By Claude Jard, Olivier H. Roux
The elevated complexity of embedded platforms coupled with fast layout cycles to deal with speedier time-to-market calls for elevated process layout productiveness that includes either model-based layout and tool-supported methodologies.
Formal equipment are mathematically-based options and supply a fresh framework within which to specific requisites and versions of the structures, taking into consideration discrete, stochastic and non-stop (timed or hybrid) parameters with more and more effective instruments.
This publication bargains with those formal tools utilized to speaking embedded structures through proposing the comparable commercial demanding situations and the problems of modeling, model-checking, prognosis and keep an eye on synthesis, and via describing the most linked computerized tools.Content:
Chapter 1 versions for Real?Time Embedded platforms (pages 1–37): Didier Lime, Olivier H. Roux and Jiri Srba
Chapter 2 Timed Model?Checking (pages 39–66): Beatrice Berard
Chapter three regulate of Timed platforms (pages 67–105): Franck Cassez and Nicolas Markey
Chapter four Fault analysis of Timed structures (pages 107–138): Franck Cassez and Stavros Tripakis
Chapter five Quantitative Verification of Markov Chains (pages 139–163): Susanna Donatelli and Serge Haddad
Chapter 6 instruments for Model?Checking Timed platforms (pages 165–225): Alexandre David, Gerd Behrmann, Peter Bulychev, Joakim Byg, Thomas Chatain, Kim G. Larsen, Paul Pettersson, Jacob Illum Rasmussen, Jiri Srba, Wang Yi, Kenneth Y. Joergensen, Didier Lime, Morgan Magnin, Olivier H. Roux and Louis?Marie Traonouez
Chapter 7 instruments for the research of Hybrid versions (pages 227–251): Thao Dang, Goran Frehse, Antoine Girard and Colas Le Guernic
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Extra info for Communicating Embedded Systems: Software and Design: Formal Methods
3, num. 1, 1–61, 2007. , “Is your model checker on time? On the complexity of model checking for timed modal logics”, Journal of Logic and Algebraic Programming, vol. 52–53, 7–51, 2002. , “A framework for scheduler synthesis”, 20th IEEE Real-Time Systems Symposium (RTSS’99), pp. 154–163, Phoenix, AZ, USA, IEEE Computer Society Press, December 1999. , “A methodology for the construction of scheduled systems”, 6th International Symposium on Formal Techniques in Real-Time and Fault-Tolerant Systems (FTRTFT’00), vol.
A formula of LTL is interpreted at position i of an (inﬁnite) run starting from the initial state σ : q0 − → q1 − → q2 · · · . For i ≥ 0, we simply write σ(i) for the ith state of Timed Model-Checking 47 σ (here qi ). The semantics of LTL is then inductively deﬁned by σ, i |= P, σ, i |= ¬ϕ σ, i |= ϕ ∧ ψ, σ, i |= Xϕ σ, i |= ϕUψ, if P is in the set (σ(i)) of labels of q ; if σ, i does not satisfy ϕ ; if q satisﬁes both ϕ and ψ ; if σ, i + 1 |= ϕ ; if there exists j ≥ i such that σ, j |= ψ and for all k, i ≤ k < j, σ, k |= ϕ.
In untimed case, two fragments of CTL* [CLA 86] are frequently used: linear temporal logic (LTL), for linear time [PNU 77]) and computation tree logic (CTL), for branching time [CLA 81, EME 82]). We recall the deﬁnition of these logics and explain how they are extended with quantitative constraints. 1. Temporal logics CTL and LTL Let us consider again that Prop be a set of atomic propositions. The formule of LTL approach are deﬁned by the grammar ϕ, ψ ::= P | ¬ϕ | ϕ ∧ ψ | Xϕ | ϕUψ, where P ∈ Prop.