aboutsummaryrefslogtreecommitdiff
path: root/theories/Init/SpecifSyntax.v
blob: 76ab4b3b9b5987f5fd4d8199dee8576d0e4725dc (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
(***********************************************************************)
(*  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       *)
(***********************************************************************)

(*i $Id$ i*)

Require LogicSyntax.
Require Specif.

(** Parsing of things in Specif.v *)

(* To accept {x:A|P}*B without parentheses *)
Grammar constr constr3 :=
  sig [ "{" lconstr($lc) ":" lconstr($c1) "|" lconstr($c2) "}" "*" constr3($c) ]
       -> [ (prod (sig $c1 [$lc : $c1]$c2) $c) ]

| sig2 [ "{" lconstr($lc) ":" lconstr($c1)
           "|" lconstr($c2) "&" lconstr($c3) "}" "*" constr3($c) ]
       -> [ (prod (sig2 $c1 [$lc : $c1]$c2 [$lc : $c1]$c3) $c) ]

| sigS [ "{" lconstr($lc) ":" lconstr($c1) "&" lconstr($c2) "}"
         "*" constr3($c)]
       -> [ (prod (sigS $c1 [$lc : $c1]$c2) $c) ]

| sigS2 [ "{" lconstr($lc) ":" lconstr($c1)
             "&" lconstr($c2) "&" lconstr($c3) "}" "*" constr3($c) ]
       -> [ (prod (sigS2 $c1 [$lc : $c1]$c2 [$lc : $c1]$c3) $c) ].

(* To factor with {A}+{B} *)
Grammar constr constr3 :=
  sig [ "{" lconstr($lc) ":" lconstr($c1) "|" lconstr($c2) "}" ]
       -> [ (sig $c1 [$lc : $c1]$c2) ]

| sig2 [ "{" lconstr($lc) ":" lconstr($c1)
           "|" lconstr($c2) "&" lconstr($c3) "}" ]
       -> [ (sig2 $c1 [$lc : $c1]$c2 [$lc : $c1]$c3) ]

| sigS [ "{" lconstr($lc) ":" lconstr($c1) "&" lconstr($c2) "}" ]
       -> [ (sigS $c1 [$lc : $c1]$c2) ]

| sigS2 [ "{" lconstr($lc) ":" lconstr($c1)
             "&" lconstr($c2) "&" lconstr($c3) "}" ]
       -> [ (sigS2 $c1 [$lc : $c1]$c2 [$lc : $c1]$c3) ].

(*
Grammar constr constr1: ast :=
  squash [ "{" lconstr($lc) "}" ] -> [(SQUASH $lc)].

Grammar constr lassoc_constr4 :=
  squash_sum
  [ lassoc_constr4($c1) "+" lassoc_constr4($c2) ] ->
      case [$c2] of
        (SQUASH $T2) ->
            case [$c1] of
              (SQUASH $T1) -> [ (sumbool $T1 $T2) ] (* {T1}+{T2} *)
            | $_           -> [ (sumor $c1 $T2) ]   (* c1+{T2} *)
            esac
      | $_           -> [ (sum $c1 $c2) ]           (* c1+c2 *)
      esac.
*)

Grammar constr constr3 :=
  sumbool [ "{" lconstr($lc) "}" "+" "{" lconstr($lc2) "}" ] -> 
    [ (sumbool $lc $lc2) ].

Grammar constr lassoc_constr4 :=
  sumor [ lassoc_constr4($c1) "+" "{" lconstr($c2) "}" ] ->
    [ (sumor $c1 $c2) ]

| sumsig [ lassoc_constr4($c) "+" "{" lconstr($lc) ":" lconstr($c1) "|" lconstr($c2) "}" ] ->
    [ (sum $c (sig $c1 [$lc : $c1]$c2)) ]

| sumsig2 [ lassoc_constr4($c) "+" "{" lconstr($lc) ":" lconstr($c1)
           "|" lconstr($c2) "&" lconstr($c3) "}" ]
       -> [ (sum $c (sig2 $c1 [$lc : $c1]$c2 [$lc : $c1]$c3)) ]

| sumsigS [ lassoc_constr4($c) "+" "{" lconstr($lc) ":" lconstr($c1) "&" lconstr($c2) "}" ]
       -> [ (sum $c (sigS $c1 [$lc : $c1]$c2)) ]

| sumsigS2 [ lassoc_constr4($c) "+" "{" lconstr($lc) ":" lconstr($c1)
             "&" lconstr($c2) "&" lconstr($c3) "}" ]
       -> [ (sum $c (sigS2 $c1 [$lc : $c1]$c2 [$lc : $c1]$c3)) ]
.


(** Pretty-printing of things in Specif.v *)

Syntax constr
(** Default pretty-printing rules *)
  level 10:
    sig_var
      [<<(ABSTR_B_NB $c1 $c2)>>] -> [ [<hov 0> "sig " $c1:L [1 1] $c2:L ] ]
  | sig2_var
      [<<(Sig2_ABSTR_B_NB $c1 $c2 $c3)>>]
       -> [ [<hov 0> "sig2 " $c1:L [1 1] $c2:L [1 1] $c3:L] ]
  | sigS_var
      [<<(SigS_ABSTR_B_NB $c1 $c2)>>] -> [ [<hov 0> "sigS " $c1:L [1 1] $c2:L ] ]
  | sigS2_var [<<(SigS2_ABSTR_B_NB $c1 $c2 $c3)>>]
       -> [ [<hov 0> "sigS2 " $c1:L [1 1] $c2:L [1 1] $c3:L] ]
  ;

  level 1:
(** Pretty-printing of [sig] *)
    sig  [ (sig $c1 $c2) ] -> [ (ABSTR_B_NB  $c1 $c2):E ]
  | sig_nb [ << (ABSTR_B_NB $c1 (LAMBDALIST $c1 [<>]$c2)) >> ]
      -> [ [<hov 0> "{_:" $c1:E " |" [1 3] $c2:E "}" ] ]
  | sigma_b [ << (ABSTR_B_NB $c1 (LAMBDALIST $c1 [$id]$c2)) >> ]
      -> [ [<hov 0> "{" $id ":" $c1:E " |" [1 3] $c2:E "}" ] ]

(** Pretty-printing of [sig2] *)
  | sig2 [ (sig2 $c1 $c2 $c3) ] -> [ (Sig2_ABSTR_B_NB  $c1 $c2 $c3):E ]
  | sig2_b_b
      [ << (Sig2_ABSTR_B_NB $c1 (LAMBDALIST $c1 [$id]$c2)
                            (LAMBDALIST $c1 [$id]$c3)) >> ]
       -> [ [<hov 0> "{"$id":"$c1:E"|" [1 3]$c2:E [1 3]"& "$c3:E "}" ] ]
  | sig2_nb_b
      [ << (Sig2_ABSTR_B_NB $c1 (LAMBDALIST $c1 [<>]$c2)
                            (LAMBDALIST  $c1 [$id]$c3)) >> ]
       -> [ [<hov 0> "{"$id":"$c1:E"|" [1 3]$c2:E [1 3]"& "$c3:E "}" ] ]
  | sig2_b_nb
      [ << (Sig2_ABSTR_B_NB $c1 (LAMBDALIST $c1 [$id]$c2)
                            (LAMBDALIST $c1 [<>]$c3)) >> ]
       -> [ [<hov 0> "{"$id":"$c1:E"|" [1 3]$c2:E [1 3]"& "$c3:E "}" ] ]
  | sig2_nb_nb
      [ << (Sig2_ABSTR_B_NB $c1 (LAMBDALIST $c1 [<>]$c2)
                            (LAMBDALIST $c1 [<>]$c3)) >> ]
       -> [ [<hov 0> "{_:"$c1:E "|" [1 3] $c2:E [1 3]"& " $c3:E "}" ] ]

(** Pretty-printing of [sigS] *)
  | sigS [ (sigS $c1 $c2) ] -> [(SigS_ABSTR_B_NB  $c1 $c2):E]
  | sigS_nb [ << (SigS_ABSTR_B_NB $c1 (LAMBDALIST $c1 [<>]$c2)) >> ]
       -> [ [<hov 0> "{_:" $c1:E [1 3]"& " $c2:E  "}" ] ]
  | sigS_b [ << (SigS_ABSTR_B_NB $c1 (LAMBDALIST $c1 [$id]$c2)) >> ]
       -> [ [<hov 0> "{" $id  ":" $c1:E [1 3] "& " $c2:E "}" ] ]

(** Pretty-printing of [sigS2] *)
  | sigS2 [ (sigS2 $c1 $c2 $c3) ] -> [(SigS2_ABSTR_B_NB  $c1 $c2 $c3):E]
  | sigS2_b_b
      [ << (SigS2_ABSTR_B_NB $c1 (LAMBDALIST $c1 [$id]$c2)
                             (LAMBDALIST $c1 [$id]$c3)) >> ]
       -> [ [<hov 0> "{"$id ":" $c1:E [1 3]"& "$c2:E [1 3]"& "$c3:E "}" ] ]
  | sigS2_nb_b
      [ << (SigS2_ABSTR_B_NB $c1 (LAMBDALIST $c1 [<>]$c2)
                             (LAMBDALIST  $c1 [$id]$c3)) >> ]
       -> [ [<hov 0> "{"$id ":" $c1:E [1 3]"& "$c2:E [1 3]"& "$c3:E "}" ] ]
  | sigS2_b_nb
      [ << (SigS2_ABSTR_B_NB $c1 (LAMBDALIST $c1 [$id]$c2)
                              (LAMBDALIST $c1 [<>]$c3)) >> ]
       -> [ [<hov 0> "{"$id ":" $c1:E [1 3]"& "$c2:E [1 3]"& "$c3:E "}" ] ]
  | sigS2_nb_nb
      [ << (SigS2_ABSTR_B_NB $c1 (LAMBDALIST $c1 [<>]$c2)
                             (LAMBDALIST $c1 [<>]$c3)) >> ]
       -> [ [<hov 0> "{_:"$c1:E [1 3]"& "$c2:E [1 3]"& "$c3:E "}" ] ]

(** Pretty-printing of [projS1] and [projS2] *)
  | projS1_imp [ (projS1 ? ? $a) ] -> ["(ProjS1 " $a:E ")"]  
  | projS2_imp [ (projS2 ? ? $a) ] -> ["(ProjS2 " $a:E ")"]
  ;

(** Pretty-printing of [sumbool] and [sumor] *)
  level 4:
    sumbool [ (sumbool $t1 $t2) ]
       -> [ [<hov 0> "{" $t1:E "}" [0 1] "+" "{" $t2:L "}"] ]
  | sumor [ (sumor $t1 $t2) ]
       -> [ [<hov 0> $t1:E [0 1]  "+" "{" $t2:L "}"] ]
  ;

(** Pretty-printing of [except] *)
  level 1:
    Except_imp [ (except $1 $t2) ] -> [ [<hov 0> "Except " $t2 ] ]

(** Pretty-printing of [error] and [value] *)
  | Error_imp [ (error $t1) ]     -> [ [<hov 0> "Error" ] ]
  | Value_imp [ (value $t1 $t2) ] -> [ [<hov 0> "(Value " $t2 ")" ] ].