A Note on Fault Diagnosis Algorithms

In this paper we review algorithms for checking diagnosability of discrete-event systems and timed automata. We point out that the diagnosability problems in both cases reduce to the emptiness problem for (timed) B\"uchi automata. Moreover, it is known that, checking whether a discrete-event system is diagnosable, can also be reduced to checking bounded diagnosability. We establish a similar result for timed automata. We also provide a synthesis of the complexity results for the different fault diagnosis problems.Comment: Note: This paper is an extended version of the paper published in the proceedings of CDC'09, 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, P.R. China, December 2009

Summary-Based Inter-Procedural Analysis via Modular Trace Refinement

We propose a generalisation of trace refinement for the verification of inter-procedural programs. Our method is a top-down modular, summary-based approach, and analyses inter-procedural programs by building function summaries on-demand and improving the summaries each time a function is analysed. Our method is sound, and complete relative to the existence of a modular Hoare proof for a non-recursive program. We have implemented a prototype analyser that demonstrates the main features of our approach and yields promising results

Structural translation from time petri nets to timed automata

International audienceIn this paper, we consider Time Petri Nets (TPN) where time is associated with transitions. We give a formal semantics for TPNs in terms of Timed Transition Systems. Then, we propose a translation from TPNs to Timed Automata (TA) that preserves the behavioral semantics (timed bisimilarity) of the TPNs. For the theory of TPNs this result is two-fold: i) reachability problems and more generally TCTL model-checking are decidable for bounded TPNs; ii) allowing strict time constraints on transitions for TPNs preserves the results described in i). The practical appli- cations of the translation are: i) one can specify a system using both TPNs and Timed Automata and a precise semantics is given to the composition; ii) one can use existing tools for analyzing timed automata (like Kronos, Uppaal or Cmc) to analyze TPNs. In this paper we describe the new feature of the tool Romeo that implements our translation of TPNs in the Uppaal input format. We also report on experiments carried out on various examples and compare the result of our method to state-of-the-art tool for analyzing TPNs

Structural Translation of Time Petri Nets into Timed Automata

International audienceIn this paper, we consider Time Petri Nets (TPN) where time is associated with transitions. We give a formal semantics for TPNs in terms of Timed Transition Systems. Then, we propose a translation from TPNs to Timed Automata (TA) that preserves the behavioural semantics (timed bisimilarity) of the TPNs. For the theory of TPNs this result is two-fold: i) reachability problems and more generally TCTL model-checking are decidable for bounded TPNs; ii) allowing strict time constraints on transitions for TPNs preserves the results described in i). The practical applications of the translation are: i) one can specify a system using both TPNs and Timed Automata and a precise semantics is given to the composition; ii) one can use existing tools for analysing timed automata (like KRONOS or UPPAAL or CMC) to analyse TPNs

Modal Logics for Timed Control

International audienceIn this paper we use the timed modal logic $L_\nu$ to specify control objectives for timed plants. We show that the control problem for a large class of objectives can be reduced to a model-checking problem for an extension ($L^c$) of the logic Lnu with a new modality. More precisely we define a fragment of $L_\nu$, namely $L_\nu^d$, such that any control objective of $L_\nu^d$ can be translated into a $L^c$ formula that holds for the plant if and only if there is a controller that can enforce the control objective. We also show that the new modality of $L^c$ strictly increases the expressive power of $L_\nu$ while model-checking of Lc remains EXPTIME-complete

Application of Partial-Order Methods to Reactive Systems with Event Memorization

International audienceWe are concerned in this paper with the verification of reactive systems with event memorization. The reactive systems are specified with an asynchronous reactive language Electre the main feature of which is the capability of memorizing occurrences of events in order to process them later. This memory capability is quite interesting for specifying reactive systems but leads to a verification model with a dramatically large number of states (due to the stored occurrences of events). In this paper, we show that partial-order methods can be applied successfuly for verification purposes on our model of reactive programs with event memorization. The main points of our work are two-fold: (1) we show that the independance relation which is a key point for applying partial-order methods can be extracted automatically from an \sf Electre program; (2) the partial-order technique turns out to be very efficient and may lead to a drastic reduction in the number of states of the model as demonstrated by a real-life industrial case study