Talk:Universal Turing machine

Examples sufficient to find bugs in UTM?

I want to raise the question if the proposed examples (simple incrementer / busy beaver) are enough to find bugs in the code. I have to admit that I uploaded two faulty Java implementations that worked fine with both examples, before I found a (hopefully) correct version. I propose to add this example that helped me fix the bugs:

Sort a tape containing arbitrary sequences of "a" and "b" alphabetically ("*" being blank symbol, "s0" initial state, "see" terminal state):

("s0", "a", "s0", "a", right)

("s0", "b", "s1", "B", right)

("s0", "*", "se", "*", left)

("s1", "a", "s1", "a", right)

("s1", "b", "s1", "b", right)

("s1", "*", "s2", "*", left)

("s2", "a", "s3", "b", left)

("s2", "b", "s2", "b", left)

("s2", "B", "se", "b", left)

("s3", "a", "s3", "a", left)

("s3", "b", "s3", "b", left)

("s3", "B", "s0", "a", right)

("se", "a", "se", "a", left)

("se", "*", "see", "*", right)

Example: abbabbabababab => aaaaaabbbbbbbb

--Coenig 14:11, 17 February 2013 (UTC)