author | blanchet |
Tue, 28 Aug 2012 17:16:00 +0200 | |
changeset 48975 | 7f79f94a432c |
child 48980 | debfa361f648 |
permissions | -rw-r--r-- |
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(* Title: Codatatype_Examples/Misc_Data.thy |
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Author: Dmitriy Traytel, TU Muenchen |
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Author: Andrei Popescu, TU Muenchen |
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Copyright 2012 |
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Miscellaneous codatatype declarations. |
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*) |
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header {* Miscellaneous Codatatype Declarations *} |
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theory Misc_Codata |
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imports "../Codatatype/Codatatype" |
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begin |
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ML {* quick_and_dirty := false *} |
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ML {* PolyML.fullGC (); *} |
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bnf_codata simple: 'a = "unit + unit + unit + unit" |
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bnf_codata stream: 's = "'a \<times> 's" |
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bnf_codata llist: 'llist = "unit + 'a \<times> 'llist" |
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bnf_codata some_passive: 'a = "'a + 'b + 'c + 'd + 'e" |
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(* |
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('a, 'b1, 'b2) F1 = 'a * 'b1 + 'a * 'b2 |
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('a, 'b1, 'b2) F2 = unit + 'b1 * 'b2 |
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*) |
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bnf_codata F1: 'b1 = "'a \<times> 'b1 + 'a \<times> 'b2" |
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and F2: 'b2 = "unit + 'b1 * 'b2" |
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bnf_codata EXPR: 'E = "'T + 'T \<times> 'E" |
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and TERM: 'T = "'F + 'F \<times> 'T" |
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and FACTOR: 'F = "'a + 'b + 'E" |
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bnf_codata llambda: |
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'trm = "string + |
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'trm \<times> 'trm + |
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string \<times> 'trm + |
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(string \<times> 'trm) fset \<times> 'trm" |
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bnf_codata par_llambda: |
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'trm = "'a + |
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'trm \<times> 'trm + |
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'a \<times> 'trm + |
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('a \<times> 'trm) fset \<times> 'trm" |
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(* |
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'a tree = Empty | Node of 'a * 'a forest ('b = unit + 'a * 'c) |
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'a forest = Nil | Cons of 'a tree * 'a forest ('c = unit + 'b * 'c) |
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*) |
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bnf_codata tree: 'tree = "unit + 'a \<times> 'forest" |
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and forest: 'forest = "unit + 'tree \<times> 'forest" |
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bnf_codata CPS: 'a = "'b + 'b \<Rightarrow> 'a" |
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bnf_codata fun_rhs: 'a = "'b1 \<Rightarrow> 'b2 \<Rightarrow> 'b3 \<Rightarrow> 'b4 \<Rightarrow> 'b5 \<Rightarrow> 'b6 \<Rightarrow> 'b7 \<Rightarrow> 'b8 \<Rightarrow> 'b9 \<Rightarrow> 'a" |
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bnf_codata fun_rhs': 'a = "'b1 \<Rightarrow> 'b2 \<Rightarrow> 'b3 \<Rightarrow> 'b4 \<Rightarrow> 'b5 \<Rightarrow> 'b6 \<Rightarrow> 'b7 \<Rightarrow> 'b8 \<Rightarrow> 'b9 \<Rightarrow> 'b10 \<Rightarrow> |
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'b11 \<Rightarrow> 'b12 \<Rightarrow> 'b13 \<Rightarrow> 'b14 \<Rightarrow> 'b15 \<Rightarrow> 'b16 \<Rightarrow> 'b17 \<Rightarrow> 'b18 \<Rightarrow> 'b19 \<Rightarrow> 'b20 \<Rightarrow> 'a" |
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bnf_codata some_killing: 'a = "'b \<Rightarrow> 'd \<Rightarrow> ('a + 'c)" |
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and in_here: 'c = "'d \<times> 'b + 'e" |
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bnf_codata some_killing': 'a = "'b \<Rightarrow> 'd \<Rightarrow> ('a + 'c)" |
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and in_here': 'c = "'d + 'e" |
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bnf_codata some_killing'': 'a = "'b \<Rightarrow> 'c" |
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and in_here'': 'c = "'d \<times> 'b + 'e" |
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bnf_codata less_killing: 'a = "'b \<Rightarrow> 'c" |
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(* SLOW, MEMORY-HUNGRY |
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bnf_codata K1': 'K1 = "'K2 + 'a list" |
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and K2': 'K2 = "'K3 + 'c fset" |
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and K3': 'K3 = "'K3 + 'K4 + 'K4 \<times> 'K5" |
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and K4': 'K4 = "'K5 + 'a list list list" |
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and K5': 'K5 = "'K6" |
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and K6': 'K6 = "'K7" |
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and K7': 'K7 = "'K8" |
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and K8': 'K8 = "'K1 list" |
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*) |
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end |