| author | Christian Urban <urbanc@in.tum.de> |
| Sat, 26 Dec 2009 07:15:30 +0100 | |
| changeset 790 | 3a48ffcf0f9a |
| parent 787 | 5cf83fa5b36c |
| child 795 | a28f805df355 |
| permissions | -rw-r--r-- |
|
779
3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
1 |
theory AbsRepTest |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
2 |
imports "../QuotMain" "../QuotList" "../QuotOption" "../QuotSum" "../QuotProd" List |
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Christian Urban <urbanc@in.tum.de>
parents:
diff
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3 |
begin |
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3b21b24a5fb6
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Christian Urban <urbanc@in.tum.de>
parents:
diff
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4 |
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Christian Urban <urbanc@in.tum.de>
parents:
787
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5 |
ML {* open Quotient_Term *}
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parents:
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6 |
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d6407afb913c
used Local_Theory.declaration for storing quotdata
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parents:
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7 |
print_maps |
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used Local_Theory.declaration for storing quotdata
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parents:
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8 |
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790
3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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9 |
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779
3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
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10 |
quotient_type |
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parents:
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'a fset = "'a list" / "\<lambda>xs ys. \<forall>e. e \<in> set xs \<longleftrightarrow> e \<in> set ys" |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
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|
12 |
apply(rule equivpI) |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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13 |
unfolding reflp_def symp_def transp_def |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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14 |
by auto |
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787
5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
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15 |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
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|
16 |
quotient_type |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
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17 |
'a foo = "('a * 'a) list" / "\<lambda>(xs::('a * 'a) list) ys. \<forall>e. e \<in> set xs \<longleftrightarrow> e \<in> set ys"
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779
3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
18 |
apply(rule equivpI) |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
|
19 |
unfolding reflp_def symp_def transp_def |
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790
3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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20 |
by auto |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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21 |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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22 |
quotient_type |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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23 |
'a bar = "('a * int) list" / "\<lambda>(xs::('a * int) list) ys. \<forall>e. e \<in> set xs \<longleftrightarrow> e \<in> set ys"
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
changeset
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24 |
apply(rule equivpI) |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
changeset
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25 |
unfolding reflp_def symp_def transp_def |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
changeset
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26 |
by auto |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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27 |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
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28 |
fun |
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3a48ffcf0f9a
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29 |
intrel :: "(nat \<times> nat) \<Rightarrow> (nat \<times> nat) \<Rightarrow> bool" |
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Christian Urban <urbanc@in.tum.de>
parents:
787
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30 |
where |
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3a48ffcf0f9a
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parents:
787
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"intrel (x, y) (u, v) = (x + v = u + y)" |
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3a48ffcf0f9a
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Christian Urban <urbanc@in.tum.de>
parents:
787
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32 |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
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33 |
quotient_type int = "nat \<times> nat" / intrel |
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3a48ffcf0f9a
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Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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by (auto simp add: equivp_def expand_fun_eq) |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
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35 |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
changeset
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36 |
print_quotients |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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37 |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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|
38 |
ML {*
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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39 |
absrep_fun_chk absF @{context}
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3a48ffcf0f9a
generalised absrep function; needs consolidation
Christian Urban <urbanc@in.tum.de>
parents:
787
diff
changeset
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(@{typ "('a * 'a) list"},
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3a48ffcf0f9a
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Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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@{typ "'a foo"})
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3a48ffcf0f9a
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parents:
787
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|> Syntax.string_of_term @{context}
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3a48ffcf0f9a
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parents:
787
diff
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|> writeln |
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3a48ffcf0f9a
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Christian Urban <urbanc@in.tum.de>
parents:
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*} |
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parents:
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45 |
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Christian Urban <urbanc@in.tum.de>
parents:
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46 |
(* PROBLEM |
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3a48ffcf0f9a
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parents:
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47 |
ML {*
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3a48ffcf0f9a
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Christian Urban <urbanc@in.tum.de>
parents:
787
diff
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absrep_fun_chk absF @{context}
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3a48ffcf0f9a
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parents:
787
diff
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(@{typ "(('a list) * int) list"},
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3a48ffcf0f9a
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parents:
787
diff
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@{typ "('a fset) bar"})
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parents:
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|> Syntax.string_of_term @{context}
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3a48ffcf0f9a
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parents:
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|> writeln |
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3a48ffcf0f9a
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parents:
787
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*}*) |
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parents:
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54 |
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3a48ffcf0f9a
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Christian Urban <urbanc@in.tum.de>
parents:
787
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55 |
ML {*
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3a48ffcf0f9a
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Christian Urban <urbanc@in.tum.de>
parents:
787
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absrep_fun_chk absF @{context}
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3a48ffcf0f9a
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parents:
787
diff
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(@{typ "('a list) list"},
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3a48ffcf0f9a
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parents:
787
diff
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@{typ "('a fset) fset"})
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3a48ffcf0f9a
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parents:
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|> Syntax.string_of_term @{context}
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3a48ffcf0f9a
generalised absrep function; needs consolidation
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parents:
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|> writeln |
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parents:
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*} |
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3a48ffcf0f9a
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parents:
787
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ML {*
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3a48ffcf0f9a
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parents:
787
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absrep_fun_chk absF @{context}
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3a48ffcf0f9a
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parents:
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(@{typ "nat \<times> nat"},
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parents:
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@{typ "int"})
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|> Syntax.string_of_term @{context}
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parents:
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|> writeln |
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parents:
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*} |
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term abs_foo |
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term rep_foo |
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parents:
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term "abs_foo o map (prod_fun id id)" |
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parents:
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term "map (prod_fun id id) o rep_foo" |
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parents:
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76 |
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parents:
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ML {*
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parents:
787
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absrep_fun_chk absF @{context}
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3a48ffcf0f9a
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parents:
787
diff
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(@{typ "('a * 'a) list"},
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3a48ffcf0f9a
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parents:
787
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@{typ "'a foo"})
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3a48ffcf0f9a
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parents:
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|> Syntax.string_of_term @{context}
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3a48ffcf0f9a
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parents:
787
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|> writeln |
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3a48ffcf0f9a
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parents:
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83 |
*} |
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parents:
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84 |
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3a48ffcf0f9a
generalised absrep function; needs consolidation
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parents:
787
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typ "('a fset) foo"
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779
3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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783
06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
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87 |
print_quotients |
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06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
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parents:
780
diff
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88 |
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06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
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89 |
ML{*
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modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
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parents:
780
diff
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Quotient_Info.quotient_rules_get @{context}
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modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
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91 |
*} |
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modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
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parents:
780
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92 |
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06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
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print_quotients |
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06e17083e90b
modified mk_resp_arg so that the user can give terms as equivalence relations, not just constants
Christian Urban <urbanc@in.tum.de>
parents:
780
diff
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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95 |
ML {*
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3b21b24a5fb6
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Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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96 |
open Quotient_Term; |
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parents:
diff
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97 |
*} |
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parents:
diff
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98 |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
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99 |
ML {*
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787
5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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absrep_fun_chk absF @{context}
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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101 |
(@{typ "(('a * 'a) list) list"},
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
changeset
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102 |
@{typ "(('a * 'a) fset) fset"})
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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103 |
|> Syntax.string_of_term @{context}
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
changeset
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104 |
|> writeln |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
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105 |
*} |
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3b21b24a5fb6
corrected map declarations for Sum and Prod; moved absrep_fun examples in separate file
Christian Urban <urbanc@in.tum.de>
parents:
diff
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106 |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
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107 |
(* |
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
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parents:
786
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108 |
ML {*
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5cf83fa5b36c
made the quotient_type definition more like typedef; now type variables need to be explicitly given
Christian Urban <urbanc@in.tum.de>
parents:
786
diff
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109 |
absrep_fun_chk absF @{context}
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(@{typ "('a * 'a) list"},
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111 |
@{typ "'a foo"})
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|> Syntax.string_of_term @{context}
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113 |
|> writeln |
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114 |
*} |
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115 |
*) |
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116 |
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117 |
term "option_map (prod_fun (abs_fset \<circ> map abs_int) id)" |
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118 |
term "option_map (prod_fun (map rep_int \<circ> rep_fset) id)" |
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119 |
term "option_map (map rep_int \<circ> rep_fset)" |
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120 |
term "option_map (abs_fset o (map abs_int))" |
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121 |
term "abs_fset" |
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122 |
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123 |
ML {*
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124 |
absrep_fun_chk absF @{context} (@{typ "(nat * nat) list"}, @{typ "int fset"})
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125 |
|> Syntax.string_of_term @{context}
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126 |
|> writeln |
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127 |
*} |
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128 |
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129 |
term "map abs_int" |
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130 |
term "abs_fset o map abs_int" |
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131 |
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132 |
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133 |
ML {*
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134 |
absrep_fun_chk absF @{context} (@{typ "('a list) list"}, @{typ "('a fset) fset"})
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135 |
|> Syntax.string_of_term @{context}
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136 |
|> writeln |
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137 |
*} |
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138 |
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139 |
ML {*
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140 |
absrep_fun_chk absF @{context} (@{typ "('a list) list \<Rightarrow> 'a"}, @{typ "('a fset) fset \<Rightarrow> 'a"})
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141 |
|> Syntax.string_of_term @{context}
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142 |
|> writeln |
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143 |
*} |
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144 |
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145 |
end |