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» Logic of Proofs for Bounded Arithmetic
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STOC
2010
ACM
168views Algorithms» more  STOC 2010»
15 years 9 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
JAIR
2011
166views more  JAIR 2011»
14 years 6 months ago
Decidability and Undecidability Results for Propositional Schemata
We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions (e.g., pi) and iterated connectives ∨ or ∧ ranging over i...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
SAC
2006
ACM
14 years 11 months ago
Assisted verification of elementary functions using Gappa
The implementation of a correctly rounded or interval elementary function needs to be proven carefully in the very last details. The proof requires a tight bound on the overall er...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
KRDB
2001
110views Database» more  KRDB 2001»
15 years 1 months ago
Path Constraints from a Modal Logic Point of View
We analyze several classes of path constraints for semistructured data in a unified framework and prove some decidability and complexity results for these constraints by embedding...
Natasha Alechina, Stéphane Demri, Maarten d...
CSFW
2012
IEEE
13 years 2 months ago
Generic Indifferentiability Proofs of Hash Designs
—In this paper, we propose a formal analysis of domain extenders for hash functions in the indifferentiability framework. We define a general model for domain extenders and prov...
Marion Daubignard, Pierre-Alain Fouque, Yassine La...