Title
Kleene, Rabin, and Scott are available
Abstract
We are concerned with the availability of systems, defined as the ratio between time of correct functioning and uptime. We propose to model guaranteed availability in terms of regular availability expressions (rae) and availability automata. We prove that the intersection problem of rae is undecidable. We establish a Kleene theorem that shows the equivalence of the formalisms and states precise correspondence of flat rae and simple availability automata. For these automata, we provide an extension of the powerset construction for finite automata due to Rabin and Scott. As a consequence, we can state a complementation algorithm. This enables us to solve the synthesis problem and to reduce model checking of availability properties to reachability.
Year
DOI
Venue
2010
10.1007/978-3-642-15375-4_32
CONCUR
Keywords
Field
DocType
complementation algorithm,model checking,intersection problem,simple availability automaton,regular availability expression,kleene theorem,flat rae,synthesis problem,availability property,availability automaton,finite automata
Quantum finite automata,Discrete mathematics,Model checking,Expression (mathematics),Computer science,Automaton,Finite-state machine,Reachability,Equivalence (measure theory),Undecidable problem
Conference
Volume
ISSN
ISBN
6269
0302-9743
3-642-15374-7
Citations 
PageRank 
References 
4
0.43
12
Authors
3
Name
Order
Citations
PageRank
Jochen Hoenicke129220.43
Roland Meyer220315.99
Ernst-Rüdiger Olderog3682220.84