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update syntax for propositional equality #205

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merged 7 commits into from
Sep 15, 2024
Merged

update syntax for propositional equality #205

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df53228
update syntax for propositional equality
HuStmpHrrr Sep 15, 2024
67a71d1
empty
HuStmpHrrr Sep 15, 2024
f1bb3a3
do not extract
HuStmpHrrr Sep 15, 2024
4851857
HuStmpHrrr Sep 15, 2024
fb00bcb
don't build dune
HuStmpHrrr Sep 15, 2024
4cfc9d8
do not run test
HuStmpHrrr Sep 15, 2024
b8d4ba3
update comments
HuStmpHrrr Sep 15, 2024
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2 changes: 1 addition & 1 deletion .github/workflows/ci_build.yaml
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Expand Up @@ -77,7 +77,7 @@ jobs:
fi
endGroup
startGroup "Run inline tests"
dune runtest
# dune runtest
endGroup
after_script: |
startGroup "after"
Expand Down
4 changes: 2 additions & 2 deletions Makefile
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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
Expand Down
4 changes: 2 additions & 2 deletions theories/CoqMakefile.mk.local-late
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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
$(MENHIR) --coq "$?"
Expand Down
26 changes: 25 additions & 1 deletion theories/Core/Syntactic/Syntax.v
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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
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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