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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 
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
Introduction to Theory of Computation by Wikiversity
This note describes the following topics: Finite State Machines, Closure and Nondeterminism, The Pumping Lemma, Minimizing FSMs, Context Free Languages, CFLs and compilers, Recitation, Pushdown Machines, CFGs and NPDMs, CYK algorithm, Undecidability and CFLs, Turing Machines, Halting Problem, Decidability, Complexity Theory, Quantified Boolean Formula, Savitch's Theorem, Space Hierarchy, Recursion Theorem.
Author(s): Wikiversity
NA Pages
Theory of Computation Lecture Notes
This note covers the following topics: Mathematical Perliminaries, Automata Theory, Combinatorics and Graph Theory, DFAs to Regular Expressions- Brzozowski’s Algebraic Method, Myhill-Nerode and DFA Minimization, Group Theory, Turing Machines and Computability Theory, Complexity Theory.
Author(s): Michael Levet
114 Pages
This course is an introduction to the Theory of Computation. Topics covered includes: Background Mathematics, Models of Computation, Context-Free Grammars, Automata, The Chomsky Hierarchy.
Author(s): Konrad Slind
231 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
Introduction to Theoretical Computer Science or Theory of Computation
This note covers the following topics: introduction to theoretical computer science, language, regular language, finite automata, language accepted by dfa, nondeterministic finite automata, equivalence of nfa, regular language and fa, application of fa, nonregular languages, context free languages, turing machines, computability and complexity.
Author(s): Pavan Kumar Anumula, Andrea Di Fabio and Jia Zhu
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
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
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