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 
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
Theory of Computation by Jim Hefferon
This PDF covers the following topics related to Theory of Computation : Mechanical Computation, Background, Languages and graphs, Automata, Computational Complexity.
Author(s): Jim Hefferon
439 Pages
Models of Computation by John E. Savage
This PDF Models of Computation by John E. Savage covers the following topics related to Computation Theory : The Role of Theory in Computer Science, General Computational Models, Logic Circuits, Machines with Memory, Finite-State Machines and Pushdown Automata, Computability, Algebraic and Combinatorial Circuits, Parallel Computation, Computational Complexity, Complexity Classes, Circuit Complexity, Space–Time Tradeoffs, Memory-Hierarchy Tradeoffs, VLSI Models of Computation.
Author(s): John E. Savage, Brown University
698 Pages
Introduction to Theory of Computation Lecture Notes
This note explains the following topics: Discrete mathematics, Deterministic Finite Automata, Nondeterministic Finite Automata, Equivalence of DFA and NFA, Nondeterministic Finite Auotmata, egular expressions and finite automata, Non-regular languages and Pumping Lemma, Myhill-Nerode Theorem, Context-free languages and Ambiguity, Closure Properties, Pumping Lemma and non-CFLs, Closure Properties and non-CFL Languages, Decidable and Recognizable Languages.
Author(s): Mahesh Viswanathan
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
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
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
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