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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 (* Simplify a Mono program algebraically *)
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29
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30 structure MonoReduce :> MONO_REDUCE = struct
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31
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32 open Mono
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33
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34 structure E = MonoEnv
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35 structure U = MonoUtil
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36
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37
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38 fun impure (e, _) =
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39 case e of
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40 EWrite _ => true
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41 | EQuery _ => true
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42 | EAbs _ => false
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43
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44 | EPrim _ => false
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45 | ERel _ => false
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46 | ENamed _ => false
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47 | ECon (_, _, eo) => (case eo of NONE => false | SOME e => impure e)
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48 | EFfi _ => false
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49 | EFfiApp _ => false
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50 | EApp ((EFfi _, _), _) => false
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51 | EApp _ => true
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52
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53 | ERecord xes => List.exists (fn (_, e, _) => impure e) xes
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54 | EField (e, _) => impure e
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55
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56 | ECase (e, pes, _) => impure e orelse List.exists (fn (_, e) => impure e) pes
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57
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58 | EStrcat (e1, e2) => impure e1 orelse impure e2
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59
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60 | ESeq (e1, e2) => impure e1 orelse impure e2
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61 | ELet (_, _, e1, e2) => impure e1 orelse impure e2
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62
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63 | EClosure (_, es) => List.exists impure es
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64
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65
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66 val liftExpInExp = Monoize.liftExpInExp
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67
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68 val subExpInExp' =
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69 U.Exp.mapB {typ = fn t => t,
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70 exp = fn (xn, rep) => fn e =>
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71 case e of
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72 ERel xn' =>
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73 (case Int.compare (xn', xn) of
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74 EQUAL => #1 rep
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75 | GREATER=> ERel (xn' - 1)
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76 | LESS => e)
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77 | _ => e,
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78 bind = fn ((xn, rep), U.Exp.RelE _) => (xn+1, liftExpInExp 0 rep)
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79 | (ctx, _) => ctx}
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80
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81 fun subExpInExp (n, e1) e2 =
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82 let
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83 val r = subExpInExp' (n, e1) e2
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84 in
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85 (*Print.prefaces "subExpInExp" [("e1", MonoPrint.p_exp MonoEnv.empty e1),
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86 ("e2", MonoPrint.p_exp MonoEnv.empty e2),
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87 ("r", MonoPrint.p_exp MonoEnv.empty r)];*)
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88 r
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89 end
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90
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91 fun typ c = c
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92
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93 datatype result = Yes of E.env | No | Maybe
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94
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95 fun match (env, p : pat, e : exp) =
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96 case (#1 p, #1 e) of
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97 (PWild, _) => Yes env
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98 | (PVar (x, t), _) => Yes (E.pushERel env x t (SOME e))
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99
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100 | (PPrim p, EPrim p') =>
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101 if Prim.equal (p, p') then
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102 Yes env
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103 else
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104 No
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105
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106 | (PCon (_, PConVar n1, NONE), ECon (_, PConVar n2, NONE)) =>
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107 if n1 = n2 then
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108 Yes env
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109 else
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110 No
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111
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112 | (PCon (_, PConVar n1, SOME p), ECon (_, PConVar n2, SOME e)) =>
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113 if n1 = n2 then
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114 match (env, p, e)
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115 else
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116 No
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117
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118 | (PCon (_, PConFfi {mod = m1, con = con1, ...}, NONE), ECon (_, PConFfi {mod = m2, con = con2, ...}, NONE)) =>
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119 if m1 = m2 andalso con1 = con2 then
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120 Yes env
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121 else
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122 No
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123
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124 | (PCon (_, PConFfi {mod = m1, con = con1, ...}, SOME ep), ECon (_, PConFfi {mod = m2, con = con2, ...}, SOME e)) =>
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125 if m1 = m2 andalso con1 = con2 then
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126 match (env, p, e)
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127 else
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128 No
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129
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130 | (PRecord xps, ERecord xes) =>
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131 let
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132 fun consider (xps, env) =
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133 case xps of
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134 [] => Yes env
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135 | (x, p, _) :: rest =>
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136 case List.find (fn (x', _, _) => x' = x) xes of
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137 NONE => No
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138 | SOME (_, e, _) =>
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139 case match (env, p, e) of
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140 No => No
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141 | Maybe => Maybe
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142 | Yes env => consider (rest, env)
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143 in
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144 consider (xps, env)
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145 end
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146
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147 | _ => Maybe
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148
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149 fun exp env e =
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150 case e of
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151 ERel n =>
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152 (case E.lookupERel env n of
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153 (_, _, SOME e') => #1 e'
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154 | _ => e)
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155 | ENamed n =>
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156 (case E.lookupENamed env n of
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157 (_, _, SOME e', _) => #1 e'
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158 | _ => e)
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159
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160 | EApp ((EAbs (x, t, _, e1), loc), e2) =>
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161 ((*Print.prefaces "Considering" [("e1", MonoPrint.p_exp env e1),
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162 ("e2", MonoPrint.p_exp env e2)];*)
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163 if impure e2 then
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164 #1 (reduceExp env (ELet (x, t, e2, e1), loc))
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165 else
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166 #1 (reduceExp env (subExpInExp (0, e2) e1)))
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167
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168 | ECase (disc, pes, _) =>
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169 let
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170 fun search pes =
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171 case pes of
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172 [] => e
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173 | (p, body) :: pes =>
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174 case match (env, p, disc) of
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175 No => search pes
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176 | Maybe => e
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177 | Yes env => #1 (reduceExp env body)
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178 in
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179 search pes
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180 end
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181
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182 | EField ((ERecord xes, _), x) =>
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183 (case List.find (fn (x', _, _) => x' = x) xes of
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184 SOME (_, e, _) => #1 e
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185 | NONE => e)
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186
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187 | ELet (x1, t1, (ELet (x2, t2, e1, b1), loc), b2) =>
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188 let
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189 val e' = (ELet (x2, t2, e1,
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190 (ELet (x1, t1, b1,
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191 liftExpInExp 1 b2), loc)), loc)
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192 in
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193 (*Print.prefaces "ELet commute" [("e", MonoPrint.p_exp env (e, loc)),
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194 ("e'", MonoPrint.p_exp env e')];*)
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195 #1 (reduceExp env e')
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196 end
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197 | EApp ((ELet (x, t, e, b), loc), e') =>
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198 #1 (reduceExp env (ELet (x, t, e,
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199 (EApp (b, liftExpInExp 0 e'), loc)), loc))
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200 | ELet (x, t, e', b) =>
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201 if impure e' then
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202 e
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203 else
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204 #1 (reduceExp env (subExpInExp (0, e') b))
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205
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206 | EStrcat ((EPrim (Prim.String s1), _), (EPrim (Prim.String s2), _)) =>
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207 EPrim (Prim.String (s1 ^ s2))
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208
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209 | _ => e
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210
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211 and bind (env, b) =
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212 case b of
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213 U.Decl.Datatype (x, n, xncs) => E.pushDatatype env x n xncs
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214 | U.Decl.RelE (x, t) => E.pushERel env x t NONE
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215 | U.Decl.NamedE (x, n, t, eo, s) => E.pushENamed env x n t (Option.map (reduceExp env) eo) s
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216
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217 and reduceExp env = U.Exp.mapB {typ = typ, exp = exp, bind = bind} env
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218
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219 fun decl env d = d
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220
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221 val reduce = U.File.mapB {typ = typ, exp = exp, decl = decl, bind = bind} E.empty
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222
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223 end
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