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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 ...
In computational complexity theory, a log-space computable function is a function : that requires only () memory to be computed (this restriction does not apply to the size of the output). The computation is generally done by means of a log-space transducer .
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 ...
The definition of NP uses the existential mode of computation: if any choice leads to an accepting state, then the whole computation accepts. The definition of co-NP uses the universal mode of computation: only if all choices lead to an accepting state does the whole computation accept. An alternating Turing machine (or to be more precise, the ...
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). Introduction to the Theory of Computation (PDF) (2nd ed.). USA: Thomson Course Technology. ISBN 0-534-95097-3. Archived from the original (PDF) on February 7, 2022.
In the theory of computation, a generalized nondeterministic finite automaton (GNFA), also known as an expression automaton or a generalized nondeterministic finite state machine, is a variation of a nondeterministic finite automaton (NFA) where each transition is labeled with any regular expression. The GNFA reads blocks of symbols from the ...