scholarly journals Event Algebra for Transition Systems Composition - Application to Timed Automata

Author(s):  
Elie Fares ◽  
Jean-Paul Bodeveix ◽  
Mamoun Filali
2017 ◽  
Vol 55 (5) ◽  
pp. 363-400
Author(s):  
Elie Fares ◽  
Jean-Paul Bodeveix ◽  
Mamoun Filali

2010 ◽  
Vol 16 (4) ◽  
pp. 457-515 ◽  
Author(s):  
Parosh Aziz Abdulla

AbstractIn this paper, we give a step by step introduction to the theory ofwell quasi-orderedtransition systems. The framework combines two concepts, namely (i) transition systems which aremonotonicwrt. awell-quasi ordering; and (ii) a scheme for symbolicbackwardreachability analysis. We describe several models with infinite-state spaces, which can be analyzed within the framework, e.g., Petri nets, lossy channel systems, timed automata, timed Petri nets, and multiset rewriting systems. We will also presentbetter quasi-orderedtransition systems which allow the design of efficient symbolic representations of infinite sets of states.


2007 ◽  
Vol 14 (2) ◽  
Author(s):  
Luca Aceto ◽  
Anna Ingólfsdóttir

This paper discusses the classic notion of characteristic formulae for processes using variations on Hennessy-Milner logic as the underlying logical specification language. It is shown how to characterize logically (states of) finite labelled transition systems modulo bisimilarity using a single formula in Hennessy-Milner logic with recursion. Moreover, characteristic formulae for timed automata with respect to timed bisimilarity and the faster-than preorder of Moller and Tofts are offered in terms of the logic L_nu of Laroussinie, Larsen and Weise.


Author(s):  
Matmat Riadh ◽  
Kitouni Ilham ◽  
Saidouni Djamel Eddine

The timed automata are extensively used in different fields of formal validation in particular the model checking one. In this paper the authors are interested by a class of TA called durational actions timed automata (daTA) and the zones graph which represents an exact finite state abstraction based on what called Zones. The authors present a novel approach to construct a zone graph, based on the maximality semantics called maximality-based zone graph (MZG) by a local construction approach and they define timed maximality bisimulation relation for real-time model based on the maximality semantics. The authors propose a new method for distributed state space generation of maximality-based zone graph based on DHT structure. They also describe an implementation of this construction (DTaMaZG tool). The experiments given at the end of this article has shown good results especially when comparing with other works that have already proceed in the distributed generation of MLTS (Maximality based Labeled Transition Systems).


2011 ◽  
Vol 34 (8) ◽  
pp. 1365-1377 ◽  
Author(s):  
Li-Xing LI ◽  
Zhi JIN ◽  
Ge LI

2019 ◽  
Author(s):  
Riyaz Bhat ◽  
John Chen ◽  
Rashmi Prasad ◽  
Srinivas Bangalore

2014 ◽  
Vol 49 (1) ◽  
pp. 595-606 ◽  
Author(s):  
Udi Boker ◽  
Thomas A. Henzinger ◽  
Arjun Radhakrishna
Keyword(s):  

2021 ◽  
Vol 178 (1-2) ◽  
pp. 1-30
Author(s):  
Florian Bruse ◽  
Martin Lange ◽  
Etienne Lozes

Higher-Order Fixpoint Logic (HFL) is a modal specification language whose expressive power reaches far beyond that of Monadic Second-Order Logic, achieved through an incorporation of a typed λ-calculus into the modal μ-calculus. Its model checking problem on finite transition systems is decidable, albeit of high complexity, namely k-EXPTIME-complete for formulas that use functions of type order at most k < 0. In this paper we present a fragment with a presumably easier model checking problem. We show that so-called tail-recursive formulas of type order k can be model checked in (k − 1)-EXPSPACE, and also give matching lower bounds. This yields generic results for the complexity of bisimulation-invariant non-regular properties, as these can typically be defined in HFL.


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