doc-src/Tutorial/ToyList/ToyList.thy
author nipkow
Wed, 26 Aug 1998 17:27:27 +0200
changeset 5377 efb799c5ed3c
permissions -rw-r--r--
*** empty log message ***
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
5377
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     1
ToyList = Datatype +
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     2
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     3
datatype 'a list = Nil                        ("[]")
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     4
                 | Cons 'a ('a list)          (infixr "#" 65)
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     5
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     6
consts app :: 'a list => 'a list => 'a list   (infixr "@" 65)
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     7
       rev :: 'a list => 'a list
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     8
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     9
primrec
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    10
"[] @ ys       = ys"
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    11
"(x # xs) @ ys = x # (xs @ ys)"
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    12
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    13
primrec
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    14
"rev []        = []"
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    15
"rev (x # xs)  = (rev xs) @ (x # [])"
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    16
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
    17
end