Feasible Computations and Provable Complexity Properties: 30 (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 30) - Softcover

Hartmanis, Juris

 
9780898710274: Feasible Computations and Provable Complexity Properties: 30 (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 30)
Softcover
ISBN 10: 0898710278 ISBN 13: 9780898710274
Publisher: Society for Industrial and Applied Mathematics, 1987

Synopsis

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.

"synopsis" may belong to another edition of this title.

Book Description

An overview of current developments in research on feasible computations. Defines and discusses efficient reductions between problems and considers the families and corresponding complete languages of NL, DCSL, CSL, P, NP, PTAPE, EXPTIME, and EXPTAPE.

"About this title" may belong to another edition of this title.

Publisher
Society for Industrial and Applied Mathematics
Publication date
1987
Language
English
ISBN 10 
0898710278
ISBN 13 
9780898710274
Binding
Paperback
Number of pages
70