| author | wenzelm | 
| Fri, 24 Oct 1997 17:12:09 +0200 | |
| changeset 3989 | 092ab30c1471 | 
| parent 243 | c22b85994e17 | 
| permissions | -rw-r--r-- | 
| 
243
 
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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1  | 
(* Title: HOLCF/tr2.thy  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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2  | 
ID: $Id$  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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3  | 
Author: Franz Regensburger  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
4  | 
Copyright 1993 Technische Universitaet Muenchen  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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5  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
6  | 
Introduce infix if_then_else_fi and boolean connectives andalso, orelse  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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7  | 
*)  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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8  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
9  | 
Tr2 = Tr1 +  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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10  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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11  | 
consts  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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12  | 
"@cifte" :: "tr=>'c=>'c=>'c"  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
13  | 
                             ("(3If _/ (then _/ else _) fi)" [60,60,60] 60)
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
14  | 
"Icifte" :: "tr->'c->'c->'c"  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
15  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
16  | 
	"@andalso"	:: "tr => tr => tr" ("_ andalso _" [61,60] 60)
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
17  | 
	"cop @andalso"	:: "tr -> tr -> tr" ("trand")
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
18  | 
	"@orelse"	:: "tr => tr => tr" ("_ orelse _"  [61,60] 60)
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
19  | 
	"cop @orelse"	:: "tr -> tr -> tr" ("tror")
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
20  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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21  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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22  | 
rules  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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23  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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24  | 
ifte_def "Icifte == (LAM t e1 e2.tr_when[e1][e2][t])"  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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25  | 
andalso_def "trand == (LAM t1 t2.tr_when[t2][FF][t1])"  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
26  | 
orelse_def "tror == (LAM t1 t2.tr_when[TT][t2][t1])"  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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27  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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28  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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29  | 
end  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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30  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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31  | 
ML  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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32  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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33  | 
(* ----------------------------------------------------------------------*)  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
34  | 
(* translations for the above mixfixes *)  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
35  | 
(* ----------------------------------------------------------------------*)  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
36  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
37  | 
fun ciftetr ts =  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
38  | 
	let val Cfapp = Const("fapp",dummyT) in	
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
39  | 
Cfapp $  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
40  | 
(Cfapp $  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
41  | 
			(Cfapp$Const("Icifte",dummyT)$(nth_elem (0,ts)))$
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
42  | 
(nth_elem (1,ts)))$  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
43  | 
(nth_elem (2,ts))  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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44  | 
end;  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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45  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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46  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
47  | 
val parse_translation = [("@andalso",mk_cinfixtr "@andalso"),
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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48  | 
			("@orelse",mk_cinfixtr "@orelse"),
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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49  | 
			("@cifte",ciftetr)];
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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50  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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51  | 
val print_translation = [];  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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52  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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53  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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54  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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55  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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56  |