ReachFewL = ReachUL

We show that two complexity classes introduced about two decades ago are unconditionally equal. ReachUL is the class of problems decided by nondeterministic log-space machines which on every input have at most one computation path from the start configuration to any other configuration. ReachFewL, a...

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Veröffentlicht in:Computational complexity 2014-03, Vol.23 (1), p.85-98
Hauptverfasser: Garvin, Brady, Stolee, Derrick, Tewari, Raghunath, Vinodchandran, N. V.
Format: Artikel
Sprache:eng
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Zusammenfassung:We show that two complexity classes introduced about two decades ago are unconditionally equal. ReachUL is the class of problems decided by nondeterministic log-space machines which on every input have at most one computation path from the start configuration to any other configuration. ReachFewL, a natural generalization of ReachUL, is the class of problems decided by nondeterministic log-space machines which on every input have at most polynomially many computation paths from the start configuration to any other configuration. We show that ReachFewL = ReachUL.
ISSN:1016-3328
1420-8954
DOI:10.1007/s00037-012-0050-8