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.
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.
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.
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.
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.
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.
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.
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.
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.