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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 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
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
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
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
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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