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» Third-Order Computation and Bounded Arithmetic
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COCO
2008
Springer
74views Algorithms» more  COCO 2008»
13 years 9 months ago
Lower Bounds and Separations for Constant Depth Multilinear Circuits
We prove an exponential lower bound for the size of constant depth multilinear arithmetic circuits computing either the determinant or the permanent (a circuit is called multiline...
Ran Raz, Amir Yehudayoff
CONCUR
2010
Springer
13 years 6 months ago
On the Use of Non-deterministic Automata for Presburger Arithmetic
Abstract. A well-known decision procedure for Presburger arithmetic uses deterministic finite-state automata. While the complexity of the decision procedure for Presburger arithme...
Antoine Durand-Gasselin, Peter Habermehl
TCC
2009
Springer
184views Cryptology» more  TCC 2009»
14 years 8 months ago
Secure Arithmetic Computation with No Honest Majority
We study the complexity of securely evaluating arithmetic circuits over finite rings. This question is motivated by natural secure computation tasks. Focusing mainly on the case o...
Yuval Ishai, Manoj Prabhakaran, Amit Sahai
CADE
2008
Springer
14 years 7 months ago
Proving Bounds on Real-Valued Functions with Computations
Interval-based methods are commonly used for computing numerical bounds on expressions and proving inequalities on real numbers. Yet they are hardly used in proof assistants, as th...
Guillaume Melquiond
LOGCOM
2010
120views more  LOGCOM 2010»
13 years 6 months ago
Arithmetical Complexity of First-order Predicate Fuzzy Logics Over Distinguished Semantics
All promiment examples of first-order predicate fuzzy logics are undecidable. This leads to the problem of the arithmetical complexity of their sets of tautologies and satisfiab...
Franco Montagna, Carles Noguera