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Complexity of Race Analysis

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Asynchronous Circuits

Part of the book series: Monographs in Computer Science ((MCS))

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Abstract

Two questions naturally arise in connection with the analysis of a transition caused by an input change: 1) Will the network eventually reach a unique (binary) stable state? 2) Will the network be in a unique (binary) state at time t? We call the first question the “stable-state reachability” (SSR) problem and the second the “limited reachability” (LR) problem. Both questions can be answered by using the race analysis algorithms presented in earlier chapters. Some of these algorithms are highly efficient, whereas others appear to require time exponential in the size of the network to be analyzed. In this chapter we explore the inherent computational complexity of these analysis problems. We assume the reader is familiar with the standard terminology for NP-completeness, as described in [55]. The work given here is based mainly on [122, 123].

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© 1995 Springer-Verlag New York, Inc.

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Brzozowski, J.A., Seger, CJ.H. (1995). Complexity of Race Analysis. In: Asynchronous Circuits. Monographs in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4210-9_9

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  • DOI: https://doi.org/10.1007/978-1-4612-4210-9_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8698-1

  • Online ISBN: 978-1-4612-4210-9

  • eBook Packages: Springer Book Archive

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