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Unambiguous Functions in Logarithmic Space

Published: 01 April 2012 Publication History

Abstract

We investigate different variants of unambiguity in the context of computing multi-valued functions. We propose a modification to the standard computation models of Turing machines and configuration graphs, which allows for unambiguity-preserving composition. We define a notion of reductions (based on function composition), which allows nondeterminism but controls its level of ambiguity. In light of this framework we establish reductions between different variants of path counting problems. We obtain improvements of results related to inductive counting.

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    Published In

    cover image Fundamenta Informaticae
    Fundamenta Informaticae  Volume 114, Issue 2
    April 2012
    114 pages

    Publisher

    IOS Press

    Netherlands

    Publication History

    Published: 01 April 2012

    Author Tags

    1. Logarithmic Space
    2. Nondeterminism
    3. Reduction
    4. Unambiguity

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