SIAM Journal on Computing · 2000 · 105 citations · 24 references
Computational Complexity TheoryEngineeringComplexity ClassesComputational ComplexitySemanticsNonuniform ComplexityNonmonotonic LogicDescriptional ComplexityDiscrete MathematicsContext-free LanguagesLanguage StudiesNondeterminism UnambiguousAbstract ComplexityComputer ScienceFormal MethodsTime ComplexityPhilosophical InquiryLinguisticsTheoretical LinguisticsComputability Theory
We show that in the context of nonuniform complexity, nondeterministic logarithmic space bounded computation can be made unambiguous. An analogous result holds for the class of problems reducible to context-free languages. In terms of complexity classes, this can be stated as NL/poly = UL/poly,\\ LogCFL/poly = UAuxPDA($\log n, n^{O(1)}$)/poly.
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Noam Nisan, Avi Wigderson · Journal of Computer and System Sciences · 1994 · 810 citations
Matching is as easy as matrix inversion
Ketan Mulmuley, Umesh Vazirani, Vijay V. Vazirani · COMBINATORICA · 1987 · 384 citations