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 11 - Recursion Theorem and Logic
Quickly reviewed last lecture. Discussed self-reference and the recursion theorem. Gave various applications. Sketched Godel's first incompleteness theorem in mathematical logic.