18.404J/6.840J The Theory of Computation(Fall 2020, MIT OCW). Instructor: Prof. Michael Sipser. This course emphasizes computability and computational complexity theory. Topics include regular and context-free languages, decidable and undecidable problems, reducibility, recursive function theory, time and space measures on computation, completeness, hierarchy theorems, inherently complex problems, oracles, probabilistic computation, and interactive proof systems.
(from ocw.mit.edu)
Lecture 06 - TM Variants, Church-Turing Thesis
Quickly reviewed last lecture. Showed that various TM variants are all equivalent to the single-tape model. Discussed the Church-Turing Thesis: Turing machines are equivalent to "algorithms" and model-independence. Introduced notation for encoding objects and describing TMs.