| products/Sources/formale Sprachen/PVS/digraphs/ |
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Quellcode-Bibliothek© Kompilation durch diese Firma[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]Datei: circuits.prf Sprache: LispOriginal von: PVS© |
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(circuits
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(("" (assert) (("" (hide -1) (("" (lemma "eq_relation_eq_prewalk") (("" (expand "equivalence?") (("" (flatten) (("" (hide -2 -3) (("" (expand "reflexive?") (("" (inst -1 "rest(w)") nil nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil) ((eq_circuit? const-decl "bool" circuits nil) (equivalence? const-decl "bool" relations 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) (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) (bool nonempty-type-eq-decl nil booleans nil) (> const-decl "bool" reals nil) (prewalk type-eq-decl nil walks nil) (rest const-decl "finseq" seq_extras "structures/") (reflexive? const-decl "bool" relations nil) (eq_relation_eq_prewalk formula-decl nil walks nil) (T formal-type-decl nil circuits nil)) shostak)) (eq_circuit_symmetric 0 (eq_circuit_symmetric-1 nil 3563539116 ("" (skeep) (("" (expand "eq_circuit?") 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"circuit?") (("" (flatten) (("" (assert) nil nil)) nil)) nil)) nil) ((circuit? const-decl "bool" circuits nil) (loop? const-decl "bool" circuits nil)) shostak)) (equal_rest_equal_circuit 0 (equal_rest_equal_circuit-1 nil 3578694276 ("" (skeep) (("" (decompose-equality 1) (("1" (hide -1 -2) (("1" (grind) nil nil)) nil) ("2" (decompose-equality 1) (("2" (typepred "x!1") (("2" (expand* "circuit?" "pre_circuit?" 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(("" (flatten) (("" (hide -4) (("" (assert) nil nil)) nil)) nil)) nil)) nil)) nil)) nil) ((eq_circuit? const-decl "bool" circuits nil) (prewalk type-eq-decl nil walks 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) (finseq type-eq-decl nil finite_sequences nil) (below type-eq-decl nil nat_types nil) (nat nonempty-type-eq-decl nil naturalnumbers nil) (digraph type-eq-decl nil digraphs nil) (AND const-decl "[bool, bool -> bool]" booleans nil) (IMPLIES const-decl "[bool, bool -> bool]" booleans nil) (bool nonempty-type-eq-decl nil booleans nil) (boolean nonempty-type-decl nil booleans nil) (predigraph type-eq-decl nil digraphs nil) (finite_set type-eq-decl nil finite_sets nil) (edgetype type-eq-decl nil digraphs nil) (T formal-type-decl nil circuits nil) (equal_rest_equal_circuit formula-decl nil circuits nil)) shostak)) (circuit_equal_fisrt_TCC1 0 (circuit_equal_fisrt_TCC1-1 nil 3578740546 ("" (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) (edgetype type-eq-decl nil digraphs nil) (IMPLIES const-decl "[bool, bool -> bool]" booleans nil) (finite_set type-eq-decl nil finite_sets nil) (predigraph type-eq-decl nil digraphs nil) (AND const-decl "[bool, bool -> bool]" booleans nil) (digraph type-eq-decl nil digraphs 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) (min const-decl "{p: real | p <= m AND p <= n}" real_defs nil) (^ const-decl "finseq" finite_sequences nil) (int_plus_int_is_int application-judgement "int" integers nil) (int_min application-judgement "{k: int | k <= i AND k <= j}" real_defs nil) (real_ge_is_total_order name-judgement "(total_order?[real])" real_props nil) (nnint_plus_nnint_is_nnint application-judgement "nonneg_int" integers nil) (int_minus_int_is_int application-judgement "int" integers nil) (real_gt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props nil) (T formal-type-decl nil circuits nil) (verts_in? const-decl "bool" walks nil) (finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences nil) (edge? const-decl "bool" digraphs nil) (walk? const-decl "bool" walks nil) (pre_circuit? const-decl "bool" circuits nil) (circuit? const-decl "bool" circuits nil) (rest const-decl "finseq" seq_extras "structures/") (O const-decl "finseq" finite_sequences nil) (posint_plus_nnint_is_posint application-judgement "posint" integers nil)) nil)) (circuit_equal_fisrt_TCC2 0 (circuit_equal_fisrt_TCC2-1 nil 3578740546 ("" (subtype-tcc) nil nil) ((T formal-type-decl nil circuits nil) (rest const-decl "finseq" seq_extras "structures/") (O const-decl "finseq" finite_sequences nil) (verts_in? const-decl "bool" walks nil) (finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences nil) (edge? const-decl "bool" digraphs nil) (walk? const-decl "bool" walks nil) (pre_circuit? const-decl "bool" circuits nil) (circuit? const-decl "bool" circuits nil) (nnint_plus_nnint_is_nnint application-judgement "nonneg_int" integers nil) (posint_plus_nnint_is_posint application-judgement "posint" integers nil)) nil)) (circuit_equal_fisrt_TCC3 0 (circuit_equal_fisrt_TCC3-1 nil 3578740546 ("" (subtype-tcc) nil nil) ((T formal-type-decl nil circuits nil) (rest const-decl "finseq" seq_extras "structures/") (O const-decl "finseq" finite_sequences nil) (verts_in? const-decl "bool" walks nil) (finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences nil) (edge? const-decl "bool" digraphs nil) (walk? const-decl "bool" walks nil) (pre_circuit? const-decl "bool" circuits nil) (circuit? const-decl "bool" circuits nil) (nnint_plus_nnint_is_nnint application-judgement "nonneg_int" integers nil) (posint_plus_nnint_is_posint application-judgement "posint" integers nil)) nil)) (circuit_equal_fisrt 0 (circuit_equal_fisrt-1 nil 3578740547 ("" (skeep) (("" (expand "circuit?") 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const-decl "bool" circuits nil)) shostak)) (eq_circuit_position_TCC1 0 (eq_circuit_position_TCC1-1 nil 3582720412 ("" (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) (edgetype type-eq-decl nil digraphs nil) (IMPLIES const-decl "[bool, bool -> bool]" booleans nil) (finite_set type-eq-decl nil finite_sets nil) (predigraph type-eq-decl nil digraphs nil) (AND const-decl "[bool, bool -> bool]" booleans nil) (digraph type-eq-decl nil digraphs 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_ge_is_total_order name-judgement "(total_order?[real])" real_props nil) (int_minus_int_is_int application-judgement "int" integers nil) (real_gt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props nil) (real_lt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props 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) (T formal-type-decl nil circuits nil) (verts_in? 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