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1 (* ========================================================================= *) |
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2 (* FIRST ORDER LOGIC TERMS *) |
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3 (* Copyright (c) 2001 Joe Hurd, distributed under the GNU GPL version 2 *) |
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4 (* ========================================================================= *) |
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5 |
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6 signature Term = |
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7 sig |
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8 |
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9 (* ------------------------------------------------------------------------- *) |
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10 (* A type of first order logic terms. *) |
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11 (* ------------------------------------------------------------------------- *) |
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12 |
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13 type var = Name.name |
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14 |
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15 type functionName = Name.name |
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16 |
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17 type function = functionName * int |
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18 |
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19 type const = functionName |
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20 |
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21 datatype term = |
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22 Var of var |
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23 | Fn of functionName * term list |
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24 |
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25 (* ------------------------------------------------------------------------- *) |
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26 (* Constructors and destructors. *) |
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27 (* ------------------------------------------------------------------------- *) |
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28 |
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29 (* Variables *) |
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30 |
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31 val destVar : term -> var |
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32 |
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33 val isVar : term -> bool |
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34 |
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35 val equalVar : var -> term -> bool |
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36 |
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37 (* Functions *) |
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38 |
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39 val destFn : term -> functionName * term list |
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40 |
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41 val isFn : term -> bool |
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42 |
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43 val fnName : term -> functionName |
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44 |
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45 val fnArguments : term -> term list |
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46 |
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47 val fnArity : term -> int |
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48 |
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49 val fnFunction : term -> function |
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50 |
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51 val functions : term -> NameAritySet.set |
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52 |
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53 val functionNames : term -> NameSet.set |
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54 |
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55 (* Constants *) |
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56 |
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57 val mkConst : const -> term |
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58 |
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59 val destConst : term -> const |
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60 |
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61 val isConst : term -> bool |
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62 |
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63 (* Binary functions *) |
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64 |
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65 val mkBinop : functionName -> term * term -> term |
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66 |
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67 val destBinop : functionName -> term -> term * term |
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68 |
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69 val isBinop : functionName -> term -> bool |
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70 |
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71 (* ------------------------------------------------------------------------- *) |
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72 (* The size of a term in symbols. *) |
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73 (* ------------------------------------------------------------------------- *) |
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74 |
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75 val symbols : term -> int |
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76 |
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77 (* ------------------------------------------------------------------------- *) |
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78 (* A total comparison function for terms. *) |
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79 (* ------------------------------------------------------------------------- *) |
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80 |
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81 val compare : term * term -> order |
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82 |
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83 val equal : term -> term -> bool |
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84 |
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85 (* ------------------------------------------------------------------------- *) |
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86 (* Subterms. *) |
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87 (* ------------------------------------------------------------------------- *) |
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88 |
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89 type path = int list |
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90 |
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91 val subterm : term -> path -> term |
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92 |
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93 val subterms : term -> (path * term) list |
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94 |
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95 val replace : term -> path * term -> term |
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96 |
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97 val find : (term -> bool) -> term -> path option |
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98 |
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99 val ppPath : path Print.pp |
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100 |
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101 val pathToString : path -> string |
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102 |
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103 (* ------------------------------------------------------------------------- *) |
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104 (* Free variables. *) |
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105 (* ------------------------------------------------------------------------- *) |
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106 |
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107 val freeIn : var -> term -> bool |
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108 |
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109 val freeVars : term -> NameSet.set |
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110 |
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111 val freeVarsList : term list -> NameSet.set |
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112 |
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113 (* ------------------------------------------------------------------------- *) |
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114 (* Fresh variables. *) |
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115 (* ------------------------------------------------------------------------- *) |
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116 |
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117 val newVar : unit -> term |
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118 |
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119 val newVars : int -> term list |
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120 |
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121 val variantPrime : NameSet.set -> var -> var |
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122 |
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123 val variantNum : NameSet.set -> var -> var |
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124 |
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125 (* ------------------------------------------------------------------------- *) |
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126 (* Special support for terms with type annotations. *) |
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127 (* ------------------------------------------------------------------------- *) |
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128 |
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129 val hasTypeFunctionName : functionName |
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130 |
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131 val hasTypeFunction : function |
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132 |
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133 val isTypedVar : term -> bool |
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134 |
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135 val typedSymbols : term -> int |
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136 |
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137 val nonVarTypedSubterms : term -> (path * term) list |
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138 |
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139 (* ------------------------------------------------------------------------- *) |
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140 (* Special support for terms with an explicit function application operator. *) |
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141 (* ------------------------------------------------------------------------- *) |
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142 |
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143 val appName : Name.name |
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144 |
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145 val mkApp : term * term -> term |
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146 |
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147 val destApp : term -> term * term |
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148 |
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149 val isApp : term -> bool |
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150 |
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151 val listMkApp : term * term list -> term |
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152 |
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153 val stripApp : term -> term * term list |
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154 |
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155 (* ------------------------------------------------------------------------- *) |
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156 (* Parsing and pretty printing. *) |
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157 (* ------------------------------------------------------------------------- *) |
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158 |
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159 (* Infix symbols *) |
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160 |
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161 val infixes : Print.infixes ref |
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162 |
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163 (* The negation symbol *) |
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164 |
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165 val negation : string ref |
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166 |
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167 (* Binder symbols *) |
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168 |
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169 val binders : string list ref |
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170 |
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171 (* Bracket symbols *) |
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172 |
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173 val brackets : (string * string) list ref |
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174 |
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175 (* Pretty printing *) |
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176 |
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177 val pp : term Print.pp |
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178 |
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179 val toString : term -> string |
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180 |
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181 (* Parsing *) |
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182 |
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183 val fromString : string -> term |
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184 |
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185 val parse : term Parse.quotation -> term |
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186 |
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187 end |