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» Monotonicity in Calculational Proofs
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FCT
2005
Springer
14 years 27 days ago
On the Incompressibility of Monotone DNFs
We prove optimal lower bounds for multilinear circuits and for monotone circuits with bounded depth. These lower bounds state that, in order to compute certain functions, these cir...
Matthias P. Krieger
CADE
2010
Springer
13 years 6 months ago
Monotonicity Criteria for Polynomial Interpretations over the Naturals
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. In an automated setting, termination tools are concerned with parametric polynomi...
Friedrich Neurauter, Aart Middeldorp, Harald Zankl
NMR
2004
Springer
14 years 21 days ago
Semantics of disjunctive programs with monotone aggregates - an operator-based approach
All major semantics of normal logic programs and normal logic programs with aggregates can be described as fixpoints of the one-step provability operator or of operators that can...
Nikolay Pelov, Miroslaw Truszczynski
ECAI
2010
Springer
13 years 8 months ago
Optimal Tableaux for Conditional Logics with Cautious Monotonicity
Conditional logics capture default entailment in a modal framework in which non-monotonic implication is a first-class citizen, and in particular can be negated and nested. There i...
Lutz Schröder, Dirk Pattinson, Daniel Hausman...
CORR
2008
Springer
143views Education» more  CORR 2008»
13 years 7 months ago
Convergence Thresholds of Newton's Method for Monotone Polynomial Equations
Abstract. Monotone systems of polynomial equations (MSPEs) are systems of fixedpoint equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomia...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...