Title
Model checking the first-order fragment of higher-order fixpoint logic
Abstract
We present a model checking algorithm for HFL1, the firstorder fragment of Higher-Order Fixpoint Logic. This logic is capable of expressing many interesting properties which are not regular and, hence, not expressible in the modal µ-calculus. The algorithm avoids best-case exponential behaviour by localising the computation of functions and can be implemented symbolically using BDDs. We show how insight into the behaviour of this procedure, when run on a fixed formula, can be used to obtain specialised algorithms for particular problems. This yields, for example, the competitive antichain algorithm for NFA universality but also a new algorithm for a string matching problem.
Year
DOI
Venue
2007
10.1007/978-3-540-75560-9_7
LPAR
Keywords
Field
DocType
first-order fragment,higher-order fixpoint logic,specialised algorithm,exponential behaviour,algorithm avoids,fixed formula,nfa universality,model checking algorithm,firstorder fragment,new algorithm,competitive antichain algorithm,higher order,model checking,string matching,first order
String searching algorithm,Modal μ-calculus,Antichain,Model checking,Computer science,Algorithm,Theoretical computer science,Modal logic,Fixed point,Tree automaton,Computation
Conference
Volume
ISSN
ISBN
4790
0302-9743
3-540-75558-6
Citations 
PageRank 
References 
5
0.46
10
Authors
2
Name
Order
Citations
PageRank
Roland Axelsson1493.44
Martin Lange2342.63