A timed verification of the IEEE 1394 leader election protocol

The IEEE 1394 architecture standard defines a high performance serial multimedia bus that allows several components in a network to communicate with each other at high speed. In the physical layer of the architecture, a leader election protocol is used to find a spanning tree with a unique root in the network topology. If there is a cycle in the network, the protocol treats this as an error situation. This paper presents a formal model of the leader election protocol in the language IOA as well as a correctness proof. The verification shows that under certain timing restrictions the protocol behaves correct. The timing constants proposed in the IEEE 1394 standard documentation obey the requirements found in this proof

Modeling and Analysis of Probabilistic Real-time Systems through Integrating Event-B and Probabilistic Model Checking

Event-B is a formal method used in the development of safety critical systems. However, these systems may introduce uncertainty, and need also to meet real-time requirements, which make their modeling and analysis a challenging task. Existing works on extending Event-B with probability and time did not address both probability and time in a single framework. Besides, they did focus the most on extending the language itself, not on integrating the extended Event-B with verification. In this paper, we aim to represent both probability and time in the Event-B language, and we will show how such a representation can be automatically translated into Probabilistic Timed Automata (PTA) described in the language of the probabilistic model checker PRISM. This translation would allow us to analyze probabilistic, as well as time-bounded probabilistic reachability properties of probabilistic real-time systems through the Probabilistic Timed CTL (PTCTL) logic

Time Constraint Patterns for Event B Development

ISSN : 0302-9743 (Print) ; 1611-3349 (Online) ; ISBN : 978-3-540-68760-3International audienceDistributed applications are based on algorithms which should be able to deal with time constraints. It is mandatory to express time constraints in (mathematical) models and the current work intends to integrate time constraints in the modelling process based on event B models and refinement. The starting point of our work is the event B development of the IEEE 1394 leader election protocol; from standard documents, we derive temporal requirements to solve the contention problem and we propose a method for introducing time constraints using a pattern. The pattern captures time constraints in a generic event B development and it is applied to the IEEE 1394 case study

Proved Development of the Real-Time Properties of the IEEE 1394 Root Contention Protocol with the Event B Method

We present a model of the IEEE 1394 Root Contention Protocol with a proof of Safety. This model has real-time properties which are expressed in the language of the event B method: first-order classical logic and set theory. Verification is done by proof using the event B method and its prover, we also have a way to model-check models. Refinement is used to describe the studied system at different levels of abstraction: first without time to fix the scheduling of events abstracly, and then with more and more time constraints

Proved Development of the Real-Time Properties of the IEEE 1394 Root Contention Protocol with the Event B Method

International audienceWe present a model of the IEEE 1394 Root Contention Protocol with a proof of Safety. This model has real-time properties which are expressed in the language of the event B method: first-order classical logic and set theory. Verification is done by proof using the event B method and its prover, we also have a way to model-check models. Refinement is used to describe the studied system at different levels of abstraction: first without time to fix the scheduling of events abstracly, and then with more and more time constraints

Time for Statistical Model Checking of Real-Time Systems

Abstract. We propose the first tool for solving complex (some unde-cidable) problems of timed systems by using Statistical Model Checking (SMC). The tool monitors several runs of the system, and then relies on statistical algorithms to get an estimate of the correctness of the entire design. Contrary to other existing toolsets, ours relies on i) a natural stochastic semantics for networks of timed systems, ii) an engine capable to solve problems that are beyond the scope of classical model checkers, and iii) a friendly user interface.