adamc@82
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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 Disjoint :> DISJOINT = struct
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29
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30 open Elab
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31 open ElabOps
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32
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33 datatype piece_fst =
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34 NameC of string
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35 | NameR of int
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36 | NameN of int
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37 | NameM of int * string list * string
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38 | RowR of int
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39 | RowN of int
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40 | RowM of int * string list * string
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41
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42 type piece = piece_fst * int list
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43
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44 fun p2s p =
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45 case p of
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46 NameC s => "NameC(" ^ s ^ ")"
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47 | NameR n => "NameR(" ^ Int.toString n ^ ")"
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48 | NameN n => "NameN(" ^ Int.toString n ^ ")"
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49 | NameM (n, _, s) => "NameR(" ^ Int.toString n ^ ", " ^ s ^ ")"
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50 | RowR n => "RowR(" ^ Int.toString n ^ ")"
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51 | RowN n => "RowN(" ^ Int.toString n ^ ")"
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52 | RowM (n, _, s) => "RowR(" ^ Int.toString n ^ ", " ^ s ^ ")"
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53
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54 fun pp p = print (p2s p ^ "\n")
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55
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56 structure PK = struct
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57
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58 type ord_key = piece
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59
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60 open Order
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61
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62 fun compare' (p1, p2) =
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63 case (p1, p2) of
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64 (NameC s1, NameC s2) => String.compare (s1, s2)
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65 | (NameR n1, NameR n2) => Int.compare (n1, n2)
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66 | (NameN n1, NameN n2) => Int.compare (n1, n2)
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67 | (NameM (n1, ss1, s1), NameM (n2, ss2, s2)) =>
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68 join (Int.compare (n1, n2),
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69 fn () => join (String.compare (s1, s2), fn () =>
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70 joinL String.compare (ss1, ss2)))
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71 | (RowR n1, RowR n2) => Int.compare (n1, n2)
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72 | (RowN n1, RowN n2) => Int.compare (n1, n2)
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73 | (RowM (n1, ss1, s1), RowM (n2, ss2, s2)) =>
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74 join (Int.compare (n1, n2),
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75 fn () => join (String.compare (s1, s2), fn () =>
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76 joinL String.compare (ss1, ss2)))
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77
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78 | (NameC _, _) => LESS
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79 | (_, NameC _) => GREATER
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80
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81 | (NameR _, _) => LESS
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82 | (_, NameR _) => GREATER
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83
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84 | (NameN _, _) => LESS
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85 | (_, NameN _) => GREATER
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86
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87 | (NameM _, _) => LESS
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88 | (_, NameM _) => GREATER
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89
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90 | (RowR _, _) => LESS
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91 | (_, RowR _) => GREATER
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92
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93 | (RowN _, _) => LESS
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94 | (_, RowN _) => GREATER
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95
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96 fun compare ((p1, ns1), (p2, ns2)) =
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97 join (compare' (p1, p2),
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98 fn () => joinL Int.compare (ns1, ns2))
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99
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100 end
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101
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102 structure PS = BinarySetFn(PK)
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103 structure PM = BinaryMapFn(PK)
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104
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105 type env = PS.set PM.map
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106
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107 structure E = ElabEnv
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108
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109 type goal = ErrorMsg.span * E.env * env * Elab.con * Elab.con
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110
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111 val empty = PM.empty
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112
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113 fun nameToRow (c, loc) =
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114 (CRecord ((KUnit, loc), [((c, loc), (CUnit, loc))]), loc)
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115
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116 fun pieceToRow' (p, loc) =
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117 case p of
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118 NameC s => nameToRow (CName s, loc)
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119 | NameR n => nameToRow (CRel n, loc)
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120 | NameN n => nameToRow (CNamed n, loc)
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121 | NameM (n, xs, x) => nameToRow (CModProj (n, xs, x), loc)
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122 | RowR n => (CRel n, loc)
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123 | RowN n => (CNamed n, loc)
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124 | RowM (n, xs, x) => (CModProj (n, xs, x), loc)
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125
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126 fun pieceToRow ((p, ns), loc) =
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127 foldl (fn (n, c) => (CProj (c, n), loc)) (pieceToRow' (p, loc)) ns
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128
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129 datatype piece' =
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130 Piece of piece
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131 | Unknown of con
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132
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133 fun pieceEnter' p =
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134 case p of
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135 NameR n => NameR (n + 1)
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136 | RowR n => RowR (n + 1)
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137 | _ => p
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138
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139 fun pieceEnter (p, n) = (pieceEnter' p, n)
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140
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141 fun enter denv =
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142 PM.foldli (fn (p, pset, denv') =>
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143 PM.insert (denv', pieceEnter p, PS.map pieceEnter pset))
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144 PM.empty denv
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145
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146 val lowercase = CharVector.map Char.toLower
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147
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148 fun prove1 denv (p1, p2) =
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149 case (p1, p2) of
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150 ((NameC s1, _), (NameC s2, _)) => lowercase s1 <> lowercase s2
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151 | _ =>
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152 case PM.find (denv, p1) of
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153 NONE => false
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154 | SOME pset => PS.member (pset, p2)
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155
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156 fun decomposeRow (env, denv) c =
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157 let
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158 val loc = #2 c
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159
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160 fun decomposeProj c =
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161 let
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162 val (c, gs) = hnormCon (env, denv) c
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163 in
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164 case #1 c of
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165 CProj (c, n) =>
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166 let
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167 val (c', ns, gs') = decomposeProj c
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168 in
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169 (c', ns @ [n], gs @ gs')
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170 end
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171 | _ => (c, [], gs)
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172 end
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173
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174 fun decomposeName (c, (acc, gs)) =
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175 let
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176 val (cAll as (c, _), ns, gs') = decomposeProj c
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177
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178 val acc = case c of
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179 CName s => Piece (NameC s, ns) :: acc
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180 | CRel n => Piece (NameR n, ns) :: acc
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181 | CNamed n => Piece (NameN n, ns) :: acc
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182 | CModProj (m1, ms, x) => Piece (NameM (m1, ms, x), ns) :: acc
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183 | _ => Unknown cAll :: acc
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184 in
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185 (acc, gs' @ gs)
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186 end
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187
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188 fun decomposeRow' (c, (acc, gs)) =
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189 let
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190 fun default () =
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191 let
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192 val (cAll as (c, _), ns, gs') = decomposeProj c
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193 val gs = gs' @ gs
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194 in
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195 case c of
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196 CRecord (_, xcs) => foldl (fn ((x, _), acc_gs) => decomposeName (x, acc_gs)) (acc, gs) xcs
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197 | CConcat (c1, c2) => decomposeRow' (c1, decomposeRow' (c2, (acc, gs)))
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198 | CRel n => (Piece (RowR n, ns) :: acc, gs)
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199 | CNamed n => (Piece (RowN n, ns) :: acc, gs)
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200 | CModProj (m1, ms, x) => (Piece (RowM (m1, ms, x), ns) :: acc, gs)
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201 | _ => (Unknown cAll :: acc, gs)
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202 end
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203 in
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204 (*Print.prefaces "decomposeRow'" [("c", ElabPrint.p_con env c),
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205 ("c'", ElabPrint.p_con env (#1 (hnormCon (env, denv) c)))];*)
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206 case #1 (#1 (hnormCon (env, denv) c)) of
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207 CApp (
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208 (CApp (
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209 (CApp ((CFold (dom, ran), _), f), _),
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210 i), _),
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211 r) =>
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212 let
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213 val (env', nm) = E.pushCNamed env "nm" (KName, loc) NONE
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214 val (env', v) = E.pushCNamed env' "v" dom NONE
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215 val (env', st) = E.pushCNamed env' "st" ran NONE
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216
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217 val (denv', gs') = assert env' denv ((CRecord (dom, [((CNamed nm, loc),
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218 (CUnit, loc))]), loc),
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219 (CNamed st, loc))
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220
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221 val c' = (CApp (f, (CNamed nm, loc)), loc)
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222 val c' = (CApp (c', (CNamed v, loc)), loc)
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223 val c' = (CApp (c', (CNamed st, loc)), loc)
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224 val (ps, gs'') = decomposeRow (env', denv') c'
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225
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226 fun covered p =
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227 case p of
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228 Unknown _ => false
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229 | Piece p =>
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230 case p of
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231 (NameN n, []) => n = nm
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232 | (RowN n, []) => n = st
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233 | _ => false
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234
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235 val ps = List.filter (not o covered) ps
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236 in
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237 decomposeRow' (i, decomposeRow' (r, (ps @ acc, gs'' @ gs' @ gs)))
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238 end
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239 | _ => default ()
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240 end
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241 in
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242 decomposeRow' (c, ([], []))
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243 end
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244
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245 and assert env denv (c1, c2) =
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246 let
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247 val (ps1, gs1) = decomposeRow (env, denv) c1
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248 val (ps2, gs2) = decomposeRow (env, denv) c2
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249
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250 val unUnknown = List.mapPartial (fn Unknown _ => NONE | Piece p => SOME p)
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251 val ps1 = unUnknown ps1
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252 val ps2 = unUnknown ps2
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253
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254 (*val () = print "APieces1:\n"
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255 val () = app pp ps1
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256 val () = print "APieces2:\n"
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257 val () = app pp ps2*)
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258
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259 fun assertPiece ps (p, denv) =
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260 let
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261 val pset = Option.getOpt (PM.find (denv, p), PS.empty)
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262 val ps = case p of
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263 (NameC _, _) => List.filter (fn (NameC _, _) => false | _ => true) ps
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264 | _ => ps
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265 val pset = PS.addList (pset, ps)
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266 in
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267 PM.insert (denv, p, pset)
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268 end
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269
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270 val denv = foldl (assertPiece ps2) denv ps1
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271 in
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272 (foldl (assertPiece ps1) denv ps2, gs1 @ gs2)
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273 end
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274
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275 and prove env denv (c1, c2, loc) =
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276 let
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277 val (ps1, gs1) = decomposeRow (env, denv) c1
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278 val (ps2, gs2) = decomposeRow (env, denv) c2
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279
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280 val hasUnknown = List.exists (fn Unknown _ => true | _ => false)
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281 val unUnknown = List.mapPartial (fn Unknown _ => NONE | Piece p => SOME p)
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282 in
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283 if hasUnknown ps1 orelse hasUnknown ps2 then
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284 [(loc, env, denv, c1, c2)]
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285 else
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286 let
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287 val ps1 = unUnknown ps1
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288 val ps2 = unUnknown ps2
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289
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290 in
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291 (*print "Pieces1:\n";
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292 app pp ps1;
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293 print "Pieces2:\n";
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294 app pp ps2;*)
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295
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296 foldl (fn (p1, rem) =>
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297 foldl (fn (p2, rem) =>
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298 if prove1 denv (p1, p2) then
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299 rem
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300 else
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301 (loc, env, denv, pieceToRow (p1, loc), pieceToRow (p2, loc)) :: rem) rem ps2)
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302 (gs1 @ gs2) ps1
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303 end
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304 end
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305
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306 and hnormCon (env, denv) c =
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307 let
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308 val cAll as (c, loc) = ElabOps.hnormCon env c
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309
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310 fun doDisj (c1, c2, c) =
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311 let
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312 val (c, gs) = hnormCon (env, denv) c
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313 in
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314 (c, prove env denv (c1, c2, loc) @ gs)
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315 end
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316 in
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317 case c of
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318 CDisjoint (Instantiate, c1, c2, c) => doDisj (c1, c2, c)
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319 | _ => (cAll, [])
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320 end
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321
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322 end
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