Feasible Computations and Provable Complexity Properties

Name: Feasible Computations and Provable Complexity Properties
Brand: Society for Industrial & Applied Mathematics,U.S.
SKU: 9780898710274
Price: 39.88 EUR
Availability: InStock

Автор: Juris Hartmanis

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Корици: С меки корици

Издател: Society for Industrial & Applied Mathematics,U.S.

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An overview of current developments in research on feasible computations; and a consideration of thi...

Информация за книгата

Автор

Juris Hartmanis

Език

Английски език

Корици

Книга - С меки корици

страници

EAN

9780898710274

ISBN

0898710278

Enbook ID

02049972

Издател

Society for Industrial & Applied Mathematics,U.S.

Теглоt

128

Размери

170 x 229 x 8

Пълно описание

An overview of current developments in research on feasible computations; and a consideration of this area of research in relation to provable properties of complexity of computations. The author begins by defining and discussing efficient reductions between problems and considers the families and corresponding complete languages of NL, DCSL, CSL, P, NP, PTAPE, EXPTIME, and EXPTAPE. Definitions and results are uniformly extended to computationally simpler natural families of languages such as NL, P, and CSL by using Log n-tape bounded reductions. The problem of determining what can and cannot be formally proven about running times of algorithms is discussed and related to the problem of establishing sharp time bounds for one-tape Turing machine computations, and the inability to formally prove running times for algorithms is then related to the presence of gaps in the hierarchy of complexity classes.

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