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CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 5 months ago
Q-adic Transform revisited
We present an algorithm to perform a simultaneous modular reduction of several residues. This enables to compress polynomials into integers and perform several modular operations ...
Jean-Guillaume Dumas
CHARME
2003
Springer
103views Hardware» more  CHARME 2003»
13 years 10 months ago
Linear and Nonlinear Arithmetic in ACL2
Abstract. As of version 2.7, the ACL2 theorem prover has been extended to automatically verify sets of polynomial inequalities that include nonlinear relationships. In this paper w...
Warren A. Hunt Jr., Robert Bellarmine Krug, J. Str...
CORR
2008
Springer
106views Education» more  CORR 2008»
13 years 5 months ago
Modular difference logic is hard
In connection with machine arithmetic, we are interested in systems of constraints of the form x + k y + k . Over integers, the satisfiability problem for such systems is polynomi...
Nikolaj Bjørner, Andreas Blass, Yuri Gurevi...
CORR
2008
Springer
162views Education» more  CORR 2008»
13 years 5 months ago
Compressed Modular Matrix Multiplication
Matrices of integers modulo a small prime can be compressed by storing several entries into a single machine word. Modular addition is performed by addition and possibly subtracti...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy