1.

Record Nr.

UNISA996466112903316

Autore

Szepietowski Andrzej

Titolo

Turing Machines with Sublogarithmic Space [[electronic resource] /] / by Andrzej Szepietowski

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994

ISBN

3-540-48669-0

Edizione

[1st ed. 1994.]

Descrizione fisica

1 online resource (VIII, 114 p.)

Collana

Lecture Notes in Computer Science, , 0302-9743 ; ; 843

Disciplina

511.3

Soggetti

Computer logic

Mathematical logic

Logics and Meanings of Programs

Mathematical Logic and Formal Languages

Mathematical Logic and Foundations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Basic Notions -- Languages acceptable with logarithmic space -- Examples of languages acceptable with sublogarithmic space -- Lower bounds for accepting non-regular languages -- Space constructible functions -- Halting property and closure under complement -- Strong versus weak mode of space complexity -- Padding -- Deterministic versus nondeterministic Turing machines -- Space hierarchy -- Closure under concatenation -- Alternating hierarchy -- Independent complement -- Other models of Turing machines.

Sommario/riassunto

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.