This paper introduces (pronounce spades), a stochastic process algebra for discrete-event systems, that extends traditional process algebra with timed actions whose delay is governed by general (a.o. continuous) probability distributions. The operational semantics is defined in terms of stochastic automata, a model that uses clocks—like in timed automata—to symbolically represent randomly timed...

The powerset construction is a standard method for converting a nondeterministic automaton into a deterministic one recognizing the same language. In this paper, we lift the powerset construction from automata to the more general framework of coalgebras with structured state spaces. Coalgebra is an abstract framework for the uniform study of different kinds of dynamical systems. An endofunctor ...

The modal mu-calculus is a very expressive formalism extending basic modal logic with least and greatest fixpoint operators. In the seminal paper introducing the formalism in the shape known today, Dexter Kozen also proposed an elegant axiom system, and he proved a partial completeness result with respect to the Kripke-style semantics of the logic. The problem of proving Kozen’s axiom system co...

In this paper general deterministic one-dimensional cellular automata are identified with mappings of the unit interval into itself. This allows the machinery of dynamical systems analysis to be employed. The emphasis of the paper, however, is on applications of existing concepts and techniques of information theory to these automata. A basic paper by W.M. Conner is utilized to obtain equality ...

Modal Input/Output interfaces (MIOs) is a new specification theory for systems communicating via inputs and outputs. The approach combines the advantages of both modal automata and interface automata, two dominant specification theories for component-based design. This paper presents the MIO Workbench that is the first complete implementation of the MIO theory.

The notion of orbit finite data monoid was recently introduced by Bojańczyk as an algebraic object for defining recognizable languages of data words. Following Büchi’s approach, we introduce the new logic ‘rigidly guarded MSO’ and show that the data languages definable in this logic are exactly those recognizable by orbit finite data monoids. We also establish, following this time the approach ...

Most decidability results concerning well-structured transition systems apply to the finitely branching variant. Yet some models (inserting automata, ω-Petri nets, ...) are naturally infinitely branching. Here we develop tools to handle infinitely branching WSTS by exploiting the crucial property that in the (ideal) completion of a well-quasi-ordered set, downward-closed sets are finite unions ...

These lecture notes report on the use of automata theory in the study of infinite transition systems. This application of automata is an important ingredient of the current development of “infinite-state system verification”, and it provides an introduction into the field of “algorithmic model theory”, a study of infinite models with an emphasis on computability results.

We introduce various types of w-automata, top-down automata and bottom-up automata on infinite trees. We study the power of deterministic and nondeter-ministic tree automata and prove that deterministic and non-deterministic bottom-up tree automata accept the same intinite tree sets. We establish a relationship between tree automata, Logic programs, recursive program schemes, and the monadic se...