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computable sets and functions, Turing degrees, c.e. degrees, models of computability, primitive recursion, oracle computation, models of computability, decision problems, undecidability, Turing jump, halting problem, notions of computable randomness, computable model theory, computable equivalence relation theory, arithmetic and hyperarithmetic hierarchy, infinitary computability, $\alpha$-recursion, complexity theory.

3 votes

Physics and Church–Turing Thesis

To follow up on Michael Beeson’s answer (I’m not allowed to post comments yet), Robin Gandy’s paper was “Church's Thesis and Principles for Mechanisms” in The Kleene Symposium (http://dx.doi.org/10.10 …
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