MIT机电工程与计算机科学系【本科生课程】6.045J.自动机，可计算性和复杂性.Automata,.Computability,.and.Complexity[www.ed2kers.com].pdfVIP

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MIT机电工程与计算机科学系【本科生课程】6.045J.自动机，可计算性和复杂性.Automata,.Computability,.and.Complexity[www.ed2kers.com].pdf

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Automata, Computability, and Complexity As taught in: Spring 2011 Lecture 3 introduces finite automata and provides several examples; this one includes a trap state, state d. (Image by MIT OpenCourseWare.) Instructors: Prof. Scott Aaronson MIT Course Number: 6.045J / 18.400J Level: Undergraduate Course Description This course provides a challenging introduction to some of the central ideas of theoretical computer science. Beginning in antiquity, the course will progress through finite automata, circuits and decision trees, Turing machines and computability, efficient algorithms and reducibility, the P versus NP problem, NP-completeness, the power of randomness, cryptography and one-way functions, computational learning theory, and quantum computing. It examines the classes of problems that can and cannot be solved by various kinds of machines. It tries to explain the key differences between computational models that affect their power. Syllabus Course Meeting Times Lectures: 2 sessions / week, 1.5 hours / session Recitations: 1 session / week, 1 hour / session Course Description This course provides a challenging introduction to some of the central ideas of theoretical computer science. It attempts to present a vision of computer science beyond computers: that is, CS as a set of mathematical tools for understanding complex systems such as universes and minds. Beginning in antiquity, with Euclids algorithm and other ancient examples of computational thinking, the course will progress rapidly through finite automata, Turing machines and computability, decision trees and other concrete computational models, efficient algorithms and reducibility, NP-completeness, the P versus NP problem, the power of randomness, cryptography and one-way functions, computational learning theory, interactive proofs, and quantum computing and the physical limits of computation. Class participation is important, as the class will include discussion and debate