src/HOLCF/One.thy
author regensbu
Thu, 29 Jun 1995 16:28:40 +0200
changeset 1168 74be52691d62
parent 625 119391dd1d59
child 1274 ea0668a1c0ba
permissions -rw-r--r--
The curried version of HOLCF is now just called HOLCF. The old uncurried version is no longer supported
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/one.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
625
119391dd1d59 New version
nipkow
parents: 243
diff changeset
     6
Introduce atomic type one = (void)u
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     7
625
119391dd1d59 New version
nipkow
parents: 243
diff changeset
     8
The type is axiomatized as the least solution of a domain equation.
119391dd1d59 New version
nipkow
parents: 243
diff changeset
     9
The functor term that specifies the domain equation is: 
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    10
625
119391dd1d59 New version
nipkow
parents: 243
diff changeset
    11
  FT = <U,K_{void}>
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    12
625
119391dd1d59 New version
nipkow
parents: 243
diff changeset
    13
For details see chapter 5 of:
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    14
625
119391dd1d59 New version
nipkow
parents: 243
diff changeset
    15
[Franz Regensburger] HOLCF: Eine konservative Erweiterung von HOL um LCF,
119391dd1d59 New version
nipkow
parents: 243
diff changeset
    16
                     Dissertation, Technische Universit"at M"unchen, 1994
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    17
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    18
*)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    19
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    20
One = ccc1+
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    21
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    22
types one 0
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    23
arities one :: pcpo
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    24
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    25
consts
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    26
	abs_one		:: "(void)u -> one"
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    27
	rep_one		:: "one -> (void)u"
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    28
	one 		:: "one"
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    29
	one_when 	:: "'c -> one -> 'c"
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    30
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    31
rules
1168
74be52691d62 The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents: 625
diff changeset
    32
  abs_one_iso	"abs_one`(rep_one`u) = u"
74be52691d62 The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents: 625
diff changeset
    33
  rep_one_iso	"rep_one`(abs_one`x) = x"
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    34
1168
74be52691d62 The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents: 625
diff changeset
    35
defs
74be52691d62 The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents: 625
diff changeset
    36
  one_def	"one == abs_one`(up`UU)"
74be52691d62 The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents: 625
diff changeset
    37
  one_when_def "one_when == (LAM c u.lift`(LAM x.c)`(rep_one`u))"
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    38
end
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    39
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    40
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    41
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    42
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    43