Lecture Notes of Introduction to the Theory of Computation

Lecture Notes of Introduction to the Theory of Computation

This note exlains the following topics: foundational concepts like strings and DFAs, then progresses to regular expressions, nondeterministic automata, and formal language theory, Advanced topics include Turing machines, decidability, and language-related problems it offers a comprehensive look at formal languages, automata, and computability.

Author(s): Margaret Fleck and Sariel Har Peled

345 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

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

Advanced Theory in Computation

This note covers the following topics: Analysis of Algorithms, String Matching, Amortized Analysis, Knuth-Morris-Pratt Algorithm, Pattern-Matching Machine, Boyer-Moore Algorithm, Horspool Algorithm, Suffix Trees, Dictionary Techniques, Ziv-Lempel Coding, Randomized Algorithms, Reservation-Price-Policy, Portfolio Selection, Statistical Adversaries.

Author(s): Seoul National University

NA 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

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 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

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

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