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|
(***********************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
(* \VV/ *************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(***********************************************************************)
(* $Id$ *)
(* Syntax for the Calculus of Constructions. *)
Syntax constr
level 0:
ne_command_listcons [ << (NECOMMANDLIST $c1 ($LIST $cl)) >> ]
-> [ $c1 [1 0] (NECOMMANDLIST ($LIST $cl)) ]
| ne_command_listone [ << (NECOMMANDLIST $c1) >> ] -> [ $c1 ]
;
(* Things parsed in binder *)
(* ======================= *)
level 0:
idbindercons [ << (IDBINDER ($VAR $id) ($LIST $L)) >> ] ->
[ $id ","[0 0] (IDBINDER ($LIST $L))]
| idbinderone [ << (IDBINDER ($VAR $id)) >> ] -> [$id]
| idbindernil [ << (IDBINDER) >> ] -> [ ]
| binderscons [ << (BINDERS (BINDER $c ($LIST $id)) ($LIST $b)) >> ] ->
[ [<hv 0> [<hov 0> (IDBINDER ($LIST $id))] ":"
[0 1] $c:E] ";"[1 0]
(BINDERS ($LIST $b)) ]
| bindersone [ << (BINDERS (BINDER $c ($LIST $id))) >> ] ->
[ [<hov 0> (IDBINDER ($LIST $id))] ":" $c:E ]
| letbinder [ << (BINDERS (LETBINDER $c $id)) >> ] ->
[ [<hov 0> id ":=" [0 1] $c:E ] ]
;
(* Things parsed in command0 *)
level 0:
prop [ Prop ] -> ["Prop"]
| set [ Set ] -> ["Set"]
| type [ Type ] -> ["Type"]
| type_sp [ << (TYPE $id) >> ] -> ["Type" $id]
(* Note: Atomic constants (Nvar, CONST, MUTIND, MUTCONSTRUCT) are printed in
Printer to know if they must be qualified or not (and previously to
deal with the duality CCI/FW) *)
| evar [ ? ] -> ["?"]
| meta [ << (META ($NUM $n)) >> ] -> [ "?" $n ]
| implicit [ << (IMPLICIT) >> ] -> ["<Implicit>"]
| indice [ << (REL ($NUM $n)) >> ] -> ["<Unbound ref: " $n ">"]
| instantiation [ << (INSTANCE $a ($LIST $l)) >> ] ->
[ $a "{" (CONTEXT ($LIST $l)) "}"]
| instantiation_nil [ << (CONTEXT) >> ] -> [ ]
| instantiation_one [ << (CONTEXT $a) >> ] -> [ $a ]
| instantiation_many [ << (CONTEXT $a $b ($LIST $l)) >> ] ->
[ (CONTEXT $b ($LIST $l)) ";" $a ]
| qualid [ << (QUALID $id ($LIST $l)) >> ] -> [ $id (FIELDS ($LIST $l)) ]
| fieldsnil [ << (FIELDS) >> ] -> [ ]
| fieldscons [ << (FIELDS $id ($LIST $l)) >> ] ->
[ "." $id (FIELDS ($LIST $l)) ]
;
(* Things parsed in command1 *)
level 1:
soap [ << (SOAPP $lc1 ($LIST $cl)) >> ]
-> [ [<hov 0> "(" $lc1 ")@[" (NECOMMANDLIST ($LIST $cl)) "]"] ]
(* For debug *)
| abstpatnamed [ << [$id1]$c >> ] -> [ [<hov 0> "<<" $id1 ">>" [0 1] $c:E ] ]
| abstpatanon [ << [ <> ]$c >> ] -> [ [<hov 0> "<<_>>" [0 1] $c:E ] ]
;
(* Things parsed in command2 *)
(* Things parsed in command3 *)
(* Things parsed in command4 *)
(* Things parsed in command5 *)
(* Things parsed in command6 *)
(* Things parsed in command7 *)
(* Things parsed in command8 *)
level 8:
lambda [ << (LAMBDA $Dom [$x]$Body) >> ]
-> [(LAMBOX (BINDERS (BINDER $Dom $x)) $Body)]
| lambda_anon [ << (LAMBDA $Dom [<>]$Body) >> ]
-> [(LAMBOX (BINDERS (BINDER $Dom _)) $Body)]
| lambdalist [ << (LAMBDALIST $c [$x]$body) >> ]
-> [(LAMLBOX (BINDERS) $c (IDS $x) $body)]
| lambdalist_anon [ << (LAMBDALIST $c [<>]$body) >> ]
-> [(LAMLBOX (BINDERS) $c (IDS _) $body)]
| formated_lambda [ << (LAMBOX $pbi $t) >> ]
-> [ [<hov 0> "[" [<hv 0> $pbi] "]" [0 1] $t:E ] ]
| lambda_cons [<<(LAMBOX (BINDERS ($LIST $acc)) (LAMBDA $Dom [$x]$body))>>]
-> [(LAMBOX (BINDERS ($LIST $acc) (BINDER $Dom $x)) $body) ]
| lambda_cons_anon
[ << (LAMBOX (BINDERS ($LIST $acc)) (LAMBDA $Dom [<>]$body)) >> ]
-> [(LAMBOX (BINDERS ($LIST $acc) (BINDER $Dom _)) $body)]
| lambdal_start [ << (LAMBOX $pbi (LAMBDALIST $Dom $Body)) >> ]
-> [(LAMLBOX $pbi $Dom (IDS) $Body)]
| lambdal_end [<<(LAMLBOX (BINDERS ($LIST $acc)) $c (IDS ($LIST $ids)) $t)>>]
-> [(LAMBOX (BINDERS ($LIST $acc) (BINDER $c ($LIST $ids))) $t)]
| lambdal_cons_anon [ << (LAMLBOX $pbi $c (IDS ($LIST $ids)) [<>]$body) >> ]
-> [(LAMLBOX $pbi $c (IDS ($LIST $ids) _) $body)]
| lambdal_cons [ << (LAMLBOX $pbi $c (IDS ($LIST $ids)) [$id]$body) >> ]
-> [(LAMLBOX $pbi $c (IDS ($LIST $ids) $id) $body)]
| pi [ << (PROD $A [$x]$B) >> ] -> [ (PRODBOX (BINDERS) (PROD $A [$x]$B)) ]
| prodlist [ << (PRODLIST $c $b) >> ]
-> [(PRODBOX (BINDERS) (PRODLIST $c $b))]
| formated_prod [ << (PRODBOX $pbi $t) >> ]
-> [ [<hov 0> "(" [<hov 0> $pbi] ")" [0 1] $t:E ] ]
| prod_cons
[ << (PRODBOX (BINDERS ($LIST $acc)) (PROD $Dom [$x]$body)) >> ]
-> [(PRODBOX (BINDERS ($LIST $acc) (BINDER $Dom $x)) $body)]
| prodl_start_cons [ << (PRODBOX $pbi (PRODLIST $Dom $Body)) >> ]
-> [(PRODLBOX $pbi $Dom (IDS) $Body)]
| prodl_end [<<(PRODLBOX (BINDERS ($LIST $acc)) $c (IDS ($LIST $ids)) $t)>>]
-> [(PRODBOX (BINDERS ($LIST $acc) (BINDER $c ($LIST $ids))) $t)]
| prodl_cons_anon [ << (PRODLBOX $pbi $c (IDS ($LIST $ids)) [<>]$body) >> ]
-> [(PRODLBOX $pbi $c (IDS ($LIST $ids) _) $body)]
| prodl_cons [ << (PRODLBOX $pbi $c (IDS ($LIST $ids)) [$id]$body) >> ]
-> [(PRODLBOX $pbi $c (IDS ($LIST $ids) $id) $body)]
| arrow [ << (ARROW $A [<>]$B) >> ] ->
[ [<hv 0> $A:L " ->" [0 0] (ARROWBOX $B) ] ]
| arrow_stop [ << (ARROWBOX $c) >> ] -> [ $c:E ]
| arrow_again [ << (ARROWBOX (PROD $A [<>]$B)) >> ] ->
[ $A:L " ->" [0 0] (ARROWBOX $B) ]
(* These are synonymous *)
(* redundant
| let [ [$x = $M]$N ] -> [ [<hov 0> "[" $x "=" $M:E "]" [0 1] $N:E ] ]
*)
| letin [ << (LETIN $A [$x]$B) >> ] -> [ [ <hov 0> "[" $x ":=" [0 1] $A:E "]" [0 1] $B:E ] ]
| letincast [ << (LETIN (CAST $A $C) [$x]$B) >> ] -> [ [ <hov 0> "[" $x ":=" [0 1] $A:E ":" $C:E "]" [0 1] $B:E ] ]
;
(* Things parsed in command9 *)
level 9:
cast [ << (CAST $C $T) >> ] -> [ [<hv 0> $C:L [0 0] "::" $T:E] ]
;
(* Things parsed in command10 *)
level 10:
app_cons [ << (APPLIST $H ($LIST $T)) >> ]
-> [ [<hov 0> $H:E (APPTAIL ($LIST $T)):E ] ]
| app_imp [ << (APPLISTEXPL $H ($LIST $T)) >> ]
-> [ [<hov 0> "!" $H:E (APPTAIL ($LIST $T)):E ] ]
(*
| app_imp [ << (APPLISTEXPL $H ($LIST $T)) >> ]
-> [ (APPLISTIMPL (ACC $H) ($LIST $T)):E ]
| app_imp_arg [ << (APPLISTIMPL (ACC ($LIST $AC)) $a ($LIST $T)) >> ]
-> [ (APPLISTIMPL (ACC ($LIST $AC) $a) ($LIST $T)):E ]
| app_imp_imp_arg [ << (APPLISTIMPL $AC (EXPL $_ $_) ($LIST $T)) >> ]
-> [ (APPLISTIMPL $AC ($LIST $T)):E ]
| app_imp_last [ << (APPLISTIMPL (ACC ($LIST $A)) $T) >> ]
-> [ (APPLIST ($LIST $A) $T):E ]
*)
| apptailcons [ << (APPTAIL $H ($LIST $T)) >> ]
-> [ [1 1] $H:L (APPTAIL ($LIST $T)):E ]
| apptailnil [ << (APPTAIL) >> ] -> [ ]
(* Implicits *)
| apptailcons1 [ << (APPTAIL (EXPL $n $c1) ($LIST $T)) >> ]
-> [ [1 1] $n "!" $c1:E (APPTAIL ($LIST $T)):E ]
;
(*
level 8:
arg_implicit [ << (EXPL ($NUM $n) $c1) >> ] -> [ $n "!" $c1:L ]
(* | arg_implicit1 [(EXPL "EX" ($NUM $n) $c1)] -> [ $n "!" $c1:L ]
| fun_explicit [ << (EXPL $f) >> ] -> [ $f ]*)
;
*)
level 8:
recterm [ << (MATCH $P $c ($LIST $BL)) >> ] ->
[ [<hov 0> [<hov 0> (ELIMPRED $P)
[0 2] [<hov 0> "Match" [1 1] $c:E [1 0] "with" ]]
[1 3] [<hov 0> (MATCHBRANCHES ($LIST $BL)):E ] "end"] ]
| matchbranchescons [ << (MATCHBRANCHES $B ($LIST $T)) >> ]
-> [ [<hov 0> [<hov 0> $B:E ] FNL] (MATCHBRANCHES ($LIST $T)):E ]
| matchbranchesnil [ << (MATCHBRANCHES) >> ] -> [ ]
| caseterm [ << (CASE $P $c ($LIST $BL)) >> ] ->
[ [<hov 0> [<hov 0> (ELIMPRED $P)
[0 2][<hov 0> "Case" [1 1] $c:E [1 0] "of" ]]
[1 3][<hov 0> (MATCHBRANCHES ($LIST $BL)):E ] "end"] ]
| ifterm [ << (IF $P $c $b1 $b2) >> ] ->
[ (FORCEIF $P $c (EQN $b1 JUNK) (EQN $b2 JUNK)):E ]
| letterm [ << (LET $P $c (LAMBDALIST $_ $b)) >> ] ->
[ (LETSLAM $P $c $b) ]
| letslamend [ << (LETSLAM $P $c $b ($LIST $IDL))>> ] ->
[ (FORCELET $P $c (EQN $b (PATTCONSTRUCT JUNK ($LIST $IDL)))):E ]
| letslam [ << (LETSLAM $P $c [$ID]$b ($LIST $IDL))>> ] ->
[ (LETSLAM $P $c $b ($LIST $IDL) $ID) ]
| letslamanon [ << (LETSLAM $P $c [<>]$b ($LIST $IDL))>> ] ->
[ (LETSLAM $P $c $b ($LIST $IDL) _) ]
| elim_pred [ << (ELIMPRED $pred) >> ] -> [ "<" $pred:E ">" [0 2] ]
| elim_pred_xtra [ << (ELIMPRED "SYNTH") >> ] -> [ ]
;
level 0:
fix [ << (FIX $f $def ($LIST $lfs)) >> ] ->
[ [<hov 0> "Fix " $f
[0 2] "{" [<v 0> [<hov 0> $def]
(FIXDECLS ($LIST $lfs)) ] "}"] ]
| cofix [ << (COFIX $f $def ($LIST $lfs)) >> ] ->
[ [<hov 0> "CoFix " $f
[0 2] "{" [<v 0> [<hov 0> $def]
(FIXDECLS ($LIST $lfs)) ] "}"] ]
| nofixdefs [ << (FIXDECLS) >> ] -> [ ]
| fixdefs [ << (FIXDECLS $def1 ($LIST $defs)) >> ] ->
[ FNL [<hov 0> "with " $def1] (FIXDECLS ($LIST $defs)) ]
;
level 8:
onefixnumdecl [ << (NUMFDECL $f ($NUM $x) $A $t) >> ] ->
[ $f "/" $x " :"
[1 2] $A:E " :="
[1 2] $t:E ]
| onefixdecl [ << (FDECL $f (BINDERS ($LIST $l)) $A $t) >> ] ->
[ $f
[1 2] "[" [<hv 0> (BINDERS ($LIST $l))] "]"
[1 2] ": " $A:E " :="
[1 2] $t:E ]
| onecofixdecl [ << (CFDECL $f $A $t) >> ] ->
[ $f " : "
[1 2] $A:E " :="
[1 2] $t:E ]
;
level 8:
evalconstr [ << (EVAL $c $r) >> ] ->
[ [<hv 0> "Eval" [1 1] $r [1 0] "in" [1 1] $c:E ] ].
|
