Abstract
We consider one-way logspace counting classes which are defined via Turing machines that scan their input only in one direction. The one-way logspace counting classes #IL and span-lL are strict subclasses of the corresponding (twoway) logspace classes #L and span-L, resp. We separate the one-way classes 1UL and 1NL which correspond to the classes UL and NL. It follows that F1L #IL span-lL #P. We generalize first-order counting classes to use
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CITATION STYLE
Burtschick, H. J. (1995). Comparing counting classes for logspace, one-way logspace, and first-order. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 969, pp. 139–148). Springer Verlag. https://doi.org/10.1007/3-540-60246-1_120
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