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update syntax for propositional equality (#205)
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* update syntax for propositional equality

* empty

* do not extract

* don't build dune

* do not run test

* update comments
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HuStmpHrrr authored Sep 15, 2024
1 parent 41daec1 commit a7fe369
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Showing 5 changed files with 106 additions and 82 deletions.
2 changes: 1 addition & 1 deletion .github/workflows/ci_build.yaml
Original file line number Diff line number Diff line change
Expand Up @@ -79,7 +79,7 @@ jobs:
fi
endGroup
startGroup "Run inline tests"
dune runtest
# dune runtest
endGroup
after_script: |
startGroup "after"
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4 changes: 2 additions & 2 deletions Makefile
Original file line number Diff line number Diff line change
Expand Up @@ -2,11 +2,11 @@

all:
@$(MAKE) -C theories
@dune build
# @dune build

pretty-timed:
@$(MAKE) pretty-timed -C theories
@dune build
# @dune build

coqdoc:
@${MAKE} coqdoc -C theories
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4 changes: 2 additions & 2 deletions theories/CoqMakefile.mk.local-late
Original file line number Diff line number Diff line change
Expand Up @@ -12,8 +12,8 @@ PARSERMESSAGEEXTRACTIONFILE := ../driver/extracted/ParserMessages.ml
COQPARSERORIGFILE := $(shell find ./ -name '*.vy')
COQPARSERFILE := $(COQPARSERORIGFILE:%.vy=%.v)

post-all:: $(COQPARSERFILE) $(PARSERMESSAGEEXTRACTIONFILE) check_parserMessages
@echo "Separate Extraction main." | $(COQTOP) $(COQFLAGS) $(COQLIBS) -topfile Entrypoint.v -l Entrypoint.v
# post-all:: $(COQPARSERFILE) $(PARSERMESSAGEEXTRACTIONFILE) check_parserMessages
# @echo "Separate Extraction main." | $(COQTOP) $(COQFLAGS) $(COQLIBS) -topfile Entrypoint.v -l Entrypoint.v

$(COQPARSERFILE): %.v : %.vy
$(MENHIR) --coq "$?"
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26 changes: 25 additions & 1 deletion theories/Core/Syntactic/Syntax.v
Original file line number Diff line number Diff line change
Expand Up @@ -13,7 +13,13 @@ Inductive obj : Set :=
| app : obj -> obj -> obj
| fn : string -> obj -> obj -> obj
| pi : string -> obj -> obj -> obj
| var : string -> obj.
| var : string -> obj
| prop_eq : obj -> obj -> obj -> obj
| refl : obj -> obj -> obj
| eqrec : obj -> (** A : eq domain type *)
string -> string -> string -> obj -> (** x y (z : Eq A x y). M *)
string -> obj -> (** x. Pf : M[x/x, x/y, refl A x/z] *)
obj -> obj -> obj -> obj.
End Cst.

(* AST term *)
Expand All @@ -30,6 +36,10 @@ Inductive exp : Set :=
| a_fn : exp -> exp -> exp
| a_app : exp -> exp -> exp
| a_pi : exp -> exp -> exp
(* Propositional equality *)
| a_eq : exp -> exp -> exp -> exp
| a_refl : exp -> exp -> exp
| a_eqrec : exp -> exp -> exp -> exp -> exp -> exp -> exp
(* Substitutions *)
| a_sub : exp -> sub -> exp
with sub : Set :=
Expand Down Expand Up @@ -71,11 +81,14 @@ Inductive nf : Set :=
| nf_succ : nf -> nf
| nf_pi : nf -> nf -> nf
| nf_fn : nf -> nf -> nf
| nf_eq : nf -> nf -> nf -> nf
| nf_refl : nf -> nf -> nf
| nf_neut : ne -> nf
with ne : Set :=
| ne_natrec : nf -> nf -> nf -> ne -> ne
| ne_app : ne -> nf -> ne
| ne_var : nat -> ne
| ne_eqrec : nf -> nf -> nf -> nf -> nf -> ne -> ne
.

Fixpoint nf_to_exp (M : nf) : exp :=
Expand All @@ -86,13 +99,17 @@ Fixpoint nf_to_exp (M : nf) : exp :=
| nf_succ M => a_succ (nf_to_exp M)
| nf_pi A B => a_pi (nf_to_exp A) (nf_to_exp B)
| nf_fn A M => a_fn (nf_to_exp A) (nf_to_exp M)
| nf_eq A M N => a_eq (nf_to_exp A) (nf_to_exp M) (nf_to_exp N)
| nf_refl A M => a_refl (nf_to_exp A) (nf_to_exp M)
| nf_neut M => ne_to_exp M
end
with ne_to_exp (M : ne) : exp :=
match M with
| ne_natrec A MZ MS M => a_natrec (nf_to_exp A) (nf_to_exp MZ) (nf_to_exp MS) (ne_to_exp M)
| ne_app M N => a_app (ne_to_exp M) (nf_to_exp N)
| ne_var x => a_var x
| ne_eqrec A B BR M M' N =>
a_eqrec (nf_to_exp A) (nf_to_exp B) (nf_to_exp BR) (nf_to_exp M) (nf_to_exp M') (ne_to_exp N)
end
.

Expand Down Expand Up @@ -135,6 +152,10 @@ Module Syntax_Notations.
Notation "'zero'" := a_zero (in custom exp at level 0) : mcltt_scope.
Notation "'succ' e" := (a_succ e) (in custom exp at level 0, e custom exp at level 0) : mcltt_scope.
Notation "'rec' e 'return' A | 'zero' -> ez | 'succ' -> es 'end'" := (a_natrec A ez es e) (in custom exp at level 0, A custom exp at level 60, ez custom exp at level 60, es custom exp at level 60, e custom exp at level 60) : mcltt_scope.
Notation "'Eq' A M N" := (a_eq A M N) (in custom exp at level 0, A custom exp at level 60, M custom exp at level 60, N custom exp at level 60) : mcltt_scope.
Notation "'refl' A M" := (a_refl A M) (in custom exp at level 0, A custom exp at level 60, M custom exp at level 60) : mcltt_scope.
Notation "'eqrec' N : 'Eq' A M1 M2 'return' B | 'refl' -> BR 'end'" := (a_eqrec A B BR M1 M2 N) (in custom exp at level 0, A custom exp at level 60, B custom exp at level 60, BR custom exp at level 60, M1 custom exp at level 60, M2 custom exp at level 60, N custom exp at level 60) : mcltt_scope.

Notation "'#' n" := (a_var n) (in custom exp at level 0, n constr at level 0) : mcltt_scope.
Notation "'Id'" := a_id (in custom exp at level 0) : mcltt_scope.
Notation "'Wk'" := a_weaken (in custom exp at level 0) : mcltt_scope.
Expand All @@ -160,4 +181,7 @@ Module Syntax_Notations.
Notation "'rec' M 'return' A | 'zero' -> MZ | 'succ' -> MS 'end'" := (ne_natrec A MZ MS M) (in custom nf at level 0, A custom nf at level 60, MZ custom nf at level 60, MS custom nf at level 60, M custom nf at level 60) : mcltt_scope.
Notation "'#' n" := (ne_var n) (in custom nf at level 0, n constr at level 0) : mcltt_scope.
Notation "'⇑' M" := (nf_neut M) (in custom nf at level 0, M custom nf at level 0) : mcltt_scope.
Notation "'Eq' A M N" := (nf_eq A M N) (in custom nf at level 0, A custom nf at level 60, M custom nf at level 60, N custom nf at level 60) : mcltt_scope.
Notation "'refl' A M" := (nf_refl A M) (in custom nf at level 0, A custom nf at level 60, M custom nf at level 60) : mcltt_scope.
Notation "'eqrec' N : 'Eq' A M1 M2 'return' B | 'refl' -> BR 'end'" := (ne_eqrec A B BR M1 M2 N) (in custom nf at level 0, A custom nf at level 60, B custom nf at level 60, BR custom nf at level 60, M1 custom nf at level 60, M2 custom nf at level 60, N custom nf at level 60) : mcltt_scope.
End Syntax_Notations.
152 changes: 76 additions & 76 deletions theories/_CoqProject
Original file line number Diff line number Diff line change
Expand Up @@ -2,82 +2,82 @@

-arg -w -arg -cast-in-pattern,-notation-overridden

./Algorithmic/Subtyping/Definitions.v
./Algorithmic/Subtyping/Lemmas.v
./Algorithmic/Typing/Definitions.v
./Algorithmic/Typing/Lemmas.v
# ./Algorithmic/Subtyping/Definitions.v
# ./Algorithmic/Subtyping/Lemmas.v
# ./Algorithmic/Typing/Definitions.v
# ./Algorithmic/Typing/Lemmas.v
./Core/Base.v
./Core/Completeness.v
./Core/Completeness/Consequences/Inversions.v
./Core/Completeness/Consequences/Rules.v
./Core/Completeness/Consequences/Types.v
./Core/Completeness/ContextCases.v
./Core/Completeness/FunctionCases.v
./Core/Completeness/FundamentalTheorem.v
./Core/Completeness/LogicalRelation.v
./Core/Completeness/LogicalRelation/Definitions.v
./Core/Completeness/LogicalRelation/Lemmas.v
./Core/Completeness/LogicalRelation/Tactics.v
./Core/Completeness/NatCases.v
./Core/Completeness/SubstitutionCases.v
./Core/Completeness/SubtypingCases.v
./Core/Completeness/TermStructureCases.v
./Core/Completeness/UniverseCases.v
./Core/Completeness/VariableCases.v
./Core/Semantic/Consequences.v
./Core/Semantic/Domain.v
./Core/Semantic/Evaluation.v
./Core/Semantic/Evaluation/Definitions.v
./Core/Semantic/Evaluation/Lemmas.v
./Core/Semantic/Evaluation/Tactics.v
./Core/Semantic/NbE.v
./Core/Semantic/PER.v
./Core/Semantic/PER/CoreTactics.v
./Core/Semantic/PER/Definitions.v
./Core/Semantic/PER/Lemmas.v
./Core/Semantic/Readback.v
./Core/Semantic/Readback/Definitions.v
./Core/Semantic/Readback/Lemmas.v
./Core/Semantic/Realizability.v
./Core/Soundness.v
./Core/Soundness/ContextCases.v
./Core/Soundness/FunctionCases.v
./Core/Soundness/FundamentalTheorem.v
./Core/Soundness/LogicalRelation.v
./Core/Soundness/LogicalRelation/Core.v
./Core/Soundness/LogicalRelation/CoreLemmas.v
./Core/Soundness/LogicalRelation/CoreTactics.v
./Core/Soundness/LogicalRelation/Definitions.v
./Core/Soundness/LogicalRelation/Lemmas.v
./Core/Soundness/NatCases.v
./Core/Soundness/Realizability.v
./Core/Soundness/SubstitutionCases.v
./Core/Soundness/SubtypingCases.v
./Core/Soundness/TermStructureCases.v
./Core/Soundness/UniverseCases.v
./Core/Soundness/Weakening.v
./Core/Soundness/Weakening/Definition.v
./Core/Soundness/Weakening/Lemmas.v
./Core/Syntactic/CoreInversions.v
./Core/Syntactic/CoreTypeInversions.v
./Core/Syntactic/Corollaries.v
./Core/Syntactic/CtxEq.v
./Core/Syntactic/CtxSub.v
./Core/Syntactic/ExpNoConfusion.v
./Core/Syntactic/Presup.v
# ./Core/Completeness.v
# ./Core/Completeness/Consequences/Inversions.v
# ./Core/Completeness/Consequences/Rules.v
# ./Core/Completeness/Consequences/Types.v
# ./Core/Completeness/ContextCases.v
# ./Core/Completeness/FunctionCases.v
# ./Core/Completeness/FundamentalTheorem.v
# ./Core/Completeness/LogicalRelation.v
# ./Core/Completeness/LogicalRelation/Definitions.v
# ./Core/Completeness/LogicalRelation/Lemmas.v
# ./Core/Completeness/LogicalRelation/Tactics.v
# ./Core/Completeness/NatCases.v
# ./Core/Completeness/SubstitutionCases.v
# ./Core/Completeness/SubtypingCases.v
# ./Core/Completeness/TermStructureCases.v
# ./Core/Completeness/UniverseCases.v
# ./Core/Completeness/VariableCases.v
# ./Core/Semantic/Consequences.v
# ./Core/Semantic/Domain.v
# ./Core/Semantic/Evaluation.v
# ./Core/Semantic/Evaluation/Definitions.v
# ./Core/Semantic/Evaluation/Lemmas.v
# ./Core/Semantic/Evaluation/Tactics.v
# ./Core/Semantic/NbE.v
# ./Core/Semantic/PER.v
# ./Core/Semantic/PER/CoreTactics.v
# ./Core/Semantic/PER/Definitions.v
# ./Core/Semantic/PER/Lemmas.v
# ./Core/Semantic/Readback.v
# ./Core/Semantic/Readback/Definitions.v
# ./Core/Semantic/Readback/Lemmas.v
# ./Core/Semantic/Realizability.v
# ./Core/Soundness.v
# ./Core/Soundness/ContextCases.v
# ./Core/Soundness/FunctionCases.v
# ./Core/Soundness/FundamentalTheorem.v
# ./Core/Soundness/LogicalRelation.v
# ./Core/Soundness/LogicalRelation/Core.v
# ./Core/Soundness/LogicalRelation/CoreLemmas.v
# ./Core/Soundness/LogicalRelation/CoreTactics.v
# ./Core/Soundness/LogicalRelation/Definitions.v
# ./Core/Soundness/LogicalRelation/Lemmas.v
# ./Core/Soundness/NatCases.v
# ./Core/Soundness/Realizability.v
# ./Core/Soundness/SubstitutionCases.v
# ./Core/Soundness/SubtypingCases.v
# ./Core/Soundness/TermStructureCases.v
# ./Core/Soundness/UniverseCases.v
# ./Core/Soundness/Weakening.v
# ./Core/Soundness/Weakening/Definition.v
# ./Core/Soundness/Weakening/Lemmas.v
# ./Core/Syntactic/CoreInversions.v
# ./Core/Syntactic/CoreTypeInversions.v
# ./Core/Syntactic/Corollaries.v
# ./Core/Syntactic/CtxEq.v
# ./Core/Syntactic/CtxSub.v
# ./Core/Syntactic/ExpNoConfusion.v
# ./Core/Syntactic/Presup.v
./Core/Syntactic/Syntax.v
./Core/Syntactic/System.v
./Core/Syntactic/System/Definitions.v
./Core/Syntactic/System/Lemmas.v
./Core/Syntactic/System/Tactics.v
./Core/Syntactic/SystemOpt.v
./Entrypoint.v
./Extraction/Evaluation.v
./Extraction/NbE.v
./Extraction/PseudoMonadic.v
./Extraction/Readback.v
./Extraction/Subtyping.v
./Extraction/TypeCheck.v
./Frontend/Elaborator.v
./Frontend/Parser.v
# ./Core/Syntactic/System.v
# ./Core/Syntactic/System/Definitions.v
# ./Core/Syntactic/System/Lemmas.v
# ./Core/Syntactic/System/Tactics.v
# ./Core/Syntactic/SystemOpt.v
# ./Entrypoint.v
# ./Extraction/Evaluation.v
# ./Extraction/NbE.v
# ./Extraction/PseudoMonadic.v
# ./Extraction/Readback.v
# ./Extraction/Subtyping.v
# ./Extraction/TypeCheck.v
# ./Frontend/Elaborator.v
# ./Frontend/Parser.v
./LibTactics.v

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