81 search results - page 4 / 17 » Rewrite Systems for Integer Arithmetic |
ARITH
2005
IEEE
15 years 3 months ago
2005
IEEE
We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The socalled Polynomial Modular Number System (PMNS) allows for fast polyn...
RTA
2010
Springer
14 years 8 months ago
2010
Springer
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. They come in various flavors: polynomial interpretations with real, rational and...
CAV
2008
Springer
14 years 12 months ago
2008
Springer
We consider an extension of integer linear arithmetic with a "star" operator takes closure under vector addition of the solution set of a linear arithmetic subformula. We...
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JSC
2006
14 years 10 months ago
2006
In this paper, we present a new algorithm for the exact solutions of linear systems with integer coefficients using numerical methods. It terminates with the correct answer in wel...
LPAR
2010
Springer
14 years 7 months ago
2010
Springer
Abstract. We present a novel way for reasoning about (possibly ir)rational quantifier-free non-linear arithmetic by a reduction to SAT/SMT. The approach is incomplete and dedicated...