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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 | EDml _ => true
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43 | EAbs _ => false
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44
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45 | EPrim _ => false
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46 | ERel _ => false
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47 | ENamed _ => false
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48 | ECon (_, _, eo) => (case eo of NONE => false | SOME e => impure e)
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49 | ENone _ => false
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50 | ESome (_, e) => impure e
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51 | EFfi _ => false
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52 | EFfiApp _ => false
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53 | EApp ((EFfi _, _), _) => false
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54 | EApp _ => true
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55
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56 | ERecord xes => List.exists (fn (_, e, _) => impure e) xes
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57 | EField (e, _) => impure e
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58
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59 | ECase (e, pes, _) => impure e orelse List.exists (fn (_, e) => impure e) pes
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60
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61 | EError (e, _) => impure e
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62
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63 | EStrcat (e1, e2) => impure e1 orelse impure e2
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64
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65 | ESeq (e1, e2) => impure e1 orelse impure e2
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66 | ELet (_, _, e1, e2) => impure e1 orelse impure e2
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67
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68 | EClosure (_, es) => List.exists impure es
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69
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70
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71 val liftExpInExp = Monoize.liftExpInExp
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72
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73 val subExpInExp' =
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74 U.Exp.mapB {typ = fn t => t,
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75 exp = fn (xn, rep) => fn e =>
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76 case e of
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77 ERel xn' =>
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78 (case Int.compare (xn', xn) of
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79 EQUAL => #1 rep
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80 | GREATER=> ERel (xn' - 1)
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81 | LESS => e)
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82 | _ => e,
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83 bind = fn ((xn, rep), U.Exp.RelE _) => (xn+1, liftExpInExp 0 rep)
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84 | (ctx, _) => ctx}
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85
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86 fun subExpInExp (n, e1) e2 =
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87 let
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88 val r = subExpInExp' (n, e1) e2
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89 in
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90 (*Print.prefaces "subExpInExp" [("e1", MonoPrint.p_exp MonoEnv.empty e1),
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91 ("e2", MonoPrint.p_exp MonoEnv.empty e2),
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92 ("r", MonoPrint.p_exp MonoEnv.empty r)];*)
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93 r
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94 end
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95
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96 fun typ c = c
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97
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98 val swapExpVars =
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99 U.Exp.mapB {typ = fn t => t,
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100 exp = fn lower => fn e =>
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101 case e of
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102 ERel xn =>
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103 if xn = lower then
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104 ERel (lower + 1)
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105 else if xn = lower + 1 then
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106 ERel lower
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107 else
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108 e
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109 | _ => e,
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110 bind = fn (lower, U.Exp.RelE _) => lower+1
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111 | (lower, _) => lower}
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112
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113 datatype result = Yes of E.env | No | Maybe
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114
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115 fun match (env, p : pat, e : exp) =
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116 case (#1 p, #1 e) of
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117 (PWild, _) => Yes env
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118 | (PVar (x, t), _) => Yes (E.pushERel env x t (SOME e))
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119
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120 | (PPrim (Prim.String s), EStrcat ((EPrim (Prim.String s'), _), _)) =>
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121 if String.isPrefix s' s then
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122 Maybe
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123 else
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124 No
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125
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126 | (PPrim p, EPrim p') =>
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127 if Prim.equal (p, p') then
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128 Yes env
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129 else
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130 No
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131
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132 | (PCon (_, PConVar n1, NONE), ECon (_, PConVar n2, NONE)) =>
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133 if n1 = n2 then
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134 Yes env
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135 else
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136 No
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137
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138 | (PCon (_, PConVar n1, SOME p), ECon (_, PConVar n2, SOME e)) =>
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139 if n1 = n2 then
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140 match (env, p, e)
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141 else
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142 No
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143
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144 | (PCon (_, PConFfi {mod = m1, con = con1, ...}, NONE), ECon (_, PConFfi {mod = m2, con = con2, ...}, NONE)) =>
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145 if m1 = m2 andalso con1 = con2 then
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146 Yes env
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147 else
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148 No
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149
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150 | (PCon (_, PConFfi {mod = m1, con = con1, ...}, SOME ep), ECon (_, PConFfi {mod = m2, con = con2, ...}, SOME e)) =>
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151 if m1 = m2 andalso con1 = con2 then
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152 match (env, p, e)
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153 else
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154 No
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155
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156 | (PRecord xps, ERecord xes) =>
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157 let
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158 fun consider (xps, env) =
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159 case xps of
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160 [] => Yes env
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161 | (x, p, _) :: rest =>
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162 case List.find (fn (x', _, _) => x' = x) xes of
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163 NONE => No
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164 | SOME (_, e, _) =>
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165 case match (env, p, e) of
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166 No => No
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167 | Maybe => Maybe
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168 | Yes env => consider (rest, env)
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169 in
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170 consider (xps, env)
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171 end
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172
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173 | _ => Maybe
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174
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175 datatype event =
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176 WritePage
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177 | ReadDb
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178 | WriteDb
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179 | UseRel of int
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180 | Unsure
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181
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182 fun p_event e =
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183 let
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184 open Print.PD
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185 in
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186 case e of
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187 WritePage => string "WritePage"
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188 | ReadDb => string "ReadDb"
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189 | WriteDb => string "WriteDb"
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190 | UseRel n => string ("UseRel" ^ Int.toString n)
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191 | Unsure => string "Unsure"
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192 end
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193
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194 fun patBinds (p, _) =
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195 case p of
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196 PWild => 0
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197 | PVar _ => 1
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198 | PPrim _ => 0
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199 | PCon (_, _, NONE) => 0
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200 | PCon (_, _, SOME p) => patBinds p
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201 | PRecord xpts => foldl (fn ((_, p, _), n) => n + patBinds p) 0 xpts
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202 | PNone _ => 0
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203 | PSome (_, p) => patBinds p
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204
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205 fun summarize d (e, _) =
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206 case e of
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207 EPrim _ => []
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208 | ERel n => if n >= d then [UseRel (n - d)] else []
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209 | ENamed _ => []
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210 | ECon (_, _, NONE) => []
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211 | ECon (_, _, SOME e) => summarize d e
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212 | ENone _ => []
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213 | ESome (_, e) => summarize d e
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214 | EFfi _ => []
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215 | EFfiApp (_, _, es) => List.concat (map (summarize d) es)
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216 | EApp ((EFfi _, _), e) => summarize d e
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217 | EApp _ => [Unsure]
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218 | EAbs _ => []
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219
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220 | ERecord xets => List.concat (map (summarize d o #2) xets)
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221 | EField (e, _) => summarize d e
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222
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223 | ECase (e, pes, _) =>
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224 let
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225 val lss = map (fn (p, e) => summarize (d + patBinds p) e) pes
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226 in
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227 case lss of
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228 [] => raise Fail "Empty pattern match"
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229 | ls :: lss =>
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230 if List.all (fn ls' => ls' = ls) lss then
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231 summarize d e @ ls
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232 else
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233 [Unsure]
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234 end
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235 | EStrcat (e1, e2) => summarize d e1 @ summarize d e2
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236
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237 | EError (e, _) => summarize d e @ [Unsure]
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238
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239 | EWrite e => summarize d e @ [WritePage]
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240
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241 | ESeq (e1, e2) => summarize d e1 @ summarize d e2
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242 | ELet (_, _, e1, e2) => summarize d e1 @ summarize (d + 1) e2
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243
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244 | EClosure (_, es) => List.concat (map (summarize d) es)
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245
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246 | EQuery {query, body, initial, ...} =>
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247 List.concat [summarize d query,
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248 summarize (d + 2) body,
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249 summarize d initial,
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250 [ReadDb]]
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251
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252 | EDml e => summarize d e @ [WriteDb]
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253
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254 fun exp env e =
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255 case e of
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256 ERel n =>
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257 (case E.lookupERel env n of
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258 (_, _, SOME e') => #1 e'
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259 | _ => e)
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260 | ENamed n =>
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261 (case E.lookupENamed env n of
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262 (_, _, SOME e', _) => #1 e'
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263 | _ => e)
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264
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265 | EApp ((EAbs (x, t, _, e1), loc), e2) =>
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266 ((*Print.prefaces "Considering" [("e1", MonoPrint.p_exp env e1),
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267 ("e2", MonoPrint.p_exp env e2)];*)
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268 if impure e2 then
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269 #1 (reduceExp env (ELet (x, t, e2, e1), loc))
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270 else
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271 #1 (reduceExp env (subExpInExp (0, e2) e1)))
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272
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273 | ECase (disc, pes, _) =>
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274 let
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275 fun search pes =
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276 case pes of
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277 [] => e
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278 | (p, body) :: pes =>
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279 case match (env, p, disc) of
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280 No => search pes
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281 | Maybe => e
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282 | Yes env => #1 (reduceExp env body)
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283 in
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284 search pes
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285 end
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286
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287 | EField ((ERecord xes, _), x) =>
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288 (case List.find (fn (x', _, _) => x' = x) xes of
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289 SOME (_, e, _) => #1 e
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290 | NONE => e)
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291
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292 | ELet (x1, t1, (ELet (x2, t2, e1, b1), loc), b2) =>
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293 let
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294 val e' = (ELet (x2, t2, e1,
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295 (ELet (x1, t1, b1,
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296 liftExpInExp 1 b2), loc)), loc)
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297 in
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298 (*Print.prefaces "ELet commute" [("e", MonoPrint.p_exp env (e, loc)),
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299 ("e'", MonoPrint.p_exp env e')];*)
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300 #1 (reduceExp env e')
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301 end
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302 | EApp ((ELet (x, t, e, b), loc), e') =>
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303 #1 (reduceExp env (ELet (x, t, e,
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304 (EApp (b, liftExpInExp 0 e'), loc)), loc))
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305
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306 | ELet (x, t, e, (EAbs (x', t' as (TRecord [], _), ran, e'), loc)) =>
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307 EAbs (x', t', ran, (ELet (x, t, liftExpInExp 0 e, swapExpVars 0 e'), loc))
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308
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309 | ELet (x, t, e', b) =>
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310 if impure e' then
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311 let
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312 val effs_e' = summarize 0 e'
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313 val effs_b = summarize 0 b
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314
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315 fun does eff = List.exists (fn eff' => eff' = eff) effs_e'
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316 val writesPage = does WritePage
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317 val readsDb = does ReadDb
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318 val writesDb = does WriteDb
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319
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320 fun verifyUnused eff =
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321 case eff of
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322 UseRel r => r <> 0
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323 | Unsure => false
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324 | _ => true
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325
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326 fun verifyCompatible effs =
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327 case effs of
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328 [] => false
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329 | eff :: effs =>
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330 case eff of
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331 Unsure => false
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332 | UseRel r =>
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333 if r = 0 then
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334 List.all verifyUnused effs
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335 else
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336 verifyCompatible effs
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337 | WritePage => not writesPage andalso verifyCompatible effs
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338 | ReadDb => not writesDb andalso verifyCompatible effs
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339 | WriteDb => not writesDb andalso not readsDb andalso verifyCompatible effs
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340 in
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341 (*Print.prefaces "verifyCompatible"
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342 [("e'", MonoPrint.p_exp env e'),
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343 ("b", MonoPrint.p_exp (E.pushERel env x t NONE) b),
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344 ("effs_e'", Print.p_list p_event effs_e'),
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345 ("effs_b", Print.p_list p_event effs_b)];*)
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346 if verifyCompatible effs_b then
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347 #1 (reduceExp env (subExpInExp (0, e') b))
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348 else
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349 e
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350 end
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adamc@252
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351 else
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adamc@252
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352 #1 (reduceExp env (subExpInExp (0, e') b))
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adamc@252
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353
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adamc@268
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354 | EStrcat ((EPrim (Prim.String s1), _), (EPrim (Prim.String s2), _)) =>
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adamc@268
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355 EPrim (Prim.String (s1 ^ s2))
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adamc@268
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356
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adamc@133
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357 | _ => e
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adamc@133
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358
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adamc@252
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359 and bind (env, b) =
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adamc@252
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360 case b of
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adamc@252
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361 U.Decl.Datatype (x, n, xncs) => E.pushDatatype env x n xncs
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adamc@252
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362 | U.Decl.RelE (x, t) => E.pushERel env x t NONE
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adamc@252
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363 | U.Decl.NamedE (x, n, t, eo, s) => E.pushENamed env x n t (Option.map (reduceExp env) eo) s
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adamc@252
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364
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adamc@133
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365 and reduceExp env = U.Exp.mapB {typ = typ, exp = exp, bind = bind} env
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adamc@133
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366
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adamc@133
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367 fun decl env d = d
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adamc@133
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368
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adamc@133
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369 val reduce = U.File.mapB {typ = typ, exp = exp, decl = decl, bind = bind} E.empty
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adamc@133
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370
|
adamc@133
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371 end
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