Advances in Verification of Time Petri Nets and Timed - download pdf or read online

By Doc.dr.hab. Wojciech Penczek, Dr. Agata Pólrola (auth.)

ISBN-10: 3540328696

ISBN-13: 9783540328698

ISBN-10: 354032870X

ISBN-13: 9783540328704

This monograph offers a entire advent to timed automata (TA) and
time Petri nets (TPNs) which belong to the main established versions of real-time
systems. the various latest tools of translating time Petri nets to timed
automata are offered, with a spotlight at the translations that correspond to the
semantics of time Petri nets, associating clocks with a number of elements 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 tools in accordance with nation classification methods for TPNs
and on partition refinement for TA. furthermore, the monograph offers a up to date growth
in the advance of 2 version checking tools, in accordance with both exploiting
abstract country areas or on software of SAT-based symbolic recommendations.

The booklet addresses examine scientists in addition to graduate and PhD scholars
in desktop technological know-how, logics, and engineering of genuine time systems.

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Extra resources for Advances in Verification of Time Petri Nets and Timed Automata: A Temporal Logic Approach

Sample text

We δ t 0 0 R R say that a run (ρR ) = (σ0R ) → Rc (σ0 ) + δ0 →Rc . . is a suffix of ρ if there R R exists i ∈ IN and 0 ≤ δ ≤ δi such that (σ0 ) = σi + δ, δi = δ + δ0 , and tj = ti+j and δj+1 = δi+j+1 for each j ∈ IN (notice that a suffix of ρ can start at a state which results from splitting a time step occurring in the run). A run ρR is said to be progressive iff Σi∈IN δi is unbounded. Note that a run is progressive iff all its suffixes are so. 20 1 Petri Nets with Time A time Petri net is called progressive if all its runs starting at the initial state are progressive.

We start with formalising the above notions. 1 Time Zones Let X = {x1 , . . , xnX } be a finite set of real-valued variables, called clocks. The set of clock constraints over X is defined by the following grammar: cc := true | xi ∼ c | xi − xj ∼ c | cc ∧ cc, where xi , xj ∈ X , c ∈ IN, and ∼ ∈ {≤, <, =, >, ≥}. The constraints of the form true, xi ∼ c and xi − xj ∼ c are called atomic. The set of all the clock constraints over X is denoted by CX , whereas its restriction, where inequalities involving differences of clocks are not allowed, is denoted by CX .

This method is applicable mainly to the weakly monotonic semantics, for which these models are usually built13 . However, detailed region graphs (see Sect. 114 ) can be used for both the (weakly and strongly monotonic) semantics. Notice also that dealing with the strongly monotonic semantics introduces an additional complexity. First of all, in order to prevent some deadlocks we restrict the nets to contain no transition with both the earliest and the latest firing time equal to zero, since such a transition is never fired according to this semantics.

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Advances in Verification of Time Petri Nets and Timed Automata: A Temporal Logic Approach by Doc.dr.hab. Wojciech Penczek, Dr. Agata Pólrola (auth.)


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