Polynomial Space and Transitive Closure

Name: Polynomial Space and Transitive Closure
Creator: Book, Ronald V.
Keywords: Complexity of computation (including implicit computational complexity), transitive closure, homomorphic replication, intersection, Analysis of algorithms and problem complexity, polynomial space, regular sets, 0202 electrical engineering, electronic engineering, information engineering, 0102 computer and information sciences, 02 engineering and technology

Book, Ronald V.

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SIAM Journal on Computing

Article . 1979 . Peer-reviewed

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https://dx.doi.org/10.1137/020...

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Polynomial Space and Transitive Closure

Polynomial space and transitive closure

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1979 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Computing, volume 8, pages 434-439 (issn: 0097-5397, eissn: 1095-7111,

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Authors: Book, Ronald V.;

doi: 10.1137/0208035

Polynomial Space and Transitive Closure

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Abstract

A characterization of PSPACE in terms of the regular sets and certain algebraic closure operations is developed. It is shown that NP = PSPACE if and only if NP is closed under a form of the transitive closure operation.

Keywords

Complexity of computation (including implicit computational complexity), transitive closure, homomorphic replication, intersection, Analysis of algorithms and problem complexity, polynomial space, regular sets

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