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» Proof and Computation in Geometry
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LICS
1998
IEEE
15 years 10 months ago
On Proofs about Threshold Circuits and Counting Hierarchies
Hierarchies (Extended Abstract) Jan Johannsen Chris Pollett Department of Mathematics Department of Computer Science University of California, San Diego Boston University La Jolla,...
Jan Johannsen, Chris Pollett
FOCS
1992
IEEE
15 years 10 months ago
Proof Verification and Hardness of Approximation Problems
The class PCP(f(n), g(n)) consists of all languages L for which there exists a polynomial-time probabilistic oracle machine that uses O(f(n)) random bits, queries O(g(n)) bits of ...
Sanjeev Arora, Carsten Lund, Rajeev Motwani, Madhu...
ASM
2010
ASM
15 years 9 months ago
A Refinement-Based Correctness Proof of Symmetry Reduced Model Checking
Symmetry reduction is a model checking technique that can help alleviate the problem of state space explosion, by preventing redundant state space exploration. In previous work, we...
Edd Turner, Michael J. Butler, Michael Leuschel
CIE
2010
Springer
15 years 8 months ago
The Limits of Tractability in Resolution-Based Propositional Proof Systems
We study classes of propositional contradictions based on the Least Number Principle (LNP) in the refutation system of Resolution and its generalisations with bounded conjunction, ...
Stefan S. Dantchev, Barnaby Martin
FOCS
2008
IEEE
15 years 7 months ago
Quantum Multi Prover Interactive Proofs with Communicating Provers
We introduce another variant of Quantum MIP, where the provers do not share entanglement, the communication between the verifier and the provers is quantum, but the provers are u...
Michael Ben-Or, Avinatan Hassidim, Haran Pilpel