adamc@1200
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1 (* Copyright (c) 2010, 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 Iflow :> IFLOW = struct
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29
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30 open Mono
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31
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32 structure SS = BinarySetFn(struct
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33 type ord_key = string
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34 val compare = String.compare
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35 end)
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36
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37 val writers = ["htmlifyInt_w",
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38 "htmlifyFloat_w",
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39 "htmlifyString_w",
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40 "htmlifyBool_w",
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41 "htmlifyTime_w",
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42 "attrifyInt_w",
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43 "attrifyFloat_w",
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44 "attrifyString_w",
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45 "attrifyChar_w",
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46 "urlifyInt_w",
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47 "urlifyFloat_w",
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48 "urlifyString_w",
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49 "urlifyBool_w"]
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50
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51 val writers = SS.addList (SS.empty, writers)
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52
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53 type lvar = int
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54
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55 datatype exp =
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56 Const of Prim.t
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57 | Var of int
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58 | Lvar of lvar
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59 | Func of string * exp list
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60 | Recd of (string * exp) list
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61 | Proj of exp * string
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62 | Finish
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63
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64 datatype reln =
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65 Sql of string
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66 | Eq
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67
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68 datatype prop =
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69 True
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70 | False
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71 | Unknown
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72 | And of prop * prop
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73 | Or of prop * prop
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74 | Reln of reln * exp list
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75 | Select of int * lvar * lvar * prop * exp
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76
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77 local
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78 val count = ref 0
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79 in
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80 fun newLvar () =
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81 let
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82 val n = !count
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83 in
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84 count := n + 1;
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85 n
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86 end
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87 end
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88
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89 fun subExp (v, lv) =
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90 let
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91 fun sub e =
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92 case e of
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93 Const _ => e
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94 | Var v' => if v' = v then Lvar lv else e
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95 | Lvar _ => e
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96 | Func (f, es) => Func (f, map sub es)
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97 | Recd xes => Recd (map (fn (x, e) => (x, sub e)) xes)
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98 | Proj (e, s) => Proj (sub e, s)
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99 | Finish => Finish
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100 in
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101 sub
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102 end
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103
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104 fun subProp (v, lv) =
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105 let
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106 fun sub p =
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107 case p of
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108 True => p
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109 | False => p
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110 | Unknown => p
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111 | And (p1, p2) => And (sub p1, sub p2)
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112 | Or (p1, p2) => Or (sub p1, sub p2)
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113 | Reln (r, es) => Reln (r, map (subExp (v, lv)) es)
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114 | Select (v1, lv1, lv2, p, e) => Select (v1, lv1, lv2, sub p, subExp (v, lv) e)
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115 in
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116 sub
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117 end
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118
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119 fun eq' (e1, e2) =
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120 case (e1, e2) of
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121 (Const p1, Const p2) => Prim.equal (p1, p2)
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122 | (Var n1, Var n2) => n1 = n2
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123 | (Lvar n1, Lvar n2) => n1 = n2
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124 | (Func (f1, es1), Func (f2, es2)) => f1 = f2 andalso ListPair.allEq eq' (es1, es2)
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125 | (Recd xes1, Recd xes2) => ListPair.allEq (fn ((x1, e1), (x2, e2)) => x1 = x2 andalso eq' (e1, e2)) (xes1, xes2)
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126 | (Proj (e1, s1), Proj (e2, s2)) => eq' (e1, e2) andalso s1 = s2
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127 | (Finish, Finish) => true
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128 | _ => false
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129
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130 fun isKnown e =
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131 case e of
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132 Const _ => true
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133 | Func (_, es) => List.all isKnown es
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134 | Recd xes => List.all (isKnown o #2) xes
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135 | Proj (e, _) => isKnown e
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136 | _ => false
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137
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138 fun isFinish e =
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139 case e of
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140 Finish => true
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141 | _ => false
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142
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143 fun simplify e =
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144 case e of
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145 Const _ => e
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146 | Var _ => e
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147 | Lvar _ => e
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148 | Func (f, es) =>
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149 let
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150 val es = map simplify es
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151 in
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152 if List.exists isFinish es then
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153 Finish
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154 else
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155 Func (f, es)
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156 end
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157 | Recd xes =>
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158 let
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159 val xes = map (fn (x, e) => (x, simplify e)) xes
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160 in
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161 if List.exists (isFinish o #2) xes then
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162 Finish
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163 else
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164 Recd xes
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165 end
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166 | Proj (e, s) =>
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167 (case simplify e of
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168 Recd xes =>
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169 getOpt (ListUtil.search (fn (x, e') => if x = s then SOME e' else NONE) xes, Recd xes)
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170 | e' =>
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171 if isFinish e' then
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172 Finish
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173 else
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174 Proj (e', s))
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175 | Finish => Finish
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176
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177 fun eq (e1, e2) = eq' (simplify e1, simplify e2)
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178
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179 fun decomp or =
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180 let
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181 fun decomp p k =
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182 case p of
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183 True => k []
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184 | False => true
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185 | Unknown => k []
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186 | And (p1, p2) =>
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187 decomp p1 (fn ps1 =>
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188 decomp p2 (fn ps2 =>
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189 k (ps1 @ ps2)))
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190 | Or (p1, p2) =>
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191 or (decomp p1 k, fn () => decomp p2 k)
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192 | Reln x => k [x]
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193 | Select _ => k []
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194 in
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195 decomp
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196 end
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197
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198 fun rimp ((r1 : reln, es1), (r2, es2)) =
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199 r1 = r2 andalso ListPair.allEq eq (es1, es2)
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200
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201 fun imp (p1, p2) =
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202 decomp (fn (e1, e2) => e1 andalso e2 ()) p1
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203 (fn hyps =>
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204 decomp (fn (e1, e2) => e1 orelse e2 ()) p2
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205 (fn goals =>
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206 List.all (fn r2 => List.exists (fn r1 => rimp (r1, r2)) hyps) goals))
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207
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208 fun patCon pc =
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209 case pc of
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210 PConVar n => "C" ^ Int.toString n
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211 | PConFfi {mod = m, datatyp = d, con = c, ...} => m ^ "." ^ d ^ "." ^ c
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212
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213 exception Summaries of (string * exp * prop * (exp * prop) list) list
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214
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215 datatype chunk =
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216 String of string
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217 | Exp of Mono.exp
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218
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219 fun chunkify e =
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220 case #1 e of
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221 EPrim (Prim.String s) => [String s]
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222 | EStrcat (e1, e2) => chunkify e1 @ chunkify e2
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223 | _ => [Exp e]
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224
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225 fun queryProp rv e =
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226 let
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227 fun query chs =
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228 case chs of
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229 [] => raise Fail "Iflow: Empty query"
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230 | Exp _ :: _ => Unknown
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231 | String "" :: chs => query chs
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232 | String s :: chs => True
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233 in
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234 query (chunkify e)
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235 end
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236
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237 fun evalExp env (e : Mono.exp, st as (nv, p, sent)) =
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238 let
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239 fun default () =
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240 (Var nv, (nv+1, p, sent))
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241
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242 fun addSent (p, e, sent) =
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243 if isKnown e then
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244 sent
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245 else
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246 (e, p) :: sent
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247 in
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248 case #1 e of
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249 EPrim p => (Const p, st)
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250 | ERel n => (List.nth (env, n), st)
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251 | ENamed _ => default ()
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252 | ECon (_, pc, NONE) => (Func (patCon pc, []), st)
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253 | ECon (_, pc, SOME e) =>
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254 let
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255 val (e, st) = evalExp env (e, st)
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256 in
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257 (Func (patCon pc, [e]), st)
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258 end
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259 | ENone _ => (Func ("None", []), st)
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260 | ESome (_, e) =>
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261 let
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262 val (e, st) = evalExp env (e, st)
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263 in
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264 (Func ("Some", [e]), st)
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265 end
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266 | EFfi _ => default ()
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267 | EFfiApp (m, s, es) =>
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268 if m = "Basis" andalso SS.member (writers, s) then
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269 let
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270 val (es, st) = ListUtil.foldlMap (evalExp env) st es
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271 in
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272 (Func ("unit", []), (#1 st, p, foldl (fn (e, sent) => addSent (#2 st, e, sent)) sent es))
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273 end
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274 else if Settings.isEffectful (m, s) andalso not (Settings.isBenignEffectful (m, s)) then
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275 default ()
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276 else
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277 let
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278 val (es, st) = ListUtil.foldlMap (evalExp env) st es
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279 in
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280 (Func (m ^ "." ^ s, es), st)
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281 end
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282 | EApp _ => default ()
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283 | EAbs _ => default ()
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284 | EUnop (s, e1) =>
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285 let
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286 val (e1, st) = evalExp env (e1, st)
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287 in
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288 (Func (s, [e1]), st)
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289 end
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290 | EBinop (s, e1, e2) =>
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291 let
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292 val (e1, st) = evalExp env (e1, st)
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293 val (e2, st) = evalExp env (e2, st)
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294 in
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295 (Func (s, [e1, e2]), st)
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296 end
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297 | ERecord xets =>
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298 let
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299 val (xes, st) = ListUtil.foldlMap (fn ((x, e, _), st) =>
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300 let
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301 val (e, st) = evalExp env (e, st)
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302 in
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303 ((x, e), st)
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304 end) st xets
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305 in
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306 (Recd xes, st)
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307 end
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308 | EField (e, s) =>
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309 let
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310 val (e, st) = evalExp env (e, st)
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311 in
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312 (Proj (e, s), st)
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313 end
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314 | ECase _ => default ()
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315 | EStrcat (e1, e2) =>
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316 let
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317 val (e1, st) = evalExp env (e1, st)
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318 val (e2, st) = evalExp env (e2, st)
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319 in
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320 (Func ("cat", [e1, e2]), st)
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321 end
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322 | EError _ => (Finish, st)
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323 | EReturnBlob {blob = b, mimeType = m, ...} =>
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324 let
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325 val (b, st) = evalExp env (b, st)
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326 val (m, st) = evalExp env (m, st)
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327 in
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328 (Finish, (#1 st, p, addSent (#2 st, b, addSent (#2 st, m, sent))))
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329 end
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330 | ERedirect (e, _) =>
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331 let
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332 val (e, st) = evalExp env (e, st)
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333 in
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334 (Finish, (#1 st, p, addSent (#2 st, e, sent)))
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335 end
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336 | EWrite e =>
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337 let
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338 val (e, st) = evalExp env (e, st)
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339 in
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340 (Func ("unit", []), (#1 st, p, addSent (#2 st, e, sent)))
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341 end
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342 | ESeq (e1, e2) =>
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343 let
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344 val (_, st) = evalExp env (e1, st)
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345 in
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346 evalExp env (e2, st)
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347 end
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348 | ELet (_, _, e1, e2) =>
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349 let
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350 val (e1, st) = evalExp env (e1, st)
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351 in
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352 evalExp (e1 :: env) (e2, st)
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353 end
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354 | EClosure (n, es) =>
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355 let
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356 val (es, st) = ListUtil.foldlMap (evalExp env) st es
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357 in
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358 (Func ("Cl" ^ Int.toString n, es), st)
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359 end
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360
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361 | EQuery {query = q, body = b, initial = i, ...} =>
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362 let
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363 val (_, st) = evalExp env (q, st)
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364 val (i, st) = evalExp env (i, st)
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365
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366 val r = #1 st
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367 val acc = #1 st + 1
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368 val st' = (#1 st + 2, #2 st, #3 st)
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369
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370 val (b, st') = evalExp (Var acc :: Var r :: env) (b, st')
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371
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372 val r' = newLvar ()
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373 val acc' = newLvar ()
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374 val qp = queryProp r' q
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375
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376 val doSubExp = subExp (r, r') o subExp (acc, acc')
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377 val doSubProp = subProp (r, r') o subProp (acc, acc')
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378
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379 val p = doSubProp (#2 st')
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380 val p = And (p, qp)
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381 val p = Select (r, r', acc', p, doSubExp b)
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382 in
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383 (Var r, (#1 st + 1, And (#2 st, p), map (fn (e, p) => (doSubExp e, And (qp, doSubProp p))) (#3 st')))
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384 end
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385 | EDml _ => default ()
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386 | ENextval _ => default ()
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387 | ESetval _ => default ()
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388
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389 | EUnurlify _ => default ()
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390 | EJavaScript _ => default ()
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391 | ESignalReturn _ => default ()
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392 | ESignalBind _ => default ()
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393 | ESignalSource _ => default ()
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394 | EServerCall _ => default ()
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395 | ERecv _ => default ()
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396 | ESleep _ => default ()
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397 | ESpawn _ => default ()
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398 end
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399
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400 fun check file =
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401 let
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402 fun decl ((d, _), summaries) =
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403 case d of
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404 DVal (x, _, _, e, _) =>
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405 let
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406 fun deAbs (e, env, nv) =
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407 case #1 e of
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408 EAbs (_, _, _, e) => deAbs (e, Var nv :: env, nv + 1)
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409 | _ => (e, env, nv)
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410
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411 val (e, env, nv) = deAbs (e, [], 0)
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412
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413 val (e, (_, p, sent)) = evalExp env (e, (nv, True, []))
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414 in
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415 (x, e, p, sent) :: summaries
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416 end
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417 | _ => summaries
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418 in
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419 raise Summaries (foldl decl [] file)
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420 end
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421
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422 end
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