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Unambiguous Functions in Logarithmic Space

Herman G., Soltys M.

Fundamenta Informaticae

2012

Vol. 114, nr 2

129-147

We investigate different variants of unambiguity in the context of computingmulti-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.