Abstract—We give a denotational framework (a “meta model”) within which certain properties of models of computation can be compared. It describes concurrent processes in general terms as sets of possible behaviors. A process is determinate if, given the constraints imposed by the inputs, there are exactly one or exactly zero behaviors. Compositions of processes are processes with behaviors in the intersection of the behaviors of the component processes. The interaction between processes is through signals, which are collections of events. Each event is a value-tag pair, where the tags can come from a partially ordered or totally ordered set. Timed models are where the set of tags is totally ordered. Synchronous events share the same tag, and synchronous signals contain events with the same set of tags. Synchronous processes have only synchronous signals as behaviors. Strict causality (in timed tag systems) and continuity (in untimed tag systems) ensure determinacy under certain technical conditions. The framework is used to compare certain essential features of various models of computation, including Kahn process networks, dataflow, sequential processes, concurrent sequential processes with rendezvous, Petri nets, and discrete-event systems. I.

This paper surveys the design of embedded computer systems, which use software running on programmable computers to im-plement system functions. Creating an embedded computer system which meets its performance, cost, and design time goals is a hardware-software co-design problewhe design of the hard-ware and software components influence each other. This paper emphasizes a historical approach to show the relationships be-tween well-understood design problems and the as-yet unsolved problems in co-design. We describe the relationship between hard-ware and sofhvare architecture in the early stages of embedded system design. We describe analysis techniques for hardware and software relevant to the architectural choices required for hard-ware-software co-design. We also describe design and synthesis techniques for co-design and related problems.

Copyright © 2006, by the author(s).

This paper studies the semantics of hierarchical finite state machines (FMS's) that are composed using various concurrency models, particularly dataflow, discrete-events, and synchronous/reactive modeling. It is argued that all three combinations are useful, and that the concurrency model can be selected independently of the decision to use hierarchical FSM's. In contrast, most formalisms that combine FSM's with concurrency models, such as Statecharts (and its variants) and hybrid systems, tightly integrate the FSM semantics with the concurrency semantics. An implementation that supports three combinations is described.

This paper addresses the design of reactive real-time embedded systems. Such systems are often heterogeneous in implementation technologies and design styles, for example by combining hardware ASICs with embedded software. The concurrent design process for such embedded systems involves solving the specification, validation, and synthesis problems. We review the variety of approaches to these problems that have been taken.

Esterel [8, 10, 3, 4] is an imperative synchronous parallel programming lan guage dedicated to reactive systems [17]. Esterel is tailored for programming hardware or software synchronous controllers for which the control-handling aspects are predominant. Esterel programs are input-driven: they wait for inputs and compute corresponding outputs in a cycle-based way. An in put-output computation is called a reaction...

Modern embedded computing systems tend to be heterogeneous in the sense of being composed of subsystems with very different characteristics, which communicate and interact in a variety of ways---synchronous or asynchronous, buffered or unbuffered, etc. Obviously, when designing such systems, a modeling language needs to reflect this heterogeneity. Today's modeling environments usually offer a variant of what we call amorphous heterogeneity to address this problem. This paper argues that modeling systems in this manner leads to unexpected and hard-to-analyze interactions between the communication mechanisms and proposes a more structured approach to heterogeneity, called hierarchical heterogeneity to solve this problem. It proposes a model structure and semantic framework that support this form of heterogeneity, and discusses the issues arising from heterogeneous component interaction and the desire for component reuse. It introduces the notion of domain polymorphism as a way to address these issues.

We investigate the benefits of using a synchronous data-flow language for programming critical real-time systems. These benefits concern ergonomy --- since the dataflow approach meets traditional description tools used in this domain ---, and ability to support formal design and verification methods. We show, on a simple example, how the language Lustre and its associated verification tool Lesar, can be used to design a program, to specify its critical properties, and to verify these properties. As the language Lustre and its use have been already published in several papers (e.g., [11, 18]), we put particular emphasis on program verification. A preliminary version of this paper has been published in [28]. 1 Introduction It is useless to repeat why real-time programs are among those in which errors can have the most dramatic consequences. Thus, these programs constitute a domain where there is a special need of rigorous design methods. We advocate a "language approach" to this problem...

Abstract — Twelve years ago, Proceedings of the IEEE devoted a special section to the synchronous languages. This article discusses the improvements, difficulties, and successes that have occured with the synchronous languages since then. Today, synchronous languages have been established as a technology of choice for modeling, specifying, validating, and implementing real-time embedded applications. The paradigm of synchrony has emerged as an engineer-friendly design method based on mathematicallysound tools.

... This paper introduces the reader to various aspects of co-design. We highlight the commonalities and point out the differences in various co-design problems in some application areas. Co-design issues and their relationship to classical system implementation tasks are discussed to help the reader develop a perspective on modern digital system design that relies on computer-aided design (CAD) tools and methods.