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AMAI
2006
Springer
13 years 5 months ago
A generalization of the Lin-Zhao theorem
The theorem on loop formulas due to Fangzhen Lin and Yuting Zhao shows how to turn a logic program into a propositional formula that describes the program's stable models. In...
Paolo Ferraris, Joohyung Lee, Vladimir Lifschitz
ICLP
2003
Springer
13 years 11 months ago
Loop Formulas for Disjunctive Logic Programs
Abstract. We extend Clark’s definition of a completed program and the definition of a loop formula due to Lin and Zhao to disjunctive logic programs. Our main result, generaliz...
Joohyung Lee, Vladimir Lifschitz
JOTA
2011
97views more  JOTA 2011»
12 years 8 months ago
Generalized Variational Relation Problems with Applications
In this paper, we first obtain an existence theorem of the solutions for a variational relation problem. An existence theorem for a variational inclusion problem, a KKM theorem wi...
Mircea Balaj, Lai-Jiu Lin
EUSFLAT
2009
171views Fuzzy Logic» more  EUSFLAT 2009»
13 years 3 months ago
Convergence Theorems for Generalized Random Variables and Martingales
We examine generalizations of random variables and martingales. We prove a new convergence theorem for setvalued martingales. We also generalize a well known characterization of se...
Andrew L. Pinchuck
TIT
2010
81views Education» more  TIT 2010»
13 years 14 days ago
Generalizing capacity: new definitions and capacity theorems for composite channels
We consider three capacity definitions for composite channels with channel side information at the receiver. A composite channel consists of a collection of different channels with...
Michelle Effros, Andrea J. Goldsmith, Yifan Liang