This note contains the following topics: Introduction, Basics of Formal Language Theory, Hidden Markov Models HMMs, RAM Programs, Turing Machines, Universal RAM Programs and the Halting Problem, Elementary Recursive Function Theory, Primality Testing is in NP

**Author(s):** Jean Gallier-University of
Pennsylvania

This lecture notes contains following topics: Lecture Notes and Exercises for CSC, Overview of this Course, Prerequisite Knowledge, The Induction Idea, Complete Induction, Beyond Numbers, Structural Induction, A Larger Example, Exercises, Measuring Runtime, A Simple Recursive Function, A Special Recurrence Form, Quicksort, Exercises, Correctness of Recursive Programs, Iterative Programs, Termination, Exercises, Regular Languages, A Suggestive Flowchart, Deterministic Finite Automata, Correctness of DFAs, Limitations of DFAs, Nondeterminism, Exercises, introduction to the theory of computation, Concepts from MAT, introduction to the theory of computation

**Author(s):** David Liu Toronto
University

This note covers the following topics: Properties of binary operations, Concantenation properties, Finite automata, Formal Languages, Pumping Lemma.

**Author(s):** S R Engineering College

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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