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» Logic of Proofs for Bounded Arithmetic
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ASIAN
2006
Springer
118views Algorithms» more  ASIAN 2006»
15 years 3 months ago
An Approach to Formal Verification of Arithmetic Functions in Assembly
Abstract. It is customary to write performance-critical parts of arithmetic functions in assembly: this enables finely-tuned algorithms that use specialized processor instructions....
Reynald Affeldt, Nicolas Marti
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
15 years 3 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
APAL
2007
63views more  APAL 2007»
14 years 12 months ago
Bounded functional interpretation and feasible analysis
In this article we study applications of the bounded functional interpretation to theories of feasible arithmetic and analysis. The main results show that the novel interpretation...
Fernando Ferreira, Paulo Oliva
TACAS
2007
Springer
124views Algorithms» more  TACAS 2007»
15 years 5 months ago
Deciding Bit-Vector Arithmetic with Abstraction
ion Randal E. Bryant1 , Daniel Kroening2 , Jo¨el Ouaknine3 , Sanjit A. Seshia4 , Ofer Strichman5 , and Bryan Brady4 1 Carnegie Mellon University, Pittsburgh 2 ETH Z¨urich 3 Oxfor...
Randal E. Bryant, Daniel Kroening, Joël Ouakn...
SIAMCOMP
2000
86views more  SIAMCOMP 2000»
14 years 11 months ago
On the Relative Complexity of Resolution Refinements and Cutting Planes Proof Systems
An exponential lower bound for the size of tree-like cutting planes refutations of a certain family of conjunctive normal form (CNF) formulas with polynomial size resolution refuta...
Maria Luisa Bonet, Juan Luis Esteban, Nicola Gales...