Module
Turing Machines, Variants, and the Church–Turing Thesis
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About
Single-tape TMs: state, tape alphabet, transition function, configurations, accept/reject/loop. Multi-tape, nondeterministic, and other robust variants; equivalence proofs (simulation). Church–Turing thesis: TMs capture the intuitive notion of algorithm. Encodings of machines and problems as languages.
Goal
Design TMs (or high-level descriptions) for decidable problems; simulate multi-tape/NTM by single-tape DTM; encode machines/inputs as strings; articulate the Church–Turing thesis and its implications for ‘what is computable’.
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