Title
Timed Automata with Parametric Updates
Abstract
Timed automata (TAs) represent a powerful formalism to model and verify systems where concurrency is mixed with hard timing constraints. However, they can seem limited when dealing with uncertain or unknown timing constants. Several parametric extensions were proposed in the literature, and the vast majority of them leads to the undecidability of the EF-emptiness problem: "is the set of valuations for which a given location is reachable empty?" Here, we study an extension of TAs where clocks can be updated to a parameter. While the EF-emptiness problem is undecidable for rational-valued parameters, it becomes PSPACE-complete for integer-valued parameters. In addition, exact synthesis of the parameter valuations set can be achieved. We also extend these two results to the EF-universality ("are all valuations such that a given location is reachable?"), AF-emptiness ("is the set of valuations for which a given location is unavoidable empty?") and AF-universality ("are all valuations such that a given location is unavoidable?") problems.
Year
DOI
Venue
2018
10.1109/ACSD.2018.000-2
2018 18th International Conference on Application of Concurrency to System Design (ACSD)
Keywords
Field
DocType
parametric timed automata,parameter synthesis,reachability emptiness,decidability
Computer science,Concurrency,Automaton,Theoretical computer science,Parametric statistics,Concurrent computing,Formalism (philosophy),Cost accounting,Semantics,Undecidable problem
Conference
ISSN
ISBN
Citations 
1550-4808
978-1-5386-7014-9
0
PageRank 
References 
Authors
0.34
14
3
Name
Order
Citations
PageRank
Étienne André129435.08
didier lime278746.02
Mathias Ramparison321.71