The Theory of Languages and Computation

Introduction to Computational Theory Lecture Notes

This note covers the following topics: Languages, Finite Automata, Regular Languages and Sets, Context-Free Grammars, Pushdown Automata and Context-Free Languages, Turing Machines, The Chomsky Hierarchy, P and NP.

Author(s): BYU Computer Science Department

NA Pages

Theory of Computation Lectures

This note covers the following topics: Sets, functions and other preliminaries, Formal Languages, Finite Automata , Regular Expressions, Turing Machines, Context-Free Languages, Rice's Theorem, Time complexity, NP-Completeness, Space Complexity , Log Space, Oracle machines and Turing Reducibility, Probabilistic Complexity, Approximation and Optimisation, Complexity Hierarchy Theorems.

Author(s): UNSW Sydne

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

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

Introduction to Theory of Computation

This is a free textbook for an undergraduate course on the Theory of Computation, which have been teaching at Carleton University since 2002.Topics covered includes: Finite Automata and Regular Languages, Context-Free Languages, Turing Machines and the Church-Turing Thesis, Decidable and Undecidable Languages and Complexity Theory.

Author(s): Anil Maheshwari and ichiel Smid

246 Pages

Theory of Computation

This note covers the following topics: A brief history of computing, Fundamentals, Formal languages and machine models, Computability and undecidability, NP-completeness, Generalized number systems and Cryptography mental poker.

Author(s): Dr. Gabriel Robins

NA Pages

Computation Theory Lecture notes

The aim of this course note is to introduce several apparently different formalisations of the informal notion of algorithm; to show that they are equivalent; and to use them to demonstrate that there are incomputable functions and algorithmically undecidable problems.

Author(s): Prof Anuj Dawar

93 Pages

ConstructiveComputation Theory

This is an executable course note implemented in Pidgin ML, which is a core subset of the Objective Caml programming language under the so-called revised syntax.

Author(s): Gerard Huet

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