Lecture Notes Theory of Computation

Introduction to the Theory of Computing

This pdf includes overview and mathematical foundations, Regular operations and regular expressions, Proving languages to be nonregular, Further discussion of regular languages, Parse trees, ambiguity, and Chomsky normal form, Pushdown automata, Turing machines, Variants of Turing machines, Stack machines, Universal Turing machines and undecidable languages, Further discussion of computability.

Author(s): University of Waterloo

227 Pages

Lecture Notes Theory of Computation

This note covers the following topics: Properties of binary operations, Concantenation properties, Finite automata, Formal Languages, Pumping Lemma.

Author(s): S R Engineering College

155 Pages

Theory of Computation Tutorials

This note explains the theoretical computer science areas of formal languages and automata, computability and complexity. Topics covered include: regular and context-free languages, finite automata and pushdown automata, Turing machines, Church's thesis, computability - halting problem, solvable and unsolvable problems, space and time complexity, classes P, NP and PSPACE, NP-Completenes.

Author(s): The Australian National University, Canberra

NA Pages

Notes on Computational Complexity Theory

This note provides an introduction to the theory of computational complexity. Topics covered includes: Models of computation, Time and space complexity classes, Nonterminism and NP, Diagonalization, Oracles and relativization, Alternation, Space complexity, Natural proofs, Randomized classes, Counting classes, Descriptive complexity and Interactive proofs.

Author(s): James Aspnes

180 Pages

Theory Of Computation Lecture Notes

This lecture note covers the following topics: Theory Of Computation, Introduction To Automata, Finite Automata, Regular Expressions And Languages, Properties Of Regular Language, Context-free Grammars And Languages, Applications Of Context-free Grammars, Pushdown Automata, Properties of Context-Free Languages.

Author(s): Prof. D. Chandrasekhar Rao, Prof. Kishore Kumar Sahu and Prof. Pradipta Kumar Das

120 Pages

Introduction to theory of computation by Tom Carter

This note explains the following topics: Symbols, strings and languages, Finite automata, Regular expressions and languages, Markov models, Context free languages, Language recognizers and generators, The Chomsky hierarchy, Turing machines, Computability and actability, Computational complexity.

Author(s): Tom Carter

76 Pages

The Theory of Languages and Computation

This note covers the following topics: Automata, Set Theory, The Natural numbers and Induction, Foundations of Language Theory, Operations on Languages, Deterministic Finite Automata, Formal Languages, Computability, Computations of Turing Machines, The Primitive Recursive Functions, The Partial Recursive Functions, DNA Computing, Analog Computing and Scientific Computing.

Author(s): Jean Gallier and Andrew Hicks

109 Pages

Theory of Computation by S. Arun Kumar

This book covers the following topics: The RAM Model, The Primitive Recursive Functions, The Partial Recursive Functions, Coding and Godelization, The Hierarchy of Primitive Recursive Functions, Universality and Parametrisation, The type-free lambda calculus.

Author(s): S. Arun Kumar

83 Pages

Great Ideas in Theoretical Computer Science Lecture Notes

This course note 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.

Author(s): Prof. Scott Aaronson

NA Pages

A Computational Introduction to Number Theory and Algebra (V. Shoup)

This book introduces the basic concepts from computational number theory and algebra, including all the necessary mathematical background. Covered topics are: Basic properties of the integers, Congruences, Computing with large integers, Euclid’s algorithm, The distribution of primes, Abelian groups, Rings, Finite and discrete probability distributions, Probabilistic algorithms, Probabilistic primality testing, Finding generators and discrete logarithms in Zp, Quadratic reciprocity and computing modular square roots, Modules and vector spaces, Matrices, Subexponential-time discrete logarithms and factoring, Polynomial arithmetic and applications.

Author(s): Victor Shoup

NA Pages