Product Interval Automata: A Subclass of Timed Automata

@inproceedings{DSouza1999ProductIA,
  title={Product Interval Automata: A Subclass of Timed Automata},
  author={Deepak D'Souza and P. S. Thiagarajan},
  booktitle={FSTTCS},
  year={1999}
}
We identify a subclass of timed automata and develop its theory. These automata, called product interval automata, consist of a network of timed agents. The key restriction is that there is just one clock for each agent and the way the clocks are read and reset is determined by the distribution of shared actions across the agents. We show that the resulting automata admit a clean theory in both logical and language-theoretic terms. It turns out that the study of these timed automata can exploit… 
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References

SHOWING 1-10 OF 105 REFERENCES
A Theory of Timed Automata
A Determinizable Class of Timed Automata
TLDR
A translation from timed Transition systems to event-recording automata is presented, which leads to an algorithm for checking if two timed transition systems have the same set of timed behaviors.
Partial Order Reduction for Model Checking of Timed Automata
TLDR
It is shown how this model can be used to perform model checking for an extension of linear temporal logic, which can express timing relations between events, based on a local-time semantics for networks of timed automata defined by Bengtsson et al.
State Clock Logic: A Decidable Real-Time Logic
TLDR
The main contribution of this paper is to complete the framework of this class of determinizable automata with a temporal logic and to introduce the notion of event clock in the domain of temporal logic.
Automata on Infinite Objects
  • W. Thomas
  • Computer Science
    Handbook of Theoretical Computer Science, Volume B: Formal Models and Sematics
  • 1990
Decidability of Timed Language-Inclusion for Networks of Real-Time Communicating Sequential Processes
TLDR
The problem of timed trace-inclusion is decidable for a large and natural class of processes in Reed and Roscoe's Timed CSP [RR86].
Timing analysis of asynchronous circuits using timed automata
TLDR
These results, combined with recent results concerning the analysis and synthesis of timed automata, provide for the systematic Treatment of a large class of problems that could be treated by conventional simulation methods only in an ad-hoc fashion.
Partial Order Reductions for Timed Systems
TLDR
This paper presents a partial-order reduction method for timed systems based on a local-time semantics for networks of timed automata, and presents a variant of DBM representation of symbolic states in the local time semantics for efficient implementation.
An Efficient Algorithm for Minimizing Real-time Transition Systems
We address the problem of performing simultaneously reachability analysis and minimization of real-time transition systems represented by timed automata, i.e., automata extended with a finite set of
...
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