Title
On the parameterized complexity of default logic and autoepistemic logic
Abstract
We investigate the application of Courcelle's Theorem and the logspace version of Elberfeld et al. in the context of the implication problem for propositional sets of formulae, the extension existence problem for default logic, as well as the expansion existence problem for autoepistemic logic and obtain fixed-parameter time and space efficient algorithms for these problems. On the other hand, we exhibit, for each of the above problems, families of instances of a very simple structure that, for a wide range of different parameterizations, do not have efficient fixed-parameter algorithms (even in the sense of the large class XPnu), unless P=NP.
Year
DOI
Venue
2012
10.1007/978-3-642-28332-1_33
language and automata theory and applications
Keywords
DocType
Volume
autoepistemic logic,large class,fixed-parameter time,expansion existence problem,space efficient algorithm,parameterized complexity,extension existence problem,efficient fixed-parameter algorithm,implication problem,different parameterizations,default logic,artificial intelligent,computational complexity
Conference
abs/1110.0623
Citations 
PageRank 
References 
1
0.35
8
Authors
4
Name
Order
Citations
PageRank
Arne Meier112619.00
Johannes Schmidt210.69
Michael Thomas310.35
Heribert Vollmer480571.64