Pushdown automata, multiset automata, and Petri nets

Pushdown automata, multiset automata, and Petri nets

In this paper, we consider various classes of (in)nite-state) automata generated by simple rewrite transition systems. These classes are de)ned by two natural hierarchies, one given by interpreting concatenation of symbols in the rewrite system as sequential composition, and the other by interpreting concatenation as parallel composition. In this way, we provide natural definitions for commutat...

Using Interval Petri Nets and Timed Automata for Diagnosis of Discrete Event Systems (DES)

A discrete event system (DES) is a dynamic system that evolves in accordance with the abrupt occurrence, at possibly unknown irregular intervals, of physical events. Because of the special nature of these systems, different tools are currently used for their analysis, design and modeling. The main focus of this paper is the presentation of a new modeling approach of Discrete Event Systems. The ...

Consistency, Causality, Petri Nets, and Automata

Pushdown Automata

Families of Languages AFL thm if F is closed under substitution with λ-free regular sets, morphism, union with regular sets [easy for cfg] & intersection with regular sets, then F is closed under inverse morphism Figure 26: closure properties of CF II 12 intersection with regular languages a;A/α a a;A/α λ;A/α λ;A/α { } } { ⇒ ⇒ { anbn | n ≥ 1 }∗ ∩ { w ∈ {a, b}∗ |#ax even } r1 p1 q1 r0 p0 q0 r p ...

From Time Petri Nets to Timed Automata

In 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 ...