By Doc.dr.hab. Wojciech Penczek, Dr. Agata Pólrola (auth.)
This monograph provides a accomplished advent to timed automata (TA) and
time Petri nets (TPNs) which belong to the main typical types of real-time
systems. many of the current equipment of translating time Petri nets to timed
automata are awarded, with a spotlight at the translations that correspond to the
semantics of time Petri nets, associating clocks with a number of parts of the
nets. "Advances in Verification of Time Petri Nets and Timed Automata – A Temporal
Logic method" introduces timed and untimed temporal specification languages
and provides version abstraction equipment in line with kingdom classification techniques for TPNs
and on partition refinement for TA. furthermore, the monograph provides a up to date development
in the improvement of 2 version checking equipment, in response to both exploiting
abstract country areas or on program of SAT-based symbolic options.
The booklet addresses learn scientists in addition to graduate and PhD scholars
in machine technological know-how, logics, and engineering of genuine time systems.
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Publish 12 months be aware: First released 2001
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Additional info for Advances in Verification of Time Petri Nets and Timed Automata: A Temporal Logic Approach
For simplicity of the below description, let ((m(p1 ), m(p2 )), t2 [0,2] t1 [1,4] p1 p2 Fig. 10. A time Petri net with a non-progressive run (clock T (t1 ), clock T (t2 ))) denote the concrete state (m, clock T ) ∈ Σ T . Although all the runs of N are inﬁnite, some of them are not progressive. 75, 0)) →T c . . It is easy to see that the example applies to both the weakly and strongly monotonic semantics. However, one can formulate a suﬃcient condition for a TPN to be progressive. To do this, we introduce a notion of a structural loop.
The interval semantics for TPNs is discussed in , whereas a description of all the clock-related semantics can be found in . 15 The ﬁrst deﬁnition is given in Sect. 2. 2 Timed Automata In this chapter we consider timed automata, which were introduced by Alur and Dill . Timed automata are extensions of ﬁnite state automata with constraints on timing behaviour. The underlying ﬁnite state automata are augmented with a set of real time variables. We start with formalising the above notions.
The theory of Petri nets provides a general framework for modelling distributed and concurrent systems. Since for many of them timing dependencies play an important role, a variety of extensions to the main formalism, enabling to reason about temporal properties, has been introduced. In what follows, we present a brief survey of such approaches, based on [46, 138]. , places , transitions [106, 133] or arcs [3, 80, 147, 165]). The next criterion is an interpretation of the timing constraints.