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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.
8
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Undecidability in Conway's Game of Life
I think this is shown in Wainwright, R. (1974). Life is universal! Winter Simulation Conference: Proceedings of the 7th conference on Winter simulation, 2:449–459, although I haven't actually looked a …