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On input-revolving deterministic and nondeterministic finite automata

Bensch, Suna (author)
Umeå universitet,Institutionen för datavetenskap
Bordihn, Henning (author)
Institut für Informatik, Universität Potsdam
Holzer, Markus (author)
Institut für Informatik, Universität Giessen
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Kutrib, Martin (author)
Institut für Informatik, Universität Giessen
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 (creator_code:org_t)
2009
2009
English.
In: Information and Computation. - 0890-5401 .- 1090-2651. ; 207, s. 1140-1155
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • We introduce and investigate input-revolving finite automata, which are (nondeterministic) finite state automata with additional ability to shift the remaining part of the input. Three different modes of shifting are considered, namely revolving to the left, revolving to the right, and circular-interchanging. We investigate the computational capacities of these three types of automata and their deterministic variants, comparing any of the six classes of automata with each other and with further classes of well-known automata. In particular, it is shown that nondeterminism is better than determinism, that is, for all three modes of shifting there is a language accepted by the nondeterministic model but not accepted by any determinstic automaton of the same type. Concerning the closure properties most of the deterministic language families studied are not closed under standard operations. For example, we show that the family of languages accepted by deterministic right-revolving finite automata is an anti-AFL which is not closed under reversal and intersection.

Subject headings

NATURVETENSKAP  -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)
NATURAL SCIENCES  -- Computer and Information Sciences -- Computer Sciences (hsv//eng)

Keyword

Extended finite automata
Formal language operations
Computational power
Closure properties
Anti-abstract family of languages

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ref (subject category)
art (subject category)

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Bensch, Suna
Bordihn, Henning
Holzer, Markus
Kutrib, Martin
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NATURAL SCIENCES
NATURAL SCIENCES
and Computer and Inf ...
and Computer Science ...
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Umeå University

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