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TACAS
2005
Springer
113views Algorithms» more  TACAS 2005»
15 years 11 months ago
Applications of Craig Interpolants in Model Checking
Abstract. A Craig interpolant for a mutually inconsistent pair of formulas (A, B) is a formula that is (1) implied by A, (2) inconsistent with B, and (3) expressed over the common ...
Kenneth L. McMillan
COMPGEOM
2004
ACM
15 years 11 months ago
The geometric thickness of low degree graphs
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
Christian A. Duncan, David Eppstein, Stephen G. Ko...
COCOON
2003
Springer
15 years 11 months ago
The Complexity of Boolean Matrix Root Computation
Abstract. We show that finding roots of Boolean matrices is an NPhard problem. This answers a twenty year old question from semigroup theory. Interpreting Boolean matrices as dire...
Martin Kutz
CCL
1994
Springer
15 years 10 months ago
How to Win a Game with Features
We employ the model-theoretic method of Ehrenfeucht-Fra sse Games to prove the completeness of the theory CFT, which has been introduced in 22] for describing rational trees in a ...
Rolf Backofen, Ralf Treinen
STOC
1989
ACM
99views Algorithms» more  STOC 1989»
15 years 10 months ago
A Random Polynomial Time Algorithm for Approximating the Volume of Convex Bodies
We present a randomised polynomial time algorithm for approximating the volume of a convex body K in n-dimensional Euclidean space. The proof of correctness of the algorithm relie...
Martin E. Dyer, Alan M. Frieze, Ravi Kannan