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» Logic of Proofs for Bounded Arithmetic
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STOC
2010
ACM
168views Algorithms» more  STOC 2010»
16 years 2 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 11 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
15 years 4 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 6 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 7 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...