An NP completeness problem. "Does P equal NP?" is one of the most important unsolved questions in modern mathematics. (Image by MIT OCW.)
This course features a full set of homework assignments
. In addition, the recitation
section includes many practice problems. 6.045J is a course in the department's "Theoretical Computer Science" concentration.
This course is offered to undergraduates and introduces basic mathematical models of computation and the finite representation of infinite objects. The course is slower paced than 6.840J/18.404J. Topics covered include: finite automata and regular languages, context-free languages, Turing machines, partial recursive functions, Church's Thesis, undecidability, reducibility and completeness, time complexity and NP-completeness, probabilistic computation, and interactive proof systems.
*Some translations represent previous versions of courses.