Advanced Theory in Computation

Theory of Computation by Kyle Burke

This pdf begins with an overview of resources, organization and motivation and preview of CS theory covering the Limits of Computation, the Undecidability of the Halting Problem.The Automata and Machines including Deterministic and Nondeterministic Finite-state Automata, Pushdown Automata, and Turing Machines and Language Classes. Finally focus shifts to Computational Complexity, discussing NP-Completeness, Approximation Algorithms, and the Hardness of Approximation.

Author(s): Kyle Burke

114 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 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

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

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 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

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

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