Concurrency and Hardware Design by Jordi Cortadella, Alex Yakovlev, Grzegorz Rozenberg

By Jordi Cortadella, Alex Yakovlev, Grzegorz Rozenberg

This LNCS state of the art Survey is dedicated to the really previous and famous behavioral paradigm in computing, concurrency, and to the ways that concurrency is exhibited or may be exploited in electronic units. The 9 chapters provided are equipped in 4 elements on formal tools, asynchronous circuits, embedded platforms layout, and timed verification and function research.

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This corresponds with the label in the complete state graph after trace a. A different basic component is an initialized SEQUENCER. An initialized SEQUENCER is an arbiter that arbitrates among requests that can arrive concurrently from a number of different sources. The arbiter ensures that only one pending request is granted at any time. In Figure 14 we show three snippets that capture the behavior of the SEQUENCER. For each snippet we give a simplified state graph. The first snippet specifies that requests r0 and grants g0 must alternate and that, after receiving request r0 , the arbiter guarantees progress.

2 [8] Edsger W. Dijkstra. Hierarchical ordering of sequential processes. Acta Informatica, 1:115–138, 1971. 28, 29, 31 [9] David L. Dill. Trace Theory for Automatic Hierachical Verification of SpeedIndependent Circuits. ACM Distinguished Dissertations. MIT Press, 1989. 2 [10] Jo C. Ebergen. A Formal Approach to Designing Delay-Insensitive Circuits. Distributed Computing, 5(3):107–119, 1991. 2, 13, 14, 15 [11] Jo C. Ebergen. Arbiters: an exercise in specifying and decomposing asynchronously communicating components.

The safety and progress properties of the traces of a command are defined as follows. First we stipulate that commands always express safe snippets. Thus, every illegal trace obtained from a legal trace by adding an output symbol is labeled with , and every illegal trace obtained from a legal trace by adding an input symbol is labeled with ⊥. Secondly, from the definition of a snippet, it 26 Igor Benko and Jo Ebergen ∇ r1 ? r0 r0 ? ✷ r0 ? g1 ! g0 d? ✷ d? ✷ g0 ! r1 ? r0 ? ∇ g1 r1 r0 ? g0 ! r1 ? ∇ d?

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