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FOCS
1992
IEEE
16 years 21 hour ago
Probabilistic Checking of Proofs; A New Characterization of NP
We give a new characterization of NP: the class NP contains exactly those languages L for which membership proofs (a proof that an input x is in L) can be verified probabilisticall...
Sanjeev Arora, Shmuel Safra
FOCS
1992
IEEE
16 years 21 hour ago
Witnesses for Boolean Matrix Multiplication and for Shortest Paths
Abstract Summary of results The subcubic (O(n ) for < 3) algorithms to multiply Boolean matrices do not provide the witnesses; namely, they compute C = AB but if Cij = 1 they d...
Noga Alon, Zvi Galil, Oded Margalit, Moni Naor
FOCS
1992
IEEE
16 years 21 hour ago
Fault Tolerant Graphs, Perfect Hash Functions and Disjoint Paths
Miklós Ajtai, Noga Alon, Jehoshua Bruck, Ro...
FOCS
1992
IEEE
16 years 21 hour ago
Efficient Minimum Cost Matching Using Quadrangle Inequality
Alok Aggarwal, Amotz Bar-Noy, Samir Khuller, Dina ...
FOCS
1992
IEEE
16 years 21 hour ago
Dynamic Half-Space Reporting, Geometric Optimization, and Minimum Spanning Trees
We describe dynamic data structures for half-space range reporting and for maintaining the minima of a decomposable function. Using these data structures, we obtain efficient dyna...
Pankaj K. Agarwal, David Eppstein, Jirí Mat...
157
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MFCS
1994
Springer
16 years 22 hour ago
Empty Alternation
We introduce the notion of empty alternation by investigating alternating automata which are restricted to empty their storage except for a logarithmically space-bounded tape befor...
Klaus-Jörn Lange, Klaus Reinhardt