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Turing Machines with Sublogarithmic Space : Ernst Schering Research Foundation Workshops - Andrzej Szepietowski

Turing Machines with Sublogarithmic Space

Ernst Schering Research Foundation Workshops

Paperback Published: 29th August 1994
ISBN: 9783540583554
Number Of Pages: 114

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This comprehensive monograph investigates the computational power of Turing machines with sublogarithmic space. The studies are devoted to the Turing machine model introduced by Stearns, Hartmanis, and Lewis (1965) with a two-way read-only input tape and a separate two-way read-write work tape. The book presents the key results on space complexity, also as regards the classes of languages acceptable, under the perspective of a sublogarithmic number of cells used during computation. It originates from courses given by the author at the Technical University of Gdansk and Gdansk University in 1991 and 1992. It was finalized in 1994 when the author visited Paderborn University and includes the most recent contributions to the field.

Introductionp. 1
Basic Notionsp. 7
Languages Acceptable with Logarithmic Spacep. 15
Examples of Languages Acceptable with Sublogarithmic Spacep. 21
Lower Bounds for Accepting Non-regular Languagesp. 27
Space Constructible Functionsp. 37
Halting Property and Closure under Complementp. 47
Strong versus Weak Mode of Space Complexityp. 61
Paddingp. 67
Deterministic versus Nondeterministic Turing Machinesp. 77
Space Hierarchyp. 81
Closure under Concatenationp. 85
Alternating Hierarchyp. 89
Independent Complementp. 95
Other Models of Turing Machinesp. 99
Referencesp. 111
Subject Indexp. 113
Symbol Indexp. 115
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540583554
ISBN-10: 3540583556
Series: Ernst Schering Research Foundation Workshops
Audience: General
Format: Paperback
Language: English
Number Of Pages: 114
Published: 29th August 1994
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.71
Weight (kg): 0.2