1 theory Adaption |
1 theory Adaption |
2 imports Setup |
2 imports Setup |
3 begin |
3 begin |
4 |
4 |
5 section {* Adaption to target languages *} |
5 section {* Adaption to target languages \label{sec:adaption} *} |
6 |
6 |
7 subsection {* \ldots *} |
7 subsection {* Common adaption cases *} |
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8 |
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9 text {* |
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10 The @{text HOL} @{text Main} theory already provides a code |
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11 generator setup |
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12 which should be suitable for most applications. Common extensions |
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13 and modifications are available by certain theories of the @{text HOL} |
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14 library; beside being useful in applications, they may serve |
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15 as a tutorial for customising the code generator setup (see below |
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16 \secref{sec:adaption_mechanisms}). |
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17 |
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18 \begin{description} |
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19 |
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20 \item[@{theory "Code_Integer"}] represents @{text HOL} integers by big |
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21 integer literals in target languages. |
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22 \item[@{theory "Code_Char"}] represents @{text HOL} characters by |
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23 character literals in target languages. |
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24 \item[@{theory "Code_Char_chr"}] like @{text "Code_Char"}, |
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25 but also offers treatment of character codes; includes |
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26 @{theory "Code_Char_chr"}. |
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27 \item[@{theory "Efficient_Nat"}] \label{eff_nat} implements natural numbers by integers, |
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28 which in general will result in higher efficiency; pattern |
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29 matching with @{term "0\<Colon>nat"} / @{const "Suc"} |
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30 is eliminated; includes @{theory "Code_Integer"}. |
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31 \item[@{theory "Code_Index"}] provides an additional datatype |
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32 @{typ index} which is mapped to target-language built-in integers. |
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33 Useful for code setups which involve e.g. indexing of |
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34 target-language arrays. |
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35 \item[@{theory "Code_Message"}] provides an additional datatype |
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36 @{typ message_string} which is isomorphic to strings; |
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37 @{typ message_string}s are mapped to target-language strings. |
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38 Useful for code setups which involve e.g. printing (error) messages. |
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39 |
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40 \end{description} |
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41 |
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42 \begin{warn} |
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43 When importing any of these theories, they should form the last |
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44 items in an import list. Since these theories adapt the |
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45 code generator setup in a non-conservative fashion, |
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46 strange effects may occur otherwise. |
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47 \end{warn} |
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48 *} |
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49 |
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50 |
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51 subsection {* Adaption mechanisms \label{sec:adaption_mechanisms} *} |
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52 |
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53 text {* |
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54 \begin{warn} |
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55 The mechanisms shown here are especially for the curious; the user |
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56 rarely needs to do anything on his own beyond the defaults in @{text HOL}. |
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57 Adaption is a delicated task which requires a lot of dilligence since |
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58 it happend \emph{completely} outside the logic. |
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59 \end{warn} |
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60 *} |
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61 |
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62 text {* |
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63 Consider the following function and its corresponding |
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64 SML code: |
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65 *} |
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66 |
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67 primrec %quoteme in_interval :: "nat \<times> nat \<Rightarrow> nat \<Rightarrow> bool" where |
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68 "in_interval (k, l) n \<longleftrightarrow> k \<le> n \<and> n \<le> l" |
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69 |
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70 code_type %invisible bool |
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71 (SML) |
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72 code_const %invisible True and False and "op \<and>" and Not |
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73 (SML and and and) |
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74 |
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75 text %quoteme {*@{code_stmts in_interval (SML)}*} |
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76 |
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77 text {* |
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78 \noindent Though this is correct code, it is a little bit unsatisfactory: |
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79 boolean values and operators are materialised as distinguished |
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80 entities with have nothing to do with the SML-built-in notion |
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81 of \qt{bool}. This results in less readable code; |
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82 additionally, eager evaluation may cause programs to |
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83 loop or break which would perfectly terminate when |
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84 the existing SML @{verbatim "bool"} would be used. To map |
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85 the HOL @{typ bool} on SML @{verbatim "bool"}, we may use |
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86 \qn{custom serialisations}: |
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87 *} |
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88 |
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89 code_type %tt bool |
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90 (SML "bool") |
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91 code_const %tt True and False and "op \<and>" |
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92 (SML "true" and "false" and "_ andalso _") |
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93 |
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94 text {* |
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95 The @{command code_type} command takes a type constructor |
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96 as arguments together with a list of custom serialisations. |
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97 Each custom serialisation starts with a target language |
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98 identifier followed by an expression, which during |
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99 code serialisation is inserted whenever the type constructor |
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100 would occur. For constants, @{command code_const} implements |
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101 the corresponding mechanism. Each ``@{verbatim "_"}'' in |
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102 a serialisation expression is treated as a placeholder |
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103 for the type constructor's (the constant's) arguments. |
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104 *} |
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105 |
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106 text %quoteme {*@{code_stmts in_interval (SML)}*} |
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107 |
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108 text {* |
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109 \lstsml{Thy/examples/bool_mlbool.ML} |
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110 |
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111 \noindent This still is not perfect: the parentheses |
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112 around the \qt{andalso} expression are superfluous. |
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113 Though the serializer |
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114 by no means attempts to imitate the rich Isabelle syntax |
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115 framework, it provides some common idioms, notably |
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116 associative infixes with precedences which may be used here: |
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117 *} |
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118 |
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119 code_const %tt "op \<and>" |
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120 (SML infixl 1 "andalso") |
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121 |
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122 text %quoteme {*@{code_stmts in_interval (SML)}*} |
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123 |
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124 text {* |
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125 Next, we try to map HOL pairs to SML pairs, using the |
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126 infix ``@{verbatim "*"}'' type constructor and parentheses: |
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127 *} |
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128 |
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129 code_type %invisible * |
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130 (SML) |
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131 code_const %invisible Pair |
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132 (SML) |
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133 |
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134 code_type %tt * |
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135 (SML infix 2 "*") |
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136 code_const %tt Pair |
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137 (SML "!((_),/ (_))") |
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138 |
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139 text {* |
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140 The initial bang ``@{verbatim "!"}'' tells the serializer to never put |
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141 parentheses around the whole expression (they are already present), |
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142 while the parentheses around argument place holders |
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143 tell not to put parentheses around the arguments. |
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144 The slash ``@{verbatim "/"}'' (followed by arbitrary white space) |
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145 inserts a space which may be used as a break if necessary |
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146 during pretty printing. |
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147 |
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148 These examples give a glimpse what mechanisms |
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149 custom serialisations provide; however their usage |
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150 requires careful thinking in order not to introduce |
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151 inconsistencies -- or, in other words: |
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152 custom serialisations are completely axiomatic. |
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153 |
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154 A further noteworthy details is that any special |
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155 character in a custom serialisation may be quoted |
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156 using ``@{verbatim "'"}''; thus, in |
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157 ``@{verbatim "fn '_ => _"}'' the first |
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158 ``@{verbatim "_"}'' is a proper underscore while the |
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159 second ``@{verbatim "_"}'' is a placeholder. |
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160 |
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161 The HOL theories provide further |
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162 examples for custom serialisations. |
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163 *} |
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164 |
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165 |
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166 subsection {* @{text Haskell} serialisation *} |
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167 |
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168 text {* |
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169 For convenience, the default |
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170 @{text HOL} setup for @{text Haskell} maps the @{class eq} class to |
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171 its counterpart in @{text Haskell}, giving custom serialisations |
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172 for the class @{class eq} (by command @{command code_class}) and its operation |
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173 @{const HOL.eq} |
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174 *} |
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175 |
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176 code_class %tt eq |
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177 (Haskell "Eq" where "HOL.eq" \<equiv> "(==)") |
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178 |
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179 code_const %tt "op =" |
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180 (Haskell infixl 4 "==") |
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181 |
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182 text {* |
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183 A problem now occurs whenever a type which |
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184 is an instance of @{class eq} in @{text HOL} is mapped |
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185 on a @{text Haskell}-built-in type which is also an instance |
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186 of @{text Haskell} @{text Eq}: |
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187 *} |
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188 |
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189 typedecl %quoteme bar |
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190 |
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191 instantiation %quoteme bar :: eq |
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192 begin |
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193 |
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194 definition %quoteme "eq_class.eq (x\<Colon>bar) y \<longleftrightarrow> x = y" |
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195 |
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196 instance %quoteme by default (simp add: eq_bar_def) |
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197 |
9 end |
198 end |
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199 |
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200 code_type %tt bar |
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201 (Haskell "Integer") |
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202 |
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203 text {* |
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204 The code generator would produce |
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205 an additional instance, which of course is rejectedby the @{text Haskell} |
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206 compiler. |
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207 To suppress this additional instance, use |
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208 @{text "code_instance"}: |
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209 *} |
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210 |
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211 code_instance %tt bar :: eq |
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212 (Haskell -) |
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213 |
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214 end |