Models of Computation by John E. Savage

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 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

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

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

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

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

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