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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
CADE
2006
Springer
14 years 5 months ago
Solving Sparse Linear Constraints
Linear arithmetic decision procedures form an important part of theorem provers for program verification. In most verification benchmarks, the linear arithmetic constraints are dom...
Shuvendu K. Lahiri, Madanlal Musuvathi
DLT
2008
13 years 6 months ago
The Average State Complexity of the Star of a Finite Set of Words Is Linear
We prove that, for the uniform distribution over all sets X of m (that is a fixed integer) non-empty words whose sum of lengths is n, DX , one of the usual deterministic automata r...
Frédérique Bassino, Laura Giambruno,...
PARLE
1993
13 years 9 months ago
Arithmetic for Parallel Linear Recursive Query Evaluation in Deductive Databases
: An arithmetic approach, such as the Level-Finding method described in this paper for evaluating linear recursive queries in deductive database systems provides great potential fo...
Jerome Robinson, Shutian Lin
CAV
2008
Springer
170views Hardware» more  CAV 2008»
13 years 6 months ago
Efficient Craig Interpolation for Linear Diophantine (Dis)Equations and Linear Modular Equations
Abstract. The use of Craig interpolants has enabled the development of powerful hardware and software model checking techniques. Efficient algorithms are known for computing interp...
Himanshu Jain, Edmund M. Clarke, Orna Grumberg