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AMAI
2006
Springer
13 years 4 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 9 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 7 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 2 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»
12 years 11 months 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