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Sublogarithmic Space-Bounded Multi-Inkdot Alternating Turing Machines with Only Existential (Universal) States

Published: 01 May 2006 Publication History

Abstract

This paper investigates the accepting powers of two-way alternating Turing machines (2ATM's) with only existential (universal) states which have inkdots and sublogarithmic space. It is shown that for sublogarithmic space-bounded computations, (i) multi-inkdot 2ATM's with only existential states and the ones with only universal states are incomparable, (ii) k-inkdot 2ATM's are better than k-inkdot 2ATM's with only existential (universal) states, k ≥ 0, and (iii) the class of sets accepted by multi-inkdot 2ATM's with only existential (universal) states is not closed under complementation.

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  1. Sublogarithmic Space-Bounded Multi-Inkdot Alternating Turing Machines with Only Existential (Universal) States

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    Published In

    cover image IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences  Volume E89-A, Issue 5
    May 2006
    363 pages

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    Oxford University Press, Inc.

    United States

    Publication History

    Published: 01 May 2006

    Author Tags

    1. alternating Turing machines
    2. complementation
    3. multi-inkdot Turing machines
    4. sublogarithmic space complexity

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