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» The complexity of Boolean formula minimization
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JACM
2002
122views more  JACM 2002»
13 years 7 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
JAR
2006
236views more  JAR 2006»
13 years 7 months ago
Deciding 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
ICLP
2001
Springer
14 years 2 days ago
Alternating Fixed Points in Boolean Equation Systems as Preferred Stable Models
We formally characterize alternating fixed points of boolean equation systems as models of (propositional) normal logic programs. To this end, we introduce the notion of a preferr...
K. Narayan Kumar, C. R. Ramakrishnan, Scott A. Smo...
ENTCS
2008
102views more  ENTCS 2008»
13 years 7 months ago
Soft Linear Logic and Polynomial Complexity Classes
We describe some results inspired to Lafont's Soft Linear Logic (SLL) which is a subsystem of second-order linear logic with restricted rules for exponentials, correct and co...
Marco Gaboardi, Jean-Yves Marion, Simona Ronchi De...
IJCAI
2007
13 years 9 months ago
Counting Complexity of Propositional Abduction
Abduction is an important method of non-monotonic reasoning with many applications in artificial intelligence and related topics. In this paper, we concentrate on propositional ab...
Miki Hermann, Reinhard Pichler