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Problem A143.doc
Problem 43
Prove that an oracle C exists for which NPC ( coNPC.
Automata and Computability - Show that, if P = NP then every language A P except A = 0 and A = * is NP-complete.
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Automata and Computability - Let C be a language. Prove that C turing-recognizable if a decidable language D exists such that C = {x | y (x,y D)}.
Automata and Computability (A125) - 1. Give an example in the spirit of the recursion theorem of a program in a real programming language (or a reasonable approximation thereof) that prints itself out.
Automata and Computability - Let EQREX = {R,S | R and S are equivalent regular expressions}. Show that EQREX PSPACE.
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Automata and Computability - Describe two different Turing machines, M and N, where, when started on any input, M outputs N and N outputs M.