By Jordi Cortadella, Alex Yakovlev, Grzegorz Rozenberg
This LNCS cutting-edge Survey is dedicated to the quite previous and recognized behavioral paradigm in computing, concurrency, and to the ways that concurrency is exhibited or could be exploited in electronic units. The 9 chapters offered are equipped in 4 components on formal equipment, asynchronous circuits, embedded structures layout, and timed verification and function research.
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Ebergen. Arbiters: an exercise in specifying and decomposing asynchronously communicating components. Science of Computer Programming, 18(3):223–245, June 1992. 2  W. C. Mallon, J. T. Udding, and T. Verhoeﬀ. Analysis and applications of the XDI model. In Proc. International Symposium on Advanced Research in Asynchronous Circuits and Systems, pages 231–242, April 1999. 2, 7, 11, 18  Willem Mallon. Personal communication, 1997. 17  Radu Negulescu. Process Spaces and Formal Verification of Asynchronous Circuits.
G1 r1 ✷ ∇ g1 ! d g0 ! & ∇ d? ✷ g1 ! a) Schematic b) Speciﬁcation by means of three snippets Fig. 14. Snippets for the SEQUENCER The speciﬁcation of the SEQUENCER involves a signiﬁcant amount of concurrency. Requests r0 and r1 can arrive independently of each other, which contributes to sequences of events that may not be easy to envision if we were to generate the state graph directly rather than by computing the speciﬁcation composition of snippets. Thinking in terms of snippets allows us to focus on a few aspects of the behavior of the SEQUENCER, which combined lead to the ﬁnal speciﬁcation.
E. as a literal in a Boolean expression) and the decorated name of an output signal to designate a rising or falling transition. For example, the synchronization of four-phase handshakes on two passive ports L and R might be written as forever do rL,rR/aL,aR ; rL,rR/aL,aR end in DISP and forever do wait(rL and rR) ; aL+,aR+ ; wait(rL’ and rR’) ; aL-,aR- end in HSE, where we have adopted a user-friendly concrete syntax in which to express both DISP and HSE. An advantage of DISP is that a more compact description is sometimes possible, forever do rL,rR/aL,aR end in this example, since forever do S ; S end is semantically equivalent to forever do S end, as one would expect in any structured programming language.