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Item Details
Title: FEASIBLE MATHEMATICS II
By: Peter Clote (Editor), Jeffrey B. Remmel (Editor)
Format: Hardback

List price: £22.00


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ISBN 10: 3764336757
ISBN 13: 9783764336752
Publisher: BIRKHAUSER VERLAG AG
Series: Progress in Theoretical Computer Science v. 13
Pages: 456
Description: The purpose of the workshop on which this volume is based was to carry on the work of the 1st Feasible Mathematics Workshop, held in 1989. This volume contains contributions to feasible mathematics in three areas: computational complexity theory, proof theory and algebra.
Synopsis: In computational applications, an algorithm may solve a given problem, but be "infeasible" in practice because it requires large time and space resources. A "feasible" algorithm requires a "small" amount of time and/or memory and can be implemented on an abstract computational device such as a Turing machine or a boolean circuit. In investigating feasible algorithms, a wide variety of tools from combinatorics, logic, computational complexity theory and algebra can be employed. The purpose of the workshop on which this volume is based was to carry on the work of the first "Feasible Mathematics" workshop, held in 1989. Both workshops were held at Cornell University and sponsored by the University and Mathematics Sciences Institute. This volume contains contributions to feasible mathematics in three areas: computational complexity theory, proof theory and algebra, with substantial overlap between different fields.Among the topics covered are: boolean circuit lower bounds, novel characteristics of various boolean and sequential complexity classes, fixed-parameter tractability, higher order feasible functionals, higher order programs related to Plotkin's PCF, combinatorial proofs of feasible length, bounded arithmetic, feasible interpretations, polynomial time categoricity, and algebraic properties of finitely generated recursively enumerable algebras.
Illustrations: 4 illustrations
Publication: Switzerland
Imprint: Birkhauser Verlag AG
Returns: Non-returnable
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