type by_continuation =
BYC_done
- | BYC_weproved of N.term * string option * N.term option
- | BYC_letsuchthat of string * N.term * string * N.term
+ | BYC_weproved of N.term * string option
+ | BYC_letsuchthat of string * N.term * N.term * string
| BYC_wehaveand of string * N.term * string * N.term
let mk_parser statement lstatus =
| SYMBOL "#"; SYMBOL "_" -> G.NTactic(loc,[ G.NIntro (loc,"_")])
| SYMBOL "*" -> G.NTactic(loc,[ G.NCase1 (loc,"_")])
| SYMBOL "*"; "as"; n=IDENT -> G.NTactic(loc,[ G.NCase1 (loc,n)])
+ | IDENT "assume" ; id = IDENT; SYMBOL ":"; t = tactic_term -> G.NTactic (loc,[G.Assume (loc,id,t)])
+ | IDENT "suppose" ; t = tactic_term ; LPAREN ; id = IDENT ; RPAREN -> G.NTactic (loc,[G.Suppose (loc,t,id)])
+ | "let"; name = IDENT ; SYMBOL <:unicode<def>> ; t = tactic_term ->
+ G.NTactic(loc,[G.NLetIn (loc,(None,[],Some N.UserInput),t,name)])
+ | just =
+ [ IDENT "using"; t=tactic_term -> `Term t
+ | params = auto_params ->
+ let just,params = params in
+ `Auto
+ (match just with
+ | None -> (None,params)
+ | Some (`Univ univ) -> (Some univ,params)
+ (* `Trace behaves exaclty like None for the moment being *)
+ | Some (`Trace) -> (None,params)
+ )
+ ];
+ cont=by_continuation -> G.NTactic (loc,[
+ (match cont with
+ BYC_done -> G.Bydone (loc, just)
+ | BYC_weproved (ty,id) ->
+ G.By_just_we_proved(loc, just, ty, id)
+ | BYC_letsuchthat (id1,t1,t2,id2) ->
+ G.ExistsElim (loc, just, id1, t1, t2, id2)
+ | BYC_wehaveand (id1,t1,id2,t2) ->
+ G.AndElim (loc, just, t1, id1, t2, id2))
+ ])
+ | IDENT "we" ; IDENT "need" ; "to" ; IDENT "prove" ; t = tactic_term ; id = OPT [ LPAREN ; id = IDENT ; RPAREN -> id ] ->
+ G.NTactic (loc,[G.We_need_to_prove (loc, t, id)])
+ | IDENT "that" ; IDENT "is" ; IDENT "equivalent" ; "to" ; t = tactic_term -> G.NTactic(loc,[G.BetaRewritingStep (loc,t)])
+ | IDENT "the" ; IDENT "thesis" ; IDENT "becomes" ; t1=tactic_term -> G.NTactic (loc,[G.Thesisbecomes(loc,t1)])
+ | IDENT "we" ; IDENT "proceed" ; IDENT "by" ; IDENT "cases" ; "on" ; t=tactic_term ; "to" ; IDENT "prove" ; t1=tactic_term ->
+ G.NTactic (loc,[G.We_proceed_by_cases_on (loc, t, t1)])
+ | IDENT "we" ; IDENT "proceed" ; IDENT "by" ; IDENT "induction" ; "on" ; t=tactic_term ; "to" ; IDENT "prove" ; t1=tactic_term ->
+ G.NTactic (loc,[G.We_proceed_by_induction_on (loc, t, t1)])
+ | IDENT "by" ; IDENT "induction" ; IDENT "hypothesis" ; IDENT "we" ; IDENT "know" ; t=tactic_term ; LPAREN ; id = IDENT ; RPAREN ->
+ G.NTactic (loc,[G.Byinduction(loc, t, id)])
+ | IDENT "case" ; id = IDENT ; params=LIST0[LPAREN ; i=IDENT ;
+ SYMBOL":" ; t=tactic_term ; RPAREN -> i,t] ->
+ G.NTactic (loc,[G.Case(loc,id,params)])
+ | IDENT "print_stack" -> G.NTactic (loc,[G.PrintStack loc])
+ (* DO NOT FACTORIZE with the two following, camlp5 sucks*)
+(*
+ | IDENT "conclude";
+ termine = tactic_term;
+ SYMBOL "=" ;
+ t1=tactic_term ;
+ t2 =
+ [ IDENT "using"; t=tactic_term -> `Term t
+ | IDENT "using"; IDENT "once"; term=tactic_term -> `SolveWith term
+ | IDENT "proof" -> `Proof
+ | params = auto_params -> `Auto
+ (
+ let just,params = params in
+ match just with
+ | None -> (None,params)
+ | Some (`Univ univ) -> (Some univ,params)
+ (* `Trace behaves exaclty like None for the moment being *)
+ | Some (`Trace) -> (None,params)
+ )
+ ];
+ cont = rewriting_step_continuation ->
+ G.NTactic (loc,[G.RewritingStep(loc, Some (None,termine), t1, t2, cont)])
+ | IDENT "obtain" ; name = IDENT;
+ termine = tactic_term;
+ SYMBOL "=" ;
+ t1=tactic_term ;
+ t2 =
+ [ IDENT "using"; t=tactic_term -> `Term t
+ | IDENT "using"; IDENT "once"; term=tactic_term -> `SolveWith term
+ | IDENT "proof" -> `Proof
+ | params = auto_params -> `Auto
+ (
+ let just,params = params in
+ match just with
+ | None -> (None,params)
+ | Some (`Univ univ) -> (Some univ,params)
+ (* `Trace behaves exaclty like None for the moment being *)
+ | Some (`Trace) -> (None,params)
+ )
+ ];
+ cont = rewriting_step_continuation ->
+ G.NTactic(loc,[G.RewritingStep(loc, Some (Some name,termine), t1, t2, cont)])
+*)
+ | IDENT "obtain" ; name = IDENT;
+ termine = tactic_term ->
+ G.NTactic(loc,[G.Obtain(loc, name, termine)])
+ | IDENT "conclude" ; termine = tactic_term ->
+ G.NTactic(loc,[G.Conclude(loc, termine)])
+ | SYMBOL "=" ;
+ t1=tactic_term ;
+ t2 =
+ [ IDENT "using"; t=tactic_term -> `Term t
+ | IDENT "using"; IDENT "once"; term=tactic_term -> `SolveWith term
+ | IDENT "proof" -> `Proof
+ | params = auto_params -> `Auto
+ (
+ let just,params = params in
+ match just with
+ | None -> (None,params)
+ | Some (`Univ univ) -> (Some univ,params)
+ (* `Trace behaves exaclty like None for the moment being *)
+ | Some (`Trace) -> (None,params)
+ )
+ ];
+ cont = rewriting_step_continuation ->
+ G.NTactic(loc,[G.RewritingStep(loc, t1, t2, cont)])
]
];
auto_fixed_param: [
]
];
-(* MATITA 1.0
by_continuation: [
- [ WEPROVED; ty = tactic_term ; LPAREN ; id = IDENT ; RPAREN ; t1 = OPT [IDENT "that" ; IDENT "is" ; IDENT "equivalent" ; "to" ; t2 = tactic_term -> t2] -> BYC_weproved (ty,Some id,t1)
- | WEPROVED; ty = tactic_term ; t1 = OPT [IDENT "that" ; IDENT "is" ; IDENT "equivalent" ; "to" ; t2 = tactic_term -> t2] ;
- "done" -> BYC_weproved (ty,None,t1)
+ [ WEPROVED; ty = tactic_term ; id = OPT [ LPAREN ; id = IDENT ; RPAREN -> id] -> BYC_weproved (ty,id)
| "done" -> BYC_done
| "let" ; id1 = IDENT ; SYMBOL ":" ; t1 = tactic_term ;
IDENT "such" ; IDENT "that" ; t2=tactic_term ; LPAREN ;
- id2 = IDENT ; RPAREN -> BYC_letsuchthat (id1,t1,id2,t2)
+ id2 = IDENT ; RPAREN -> BYC_letsuchthat (id1,t1,t2,id2)
| WEHAVE; t1=tactic_term ; LPAREN ; id1=IDENT ; RPAREN ;"and" ; t2=tactic_term ; LPAREN ; id2=IDENT ; RPAREN ->
BYC_wehaveand (id1,t1,id2,t2)
]
];
-*)
-(* MATITA 1.0
+
rewriting_step_continuation : [
[ "done" -> true
| -> false
]
];
-*)
+
(* MATITA 1.0
atomic_tactical:
[ "sequence" LEFTA