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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.
Michael Fredric Sipser (born September 17, 1954) is an American theoretical computer scientist who has made early contributions to computational complexity theory. He is a professor of applied mathematics and was the dean of science at the Massachusetts Institute of Technology .
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 ...
The following discussion is based on Michael Sipser's textbook Introduction to the Theory of Computation. [2] In more detail, the idea is that the string along the top and bottom will be a computation history of the Turing machine's computation. This means it will list a string describing the initial state, followed by a string describing the ...
NFAs were introduced in 1959 by Michael O. Rabin and Dana Scott, [2] who also showed their equivalence to DFAs. NFAs are used in the implementation of regular expressions : Thompson's construction is an algorithm for compiling a regular expression to an NFA that can efficiently perform pattern matching on strings.
To show that NL is contained in C, we simply take an NL algorithm and choose a random computation path of length n, and execute this 2 n times. Because no computation path exceeds length n, and because there are 2 n computation paths in all, we have a good chance of hitting the accepting one (bounded below by a constant).
Michael Sipser (1997). Introduction to the Theory of Computation. PWS Publishing. ISBN 0-534-94728-X. Section 10.2.1: The class BPP, pp. 336–339. Karpinski, Marek; Verbeek, Rutger (1987a). "Randomness, provability, and the separation of Monte Carlo time and space". In Börger, Egon (ed.). Computation Theory and Logic, In Memory of Dieter ...
CSE431: Introduction to Theory of Computation. University of Washington. Archived (PDF) from the original on November 29, 2021; Rich, Elaine (2008). Automata, Computability and Complexity: Theory and Applications (PDF). Prentice Hall. ISBN 978-0132288064. Archived (PDF) from the original on January 21, 2022. Sipser, Michael (2006).