CS 505 Computability and Complexity Theory

Spring, 2019

Time and location: Monday, Wednesday and Friday 2:00-2:50pm, Thomas Beckham Hall (TBH), Room 180E
Intructor: Anastasios Sidiropoulos, sidiropo@uic.edu, office hours: TBA

Overview

This course discusses fundametal concepts in compatability and complexity theory. The topics covered include models of computation, undecidability, polynomial-time computation and the classes P and NP, diagonalization, space complexity and the classes PSPACE and NL, the polynomial hierarchy, circuit complexity, randomized computation, interactive proofs, cryptography, quantum computation, and hardness of approximation. The standard prerequisite course is CS 301 or an equivalent one. The course will also require general mathematical maturity (i.e. the ability to read and write proofs). No other special background will be necessary.

Textbooks

Evaluation

There will be one midterm, a final exam, and several homeworks. The final exam will be comprehensive. Each homework will be due before the beginning of a predetermined lecture. No late assignments will be accepted. The final score is computed using the formula: 0.35 × homeworks + 0.3 × midterm + 0.35 × final. The final letter gades will be curved.

Lectures