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The theory of computation can be considered the creation of models of all kinds in the field of computer science. Therefore, mathematics and logic are used. In the last century, it separated from mathematics and became an independent academic discipline with its own conferences such as FOCS in 1960 and STOC in 1969, and its own awards such as the IMU Abacus Medal (established in 1981 as the ...
In theoretical computer science, the theory of computation is the branch that deals with whether and how efficiently problems can be solved on a model of computation, using an algorithm. The field is divided into three major branches: automata theory , computability theory and computational complexity theory .
In the theory of computation, a branch of theoretical computer science, a pushdown automaton (PDA) is a type of automaton that employs a stack. Pushdown automata are used in theories about what can be computed by machines. They are more capable than finite-state machines but less capable than Turing machines (see below).
A finite-state automaton from automata theory, a branch of theoretical computer science.. Theoretical computer science is a subfield of computer science and mathematics that focuses on the abstract and mathematical foundations of computation.
An Introduction to the Theory of Computation, Chapter 4, Post's Correspondence Problem. A proof of the undecidability of PCP based on Chomsky type-0 grammars. Dong, Jing. "The Analysis and Solution of a PCP Instance." 2012 National Conference on Information Technology and Computer Science.
Computability theory is the part of the theory of computation that deals with what can be computed, in principle. Computational complexity theory deals with how hard computations are, in quantitative terms, both with upper bounds ( algorithms whose complexity in the worst cases, as use of computing resources, can be estimated), and from below ...
Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees. The field has since expanded to include the study of generalized computability and definability.
Introduction to the Theory of Computation (ISBN 0-534-95097-3) is a textbook in theoretical computer science, written by Michael Sipser and first published by PWS Publishing in 1997. [1] The third edition apppeared in July 2012.