**Introduction to Computational Complexity**

by Martin Tompa

1991**Number of pages**: 85

**Description**:

These are the lecture notes from a graduate course on Computational Complexity taught at the University of Washington. This text adopts some approaches that will appear unconventional. For example, alternating Turing machines are introduced very early, and deterministic and nondeterministic Turing machines treated as special cases. This simplifies many proofs, such as that of Savitch's Theorem, the P-completeness of the circuit value problem, the NP-completeness of the satisfiability problem, and the PSPACE-completeness of the quantified Boolean formula problem.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**Communication Complexity (for Algorithm Designers)**

by

**Tim Roughgarden**-

**Stanford University**

The two biggest goals of the course are: 1. Learn several canonical problems that have proved the most useful for proving lower bounds; 2. Learn how to reduce lower bounds for fundamental algorithmic problems to communication complexity lower bounds.

(

**1171**views)

**Measure-Preserving Systems**

by

**Karl Petersen**-

**University of North Carolina**

These notes provide an introduction to the subject of measure-preserving dynamical systems, discussing the dynamical viewpoint; how and from where measure-preserving systems arise; the construction of measures and invariant measures; etc.

(

**6321**views)

**P, NP, and NP-Completeness: The Basics of Complexity Theory**

by

**Oded Goldreich**-

**Cambridge University Press**

The main focus of the current book is on the P-vs-NP Question and the theory of NP-completeness. Additional topics that are covered include the treatment of the general notion of a reduction between computational problems.

(

**4627**views)

**Lecture Notes on Computational Complexity**

by

**Luca Trevisan**

Notes from a graduate courses on Computational Complexity. The first 15 lectures cover fundamentals, the remaining is advanced material: Hastad's optimal inapproximability results, lower bounds for parity in bounded depth-circuits, and more.

(

**10387**views)