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» Arithmetic as a Theory Modulo
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CADE
2011
Springer
12 years 9 months ago
Experimenting with Deduction Modulo
Deduction modulo is a generic framework to describe proofs in a theory better than using raw axioms. This is done by presenting the theory through rules rewriting terms and proposi...
Guillaume Burel
MLQ
2010
148views more  MLQ 2010»
13 years 8 months ago
Abelian groups and quadratic residues in weak arithmetic
We investigate the provability of some properties of abelian groups and quadratic residues in variants of bounded arithmetic. Specifically, we show that the structure theorem for...
Emil Jerábek
AMAI
2007
Springer
13 years 10 months ago
Decision procedures for extensions of the theory of arrays
The theory of arrays, introduced by McCarthy in his seminal paper “Toward a mathematical science of computation”, is central to Computer Science. Unfortunately, the theory alo...
Silvio Ghilardi, Enrica Nicolini, Silvio Ranise, D...
FMCAD
2006
Springer
14 years 1 months ago
Ario: A Linear Integer Arithmetic Logic Solver
Ario is a solver for systems of linear integer arithmetic logic. Such systems are commonly used in design verification applications and are classified under Satisfiability Modulo T...
Hossein M. Sheini, Karem A. Sakallah
APCSAC
2003
IEEE
14 years 3 months ago
Arithmetic Circuits Combining Residue and Signed-Digit Representations
This paper discusses the use of signed-digit representations in the implementation of fast and efficient residue-arithmetic units. Improvements to existing signed-digit modulo adde...
Anders Lindström, Michael Nordseth, Lars Beng...