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CAV
2009
Springer
123views Hardware» more  CAV 2009»
13 years 9 months ago
On Using Floating-Point Computations to Help an Exact Linear Arithmetic Decision Procedure
We consider the decision problem for quantifier-free formulas whose atoms are linear inequalities interpreted over the reals or rationals. This problem may be decided using satisf...
David Monniaux
JSC
2006
147views more  JSC 2006»
13 years 5 months ago
An algorithm to solve integer linear systems exactly using numerical methods
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...
Zhendong Wan
SODA
1998
ACM
114views Algorithms» more  SODA 1998»
13 years 6 months ago
Exact Arithmetic at Low Cost - A Case Study in Linear Programming
We describe a new exact-arithmetic approach to linear programming when the number of variables n is much larger than the number of constraints m (or vice versa). The algorithm is ...
Bernd Gärtner
COMPGEOM
2001
ACM
13 years 8 months ago
Computing a 3-dimensional cell in an arrangement of quadrics: exactly and actually!
We present two approaches to the problem of calculating a cell in a 3-dimensional arrangement of quadrics. The first approach solves the problem using rational arithmetic. It work...
Nicola Geismann, Michael Hemmer, Elmar Schöme...
DAC
1996
ACM
13 years 9 months ago
Bit-Level Analysis of an SRT Divider Circuit
Abstract-- It is impractical to verify multiplier or divider circuits entirely at the bit-level using ordered Binary Decision Diagrams (BDDs), because the BDD representations for t...
Randal E. Bryant