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CADE
2005
Springer
14 years 7 months ago
An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
CONCUR
1998
Springer
13 years 11 months ago
Algebraic Techniques for Timed Systems
Performance evaluation is a central issue in the design of complex real-time systems. In this work, we propose an extension of socalled "Max-Plus" algebraic techniques to...
Albert Benveniste, Claude Jard, Stephane Gaubert
BSL
2004
110views more  BSL 2004»
13 years 7 months ago
Notes on quasiminimality and excellence
This paper ties together much of the model theory of the last 50 years. Shelah's attempts to generalize the Morley theorem beyond first order logic led to the notion of excel...
John T. Baldwin
COMPGEOM
2004
ACM
14 years 27 days ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir
CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 7 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard