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CORR
2006
Springer
89views Education» more  CORR 2006»
13 years 7 months ago
Finite-State Dimension and Real Arithmetic
We use entropy rates and Schur concavity to prove that, for every integer k 2, every nonzero rational number q, and every real number , the base-k expansions of , q + , and q all...
David Doty, Jack H. Lutz, Satyadev Nandakumar
CADE
2007
Springer
14 years 7 months ago
Towards Efficient Satisfiability Checking for Boolean Algebra with Presburger Arithmetic
Boolean Algebra with Presburger Arithmetic (BAPA) is a decidable logic that combines 1) Boolean algebra of sets of uninterpreted elements (BA) and 2) Presburger arithmetic (PA). BA...
Viktor Kuncak, Martin C. Rinard
CAV
2012
Springer
227views Hardware» more  CAV 2012»
11 years 9 months ago
Minimum Satisfying Assignments for SMT
Abstract. A minimum satisfying assignment of a formula is a minimumcost partial assignment of values to the variables in the formula that guarantees the formula is true. Minimum sa...
Isil Dillig, Thomas Dillig, Kenneth L. McMillan, A...
CORR
2000
Springer
103views Education» more  CORR 2000»
13 years 7 months ago
Automatic Termination Analysis of Programs Containing Arithmetic Predicates
For logic programs with arithmetic predicates, showing termination is not easy, since the usual order for the integers is not well-founded. A new method, easily incorporated in th...
Nachum Dershowitz, Naomi Lindenstrauss, Yehoshua S...
ARSCOM
2005
64views more  ARSCOM 2005»
13 years 7 months ago
Hamilton Paths in Certain Arithmetic Graphs
For each integer m 1, consider the graph Gm whose vertex set is the set N = {0, 1, 2, . . . } of natural numbers and whose edges are the pairs xy with y = x + m or y = x - m or y...
Paul A. Russell