Presentation 1995/4/21
Alternation for Two-Way (Inkdot) Multi-Counter Automata with Sublinear Space
Tsunehiro Yoshinaga, Katsushi Inoue,
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Abstract(in English) This paper investigates an alternation hierarchy of alternating multi-counter automata (amca's) and some fundamental properties of 1-inkdot amca's which have sublinear space. We first show that for each k≥1, an alternation hierarchy of alternating k-counter automata (aca(k)'s) with sublinear space is infinite. We then investigate a relationship between the accepting powers of amca's with and without 1 inkdot. We show, for example, that for each k, l≥1, sublinear space-bounded two-way aca(k)'s making at most l-1 alternations with the initial state existential (universal) which have 1 inkdot are more powerful than those which have no inkdots. We finally investigate an alternation hierarchy on the first level of two-way 1-inkdot amca's, and show, for example, that for each k≥1, sublinear space-bounded two-way 1-inkdot aca(k)'s with only existential states are incomparable with the ones with only universal states.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) alternating automata / multi-counter automata / two-way 1-inkdot automata / alternation hierarchy / sublinear space / computational complexity
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Committee COMP
Conference Date 1995/4/21(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Alternation for Two-Way (Inkdot) Multi-Counter Automata with Sublinear Space
Sub Title (in English)
Keyword(1) alternating automata
Keyword(2) multi-counter automata
Keyword(3) two-way 1-inkdot automata
Keyword(4) alternation hierarchy
Keyword(5) sublinear space
Keyword(6) computational complexity
1st Author's Name Tsunehiro Yoshinaga
1st Author's Affiliation Department of Information and Electronics Engineering Tokuyama College of Technology()
2nd Author's Name Katsushi Inoue
2nd Author's Affiliation Department of Information and Electronics Engineering Tokuyama College of Technology
Date 1995/4/21
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Volume (vol) vol.95
Number (no) 13
Page pp.pp.-
#Pages 10
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