src/HOLCF/Tr2.thy
author lcp
Mon, 21 Nov 1994 10:51:40 +0100
changeset 718 efca1e0710fb
parent 625 119391dd1d59
child 752 b89462f9d5f1
permissions -rw-r--r--
page 157 erratum
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     1
(*  Title: 	HOLCF/tr2.thy
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     2
    ID:         $Id$
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     3
    Author: 	Franz Regensburger
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     4
    Copyright   1993 Technische Universitaet Muenchen
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     5
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
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     7
*)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     8
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     9
Tr2 = Tr1 +
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    10
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    11
consts
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    12
	"@cifte"	:: "tr=>'c=>'c=>'c"
430
89e1986125fe Franz Regensburger's changes.
nipkow
parents: 243
diff changeset
    13
                             ("(3If _/ (then _/ else _) fi)" 60)
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    14
	"Icifte"        :: "tr->'c->'c->'c"
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    15
430
89e1986125fe Franz Regensburger's changes.
nipkow
parents: 243
diff changeset
    16
	"@andalso"	:: "tr => tr => tr" ("_ andalso _" [36,35] 35)
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    17
	"cop @andalso"	:: "tr -> tr -> tr" ("trand")
430
89e1986125fe Franz Regensburger's changes.
nipkow
parents: 243
diff changeset
    18
	"@orelse"	:: "tr => tr => tr" ("_ orelse _"  [31,30] 30)
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    19
	"cop @orelse"	:: "tr -> tr -> tr" ("tror")
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    20
430
89e1986125fe Franz Regensburger's changes.
nipkow
parents: 243
diff changeset
    21
        "neg"           :: "tr -> tr"
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    22
625
119391dd1d59 New version
nipkow
parents: 430
diff changeset
    23
translations "x andalso y" => "trand[x][y]"
119391dd1d59 New version
nipkow
parents: 430
diff changeset
    24
             "x orelse y"  => "tror[x][y]"
119391dd1d59 New version
nipkow
parents: 430
diff changeset
    25
             "If b then e1 else e2 fi" => "Icifte[b][e1][e2]"
119391dd1d59 New version
nipkow
parents: 430
diff changeset
    26
              
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    27
rules
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    28
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    29
  ifte_def    "Icifte == (LAM t e1 e2.tr_when[e1][e2][t])"
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    30
  andalso_def "trand == (LAM t1 t2.tr_when[t2][FF][t1])"
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    31
  orelse_def  "tror  == (LAM t1 t2.tr_when[TT][t2][t1])"
430
89e1986125fe Franz Regensburger's changes.
nipkow
parents: 243
diff changeset
    32
  neg_def     "neg == (LAM t. tr_when[FF][TT][t])"
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    33
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    34
end
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    35
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    36
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    37
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    38
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    39