(comm_integration
(quorum_correct_integration 0
(quorum_correct_integration-1 nil 3399298560
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(("" (skosimp*)
(("" (inst?)
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(("" (expand "rcvd")
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(use "quorum_correct_integration[N(i!1), N(1 + i!1), T]")
(("" (assert) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil)
((quorum_correct? const-decl "bool" exact_comm nil)
(quorum_correct? const-decl "bool" comm_integration 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)
(rcvd const-decl "[below(N(i + 1)) -> [below(N(i)) -> UT]]"
comm_integration nil)
(< const-decl "bool" reals nil)
(below type-eq-decl nil naturalnumbers nil)
(message type-decl nil message_adt nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(garbled? adt-recognizer-decl "[message -> boolean]" message_adt
nil)
(garbled adt-constructor-decl "(garbled?)" message_adt nil)
(msg_checker nonempty-type-eq-decl nil comm_integration_stage nil)
(valid_check_stage type-eq-decl nil comm_integration_stage nil)
(valid_check_function type-eq-decl nil comm_integration nil)
(sent_vec_stage type-eq-decl nil node_functions_stage nil)
(UT type-eq-decl nil comm_integration nil)
(fault_class type-decl nil integration_fault_model nil)
(node_status type-eq-decl nil integration_fault_model nil)
(* const-decl "[numfield, numfield -> numfield]" number_fields nil)
(tau_type type-eq-decl nil tau_declaration nil)
(T formal-nonempty-type-decl nil comm_integration nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(N formal-const-decl "[nat -> posnat]" comm_integration nil)
(posnat nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(nonneg_int nonempty-type-eq-decl nil integers nil)
(quorum_correct_integration formula-decl nil comm_integration_stage
nil)
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil))
nil))
(majority_correct_rw 0
(majority_correct_rw-1 nil 3399298055
("" (skosimp*)
(("" (expand "majority_correct?")
(("" (expand "quorum_correct?")
(("" (prop)
(("1" (skosimp*)
(("1" (inst?)
(("1" (assert)
(("1" (rewrite "majority_correct_rw")
(("1" (expand "mid" 1) (("1" (propax) nil nil)) nil))
nil))
nil))
nil))
nil)
("2" (skosimp*)
(("2" (inst?)
(("2" (assert)
(("2" (rewrite "majority_correct_rw")
(("2" (expand "mid" -1) (("2" (propax) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((majority_correct? const-decl "bool" comm_integration 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)
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil)
(majority_correct_rw formula-decl nil comm_integration_stage nil)
(< const-decl "bool" reals nil)
(below type-eq-decl nil naturalnumbers nil)
(message type-decl nil message_adt nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(garbled? adt-recognizer-decl "[message -> boolean]" message_adt
nil)
(garbled adt-constructor-decl "(garbled?)" message_adt nil)
(msg_checker nonempty-type-eq-decl nil comm_integration_stage nil)
(valid_check_stage type-eq-decl nil comm_integration_stage nil)
(valid_check_function type-eq-decl nil comm_integration nil)
(sent_vec_stage type-eq-decl nil node_functions_stage nil)
(UT type-eq-decl nil comm_integration nil)
(fault_class type-decl nil integration_fault_model nil)
(node_status type-eq-decl nil integration_fault_model nil)
(nonneg_int nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(posnat nonempty-type-eq-decl nil integers nil)
(N formal-const-decl "[nat -> posnat]" comm_integration nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(T formal-nonempty-type-decl nil comm_integration nil)
(mid const-decl "tau_type" exact_comm nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(quorum_correct? const-decl "bool" comm_integration nil))
shostak))
(all_symmetric_integration 0
(all_symmetric_integration-1 nil 3399299095
("" (skosimp*)
(("" (expand "exists_all_symmetric?")
(("" (skosimp*)
(("" (inst?)
(("" (assert)
(("" (use "quorum_correct_integration")
(("" (assert)
((""
(use "all_symmetric_integration[N(i!1), N(1 + i!1), T]")
(("" (assert)
(("" (expand "rcvd" +) (("" (propax) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((exists_all_symmetric? const-decl "bool" exact_comm nil)
(exists_all_symmetric? const-decl "bool" comm_integration 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)
(quorum_correct_integration formula-decl nil comm_integration nil)
(tau_type type-eq-decl nil tau_declaration nil)
(* const-decl "[numfield, numfield -> numfield]" number_fields nil)
(node_status type-eq-decl nil integration_fault_model nil)
(fault_class type-decl nil integration_fault_model nil)
(UT type-eq-decl nil comm_integration nil)
(valid_check_function type-eq-decl nil comm_integration nil)
(valid_check_stage type-eq-decl nil comm_integration_stage nil)
(msg_checker nonempty-type-eq-decl nil comm_integration_stage nil)
(garbled adt-constructor-decl "(garbled?)" message_adt nil)
(garbled? adt-recognizer-decl "[message -> boolean]" message_adt
nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(message type-decl nil message_adt nil)
(T formal-nonempty-type-decl nil comm_integration nil)
(below type-eq-decl nil naturalnumbers nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(N formal-const-decl "[nat -> posnat]" comm_integration nil)
(posnat nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(nonneg_int nonempty-type-eq-decl nil integers nil)
(< const-decl "bool" reals nil)
(all_symmetric_integration formula-decl nil comm_integration_stage
nil)
(sent_vec_stage type-eq-decl nil node_functions_stage nil)
(rcvd const-decl "[below(N(i + 1)) -> [below(N(i)) -> UT]]"
comm_integration nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil))
nil)))
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