Title
Generalized Probabilistic Satisfiability.
Abstract
This paper studies the Generalized Probabilistic Satisfiability (GPSAT) problem, where the probabilistic satisfiability problem is extended by allowing Boolean combinations of probabilistic assertions and nested probabilistic formulas. We introduce a normal form for this problem and show that nesting of probabilities does not increase the expressivity in GPSAT. An algorithm to solve GPSAT problems via mixed integer programming is proposed, and its implementation shows evidence of phase-transition phenomena.
Year
DOI
Venue
2013
10.1109/BRACIS.2013.38
Intelligent Systems
Keywords
Field
DocType
mixed integer programming,probabilistic assertion,nested probabilistic formula,normal form,generalized probabilistic satisfiability,paper study,phase-transition phenomenon,boolean combination,probabilistic satisfiability problem,gpsat problem,integer programming,computability,probability
Inductive programming,Boolean satisfiability problem,Probabilistic CTL,Algorithm,Probabilistic analysis of algorithms,Integer programming,Linear programming,Probabilistic logic,Probabilistic argumentation,Mathematics
Conference
Citations 
PageRank 
References 
1
0.36
8
Authors
3
Name
Order
Citations
PageRank
Glauber de Bona1316.59
Fábio G. Cozman2263.45
Marcelo Finger336548.82