doc-src/Tutorial/Misc/Ackermann.thy
author paulson
Mon, 16 Jun 2003 17:48:43 +0200
changeset 14058 a26a6a36e09d
parent 5377 efb799c5ed3c
permissions -rw-r--r--
added TUM
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
5377
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     1
Ackermann = WF_Rel +
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     2
consts ack :: "nat * nat => nat"
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     3
recdef ack "measure(%m. m) ** measure(%n. n)"
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     4
"ack(0,n)         = Suc n"
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     5
"ack(Suc m,0)     = ack(m, 1)"
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     6
"ack(Suc m,Suc n) = ack(m,ack(Suc m,n))"
efb799c5ed3c *** empty log message ***
nipkow
parents:
diff changeset
     7
end