("1" (hide -3) (("1" (expand "reduced?" -5) (("1" (expand "reducible?" 1) (("1" (inst 1 "k!1") (("1" (assert) (("1" (expand "finseq_appl") (("1" (grind) nil nil)) nil)) nil)) nil)) nil)) nil)) nil) ("2" (hide -1) (("2" (case "k!1 >length(u!1) -1") (("1" (expand "reduced?" -6) (("1" (expand "reducible?" 2) (("1" (inst 2 "k!1 - length(u!1) +1") (("1" (assert) (("1" (expand "finseq_appl") (("1" (grind) nil nil)) nil)) nil) ("2" (grind) nil nil)) nil)) nil)) nil) ("2" (hide -1) (("2" (assert) (("2" (expand "finseq_appl") (("2" (grind) nil nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil) ((reducible? const-decl "bool" circuits nil) (prewalk type-eq-decl nil 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