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1 (* Copyright (c) 2008, Adam Chlipala
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2 * All rights reserved.
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3 *
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4 * Redistribution and use in source and binary forms, with or without
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5 * modification, are permitted provided that the following conditions are met:
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6 *
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7 * - Redistributions of source code must retain the above copyright notice,
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8 * this list of conditions and the following disclaimer.
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9 * - Redistributions in binary form must reproduce the above copyright notice,
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10 * this list of conditions and the following disclaimer in the documentation
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11 * and/or other materials provided with the distribution.
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12 * - The names of contributors may not be used to endorse or promote products
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13 * derived from this software without specific prior written permission.
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14 *
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15 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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16 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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18 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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19 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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20 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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21 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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22 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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23 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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24 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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25 * POSSIBILITY OF SUCH DAMAGE.
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26 *)
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27
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28 structure ElabUtil :> ELAB_UTIL = struct
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29
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30 open Elab
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31
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32 structure S = Search
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33
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34 structure Kind = struct
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35
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36 fun mapfold f =
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37 let
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38 fun mfk k acc =
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39 S.bindP (mfk' k acc, f)
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40
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41 and mfk' (kAll as (k, loc)) =
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42 case k of
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43 KType => S.return2 kAll
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44
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45 | KArrow (k1, k2) =>
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46 S.bind2 (mfk k1,
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47 fn k1' =>
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48 S.map2 (mfk k2,
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49 fn k2' =>
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50 (KArrow (k1', k2'), loc)))
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51
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52 | KName => S.return2 kAll
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53
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54 | KRecord k =>
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55 S.map2 (mfk k,
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56 fn k' =>
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57 (KRecord k', loc))
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58
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59 | KError => S.return2 kAll
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60
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61 | KUnif (_, ref (SOME k)) => mfk' k
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62 | KUnif _ => S.return2 kAll
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63 in
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64 mfk
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65 end
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66
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67 fun exists f k =
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68 case mapfold (fn k => fn () =>
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69 if f k then
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70 S.Return ()
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71 else
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72 S.Continue (k, ())) k () of
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73 S.Return _ => true
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74 | S.Continue _ => false
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75
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76 end
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77
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78 structure Con = struct
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79
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80 datatype binder =
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81 Rel of string * Elab.kind
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82 | Named of string * Elab.kind
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83
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84 fun mapfoldB {kind = fk, con = fc, bind} =
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85 let
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86 val mfk = Kind.mapfold fk
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87
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88 fun mfc ctx c acc =
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89 S.bindP (mfc' ctx c acc, fc ctx)
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90
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91 and mfc' ctx (cAll as (c, loc)) =
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92 case c of
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93 TFun (c1, c2) =>
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94 S.bind2 (mfc ctx c1,
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95 fn c1' =>
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96 S.map2 (mfc ctx c2,
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97 fn c2' =>
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98 (TFun (c1', c2'), loc)))
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99 | TCFun (e, x, k, c) =>
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100 S.bind2 (mfk k,
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101 fn k' =>
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102 S.map2 (mfc (bind (ctx, Rel (x, k))) c,
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103 fn c' =>
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104 (TCFun (e, x, k', c'), loc)))
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105 | TRecord c =>
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106 S.map2 (mfc ctx c,
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107 fn c' =>
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108 (TRecord c', loc))
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109
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110 | CRel _ => S.return2 cAll
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111 | CNamed _ => S.return2 cAll
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112 | CApp (c1, c2) =>
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113 S.bind2 (mfc ctx c1,
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114 fn c1' =>
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115 S.map2 (mfc ctx c2,
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116 fn c2' =>
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117 (CApp (c1', c2'), loc)))
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118 | CAbs (x, k, c) =>
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119 S.bind2 (mfk k,
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120 fn k' =>
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121 S.map2 (mfc (bind (ctx, Rel (x, k))) c,
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122 fn c' =>
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123 (CAbs (x, k', c'), loc)))
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124
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125 | CName _ => S.return2 cAll
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126
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127 | CRecord (k, xcs) =>
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128 S.bind2 (mfk k,
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129 fn k' =>
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130 S.map2 (ListUtil.mapfold (fn (x, c) =>
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131 S.bind2 (mfc ctx x,
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132 fn x' =>
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133 S.map2 (mfc ctx c,
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134 fn c' =>
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135 (x', c'))))
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136 xcs,
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137 fn xcs' =>
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138 (CRecord (k', xcs'), loc)))
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139 | CConcat (c1, c2) =>
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140 S.bind2 (mfc ctx c1,
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141 fn c1' =>
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142 S.map2 (mfc ctx c2,
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143 fn c2' =>
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144 (CConcat (c1', c2'), loc)))
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145
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146 | CError => S.return2 cAll
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147 | CUnif (_, _, ref (SOME c)) => mfc' ctx c
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148 | CUnif _ => S.return2 cAll
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149 in
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150 mfc
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151 end
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152
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153 fun mapfold {kind = fk, con = fc} =
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154 mapfoldB {kind = fk,
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155 con = fn () => fc,
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156 bind = fn ((), _) => ()} ()
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157
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158 fun mapB {kind, con, bind} ctx c =
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159 case mapfoldB {kind = fn k => fn () => S.Continue (kind k, ()),
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160 con = fn ctx => fn c => fn () => S.Continue (con ctx c, ()),
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161 bind = bind} ctx c () of
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162 S.Continue (c, ()) => c
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163 | S.Return _ => raise Fail "Con.mapB: Impossible"
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164
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165 fun exists {kind, con} k =
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166 case mapfold {kind = fn k => fn () =>
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167 if kind k then
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168 S.Return ()
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169 else
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170 S.Continue (k, ()),
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171 con = fn c => fn () =>
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172 if con c then
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173 S.Return ()
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174 else
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175 S.Continue (c, ())} k () of
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176 S.Return _ => true
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177 | S.Continue _ => false
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178
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179 end
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180
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181 structure Exp = struct
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182
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183 datatype binder =
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184 RelC of string * Elab.kind
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185 | NamedC of string * Elab.kind
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186 | RelE of string * Elab.con
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187 | NamedE of string * Elab.con
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188
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189 fun mapfoldB {kind = fk, con = fc, exp = fe, bind} =
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190 let
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191 val mfk = Kind.mapfold fk
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192
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193 fun bind' (ctx, b) =
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194 let
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195 val b' = case b of
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196 Con.Rel x => RelC x
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197 | Con.Named x => NamedC x
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198 in
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199 bind (ctx, b')
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200 end
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201 val mfc = Con.mapfoldB {kind = fk, con = fc, bind = bind'}
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202
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203 fun mfe ctx e acc =
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204 S.bindP (mfe' ctx e acc, fe ctx)
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205
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206 and mfe' ctx (eAll as (e, loc)) =
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207 case e of
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208 ERel _ => S.return2 eAll
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209 | ENamed _ => S.return2 eAll
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210 | EApp (e1, e2) =>
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211 S.bind2 (mfe ctx e1,
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212 fn e1' =>
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213 S.map2 (mfe ctx e2,
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214 fn e2' =>
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215 (EApp (e1', e2'), loc)))
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216 | EAbs (x, t, e) =>
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217 S.bind2 (mfc ctx t,
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218 fn t' =>
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219 S.map2 (mfe (bind (ctx, RelE (x, t))) e,
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220 fn e' =>
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221 (EAbs (x, t', e'), loc)))
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222
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223 | ECApp (e, c) =>
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224 S.bind2 (mfe ctx e,
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225 fn e' =>
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226 S.map2 (mfc ctx c,
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227 fn c' =>
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228 (ECApp (e', c'), loc)))
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229 | ECAbs (expl, x, k, e) =>
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230 S.bind2 (mfk k,
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231 fn k' =>
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232 S.map2 (mfe (bind (ctx, RelC (x, k))) e,
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233 fn e' =>
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234 (ECAbs (expl, x, k', e'), loc)))
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235
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236 | ERecord xes =>
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237 S.map2 (ListUtil.mapfold (fn (x, e) =>
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238 S.bind2 (mfc ctx x,
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239 fn x' =>
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240 S.map2 (mfe ctx e,
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241 fn e' =>
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242 (x', e'))))
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243 xes,
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244 fn xes' =>
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245 (ERecord xes', loc))
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246 | EField (e, c, {field, rest}) =>
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247 S.bind2 (mfe ctx e,
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248 fn e' =>
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249 S.bind2 (mfc ctx c,
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250 fn c' =>
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251 S.bind2 (mfc ctx field,
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252 fn field' =>
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253 S.map2 (mfc ctx rest,
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254 fn rest' =>
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255 (EField (e', c', {field = field', rest = rest'}), loc)))))
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256
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257 | EError => S.return2 eAll
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258 in
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259 mfe
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260 end
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261
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262 fun mapfold {kind = fk, con = fc, exp = fe} =
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263 mapfoldB {kind = fk,
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264 con = fn () => fc,
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265 exp = fn () => fe,
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266 bind = fn ((), _) => ()} ()
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267
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268 fun exists {kind, con, exp} k =
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269 case mapfold {kind = fn k => fn () =>
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270 if kind k then
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271 S.Return ()
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272 else
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273 S.Continue (k, ()),
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274 con = fn c => fn () =>
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275 if con c then
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276 S.Return ()
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277 else
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278 S.Continue (c, ()),
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279 exp = fn e => fn () =>
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280 if exp e then
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281 S.Return ()
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282 else
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283 S.Continue (e, ())} k () of
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284 S.Return _ => true
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285 | S.Continue _ => false
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286
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287 end
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288
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289 end
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