adamc@81
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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 ElabOps :> ELAB_OPS = struct
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29
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30 open Elab
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31
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32 structure E = ElabEnv
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33 structure U = ElabUtil
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34
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35 fun liftKindInKind' by =
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36 U.Kind.mapB {kind = fn bound => fn k =>
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37 case k of
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38 KRel xn =>
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39 if xn < bound then
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40 k
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41 else
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42 KRel (xn + by)
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43 | _ => k,
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44 bind = fn (bound, _) => bound + 1}
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45
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46 fun subKindInKind' rep =
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47 U.Kind.mapB {kind = fn (by, xn) => fn k =>
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48 case k of
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49 KRel xn' =>
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50 (case Int.compare (xn', xn) of
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51 EQUAL => #1 (liftKindInKind' by 0 rep)
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52 | GREATER => KRel (xn' - 1)
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53 | LESS => k)
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54 | _ => k,
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55 bind = fn ((by, xn), _) => (by+1, xn+1)}
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56
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57 val liftKindInKind = liftKindInKind' 1
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58
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59 fun subKindInKind (xn, rep) = subKindInKind' rep (0, xn)
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60
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61 fun liftKindInCon by =
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62 U.Con.mapB {kind = fn bound => fn k =>
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63 case k of
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64 KRel xn =>
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65 if xn < bound then
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66 k
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67 else
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68 KRel (xn + by)
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69 | _ => k,
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70 con = fn _ => fn c => c,
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71 bind = fn (bound, U.Con.RelK _) => bound + 1
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72 | (bound, _) => bound}
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73
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74 fun subKindInCon' rep =
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75 U.Con.mapB {kind = fn (by, xn) => fn k =>
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76 case k of
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77 KRel xn' =>
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78 (case Int.compare (xn', xn) of
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79 EQUAL => #1 (liftKindInKind' by 0 rep)
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80 | GREATER => KRel (xn' - 1)
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81 | LESS => k)
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82 | _ => k,
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83 con = fn _ => fn c => c,
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84 bind = fn ((by, xn), U.Con.RelK _) => (by+1, xn+1)
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85 | (st, _) => st}
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86
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87 val liftKindInCon = liftKindInCon 1
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88
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89 fun subKindInCon (xn, rep) = subKindInCon' rep (0, xn)
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90
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91 fun liftConInCon by =
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92 U.Con.mapB {kind = fn _ => fn k => k,
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93 con = fn bound => fn c =>
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94 case c of
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95 CRel xn =>
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96 if xn < bound then
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97 c
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98 else
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99 CRel (xn + by)
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100 (*| CUnif _ => raise SynUnif*)
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101 | _ => c,
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102 bind = fn (bound, U.Con.RelC _) => bound + 1
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103 | (bound, _) => bound}
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104
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105 fun subConInCon' rep =
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106 U.Con.mapB {kind = fn _ => fn k => k,
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107 con = fn (by, xn) => fn c =>
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108 case c of
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109 CRel xn' =>
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110 (case Int.compare (xn', xn) of
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111 EQUAL => #1 (liftConInCon by 0 rep)
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112 | GREATER => CRel (xn' - 1)
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113 | LESS => c)
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114 (*| CUnif _ => raise SynUnif*)
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115 | _ => c,
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116 bind = fn ((by, xn), U.Con.RelC _) => (by+1, xn+1)
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117 | (ctx, _) => ctx}
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118
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119 val liftConInCon = liftConInCon 1
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120
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121 fun subConInCon (xn, rep) = subConInCon' rep (0, xn)
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122
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123 fun subStrInSgn (m1, m2) =
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124 U.Sgn.map {kind = fn k => k,
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125 con = fn c as CModProj (m1', ms, x) =>
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126 if m1 = m1' then
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127 CModProj (m2, ms, x)
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128 else
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129 c
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130 | c => c,
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131 sgn_item = fn sgi => sgi,
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132 sgn = fn sgn => sgn}
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133
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134 val occurs =
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135 U.Con.existsB {kind = fn _ => false,
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136 con = fn (n, c) =>
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137 case c of
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138 CRel n' => n' = n
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139 | _ => false,
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140 bind = fn (n, b) =>
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141 case b of
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142 U.Con.RelC _ => n + 1
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143 | _ => n}
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144 0
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145
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146
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147 fun hnormCon env (cAll as (c, loc)) =
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148 case c of
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149 CUnif (_, _, _, ref (SOME c)) => hnormCon env c
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150
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151 | CNamed xn =>
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152 (case E.lookupCNamed env xn of
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153 (_, _, SOME c') => hnormCon env c'
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154 | _ => cAll)
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155
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156 | CModProj (n, ms, x) =>
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157 let
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158 val (_, sgn) = E.lookupStrNamed env n
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159 val (str, sgn) = foldl (fn (m, (str, sgn)) =>
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160 case E.projectStr env {sgn = sgn, str = str, field = m} of
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161 NONE => raise Fail "hnormCon: Unknown substructure"
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162 | SOME sgn => ((StrProj (str, m), loc), sgn))
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163 ((StrVar n, loc), sgn) ms
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164 in
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165 case E.projectCon env {sgn = sgn, str = str, field = x} of
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166 NONE => raise Fail "kindof: Unknown con in structure"
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167 | SOME (_, NONE) => cAll
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168 | SOME (_, SOME c) => hnormCon env c
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169 end
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170
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171 (* Eta reduction *)
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172 | CAbs (x, k, b) =>
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173 (case #1 (hnormCon (E.pushCRel env x k) b) of
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174 CApp (f, (CRel 0, _)) =>
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175 if occurs f then
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176 cAll
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177 else
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178 hnormCon env (subConInCon (0, (CUnit, loc)) f)
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179 | _ => cAll)
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180
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181 | CApp (c1, c2) =>
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182 (case #1 (hnormCon env c1) of
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183 CAbs (x, k, cb) =>
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184 let
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185 val sc = (hnormCon env (subConInCon (0, c2) cb))
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186 handle SynUnif => cAll
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187 (*val env' = E.pushCRel env x k*)
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188 in
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189 (*Print.eprefaces "Subst" [("x", Print.PD.string x),
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190 ("cb", ElabPrint.p_con env' cb),
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191 ("c2", ElabPrint.p_con env c2),
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192 ("sc", ElabPrint.p_con env sc)];*)
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193 sc
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194 end
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195 | c1' as CApp (c', f) =>
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196 let
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197 fun default () = (CApp ((c1', loc), hnormCon env c2), loc)
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198 in
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199 case #1 (hnormCon env c') of
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200 CMap (ks as (k1, k2)) =>
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201 (case #1 (hnormCon env c2) of
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202 CRecord (_, []) => (CRecord (k2, []), loc)
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203 | CRecord (_, (x, c) :: rest) =>
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204 hnormCon env
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205 (CConcat ((CRecord (k2, [(x, (CApp (f, c), loc))]), loc),
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206 (CApp (c1, (CRecord (k2, rest), loc)), loc)), loc)
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207 | CConcat ((CRecord (k, (x, c) :: rest), _), rest') =>
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208 let
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209 val rest'' = (CConcat ((CRecord (k, rest), loc), rest'), loc)
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210 in
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211 hnormCon env
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212 (CConcat ((CRecord (k2, [(x, (CApp (f, c), loc))]), loc),
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213 (CApp (c1, rest''), loc)), loc)
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214 end
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215 | _ =>
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216 let
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217 fun unconstraint c =
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218 case hnormCon env c of
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219 (TDisjoint (_, _, c), _) => unconstraint c
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220 | c => c
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221
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222 fun tryDistributivity () =
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223 case hnormCon env c2 of
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224 (CConcat (c1, c2'), _) =>
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225 let
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226 val c = (CMap ks, loc)
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227 val c = (CApp (c, f), loc)
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228
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229 val c1 = (CApp (c, c1), loc)
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230 val c2 = (CApp (c, c2'), loc)
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231 val c = (CConcat (c1, c2), loc)
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232 in
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233 hnormCon env c
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234 end
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235 | _ => default ()
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236
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237 fun tryFusion () =
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238 case #1 (hnormCon env c2) of
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239 CApp (f', r') =>
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240 (case #1 (hnormCon env f') of
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241 CApp (f', inner_f) =>
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242 (case #1 (hnormCon env f') of
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243 CMap (dom, _) =>
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244 let
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245 val inner_f = liftConInCon 0 inner_f
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246 val f = liftConInCon 0 f
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247
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248 val f' = (CApp (inner_f, (CRel 0, loc)), loc)
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249 val f' = (CApp (f, f'), loc)
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250 val f' = (CAbs ("v", dom, f'), loc)
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251
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252 val c = (CMap (dom, k2), loc)
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253 val c = (CApp (c, f'), loc)
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254 val c = (CApp (c, r'), loc)
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255 in
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256 hnormCon env c
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257 end
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258 | _ => tryDistributivity ())
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259 | _ => tryDistributivity ())
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260 | _ => tryDistributivity ()
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261
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262 fun tryIdentity () =
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263 let
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264 fun cunif () =
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265 let
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266 val r = ref NONE
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267 in
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268 (r, (CUnif (loc, (KType, loc), "_", r), loc))
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269 end
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270
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271 val (vR, v) = cunif ()
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272
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273 val c = (CApp (f, v), loc)
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274 in
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275 case unconstraint c of
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276 (CUnif (_, _, _, vR'), _) =>
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277 if vR' = vR then
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278 hnormCon env c2
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279 else
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280 tryFusion ()
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281 | _ => tryFusion ()
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282 end
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283 in
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284 tryIdentity ()
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285 end)
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286 | _ => default ()
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287 end
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288 | c1' => (CApp ((c1', loc), hnormCon env c2), loc))
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289
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290 | CKApp (c1, k) =>
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291 (case hnormCon env c1 of
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292 (CKAbs (_, body), _) => hnormCon env (subKindInCon (0, k) body)
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293 | _ => cAll)
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294
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295 | CConcat (c1, c2) =>
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296 (case (hnormCon env c1, hnormCon env c2) of
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297 ((CRecord (k, xcs1), loc), (CRecord (_, xcs2), _)) =>
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298 (CRecord (k, xcs1 @ xcs2), loc)
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299 | ((CRecord (_, []), _), c2') => c2'
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300 | ((CConcat (c11, c12), loc), c2') =>
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301 hnormCon env (CConcat (c11, (CConcat (c12, c2'), loc)), loc)
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302 | (c1', (CRecord (_, []), _)) => c1'
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303 | (c1', c2') => (CConcat (c1', c2'), loc))
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304
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305 | CProj (c, n) =>
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306 (case hnormCon env c of
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307 (CTuple cs, _) => hnormCon env (List.nth (cs, n - 1))
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308 | _ => cAll)
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309
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310 | _ => cAll
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311
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312 end
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