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Conclusions and Open Problems

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The Unknown Component Problem

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Abstract

The problem of finding an unknown component in a network of components in order to satisfy a global system specification was addressed. Abstract language equations of the type A ∙ X ⊆ C and A ◇X ⊆ C were investigated, where ∙ and ◇are operators of language composition. The most general solution was computed and various types of constrained solutions were studied. Then specialized language equations were introduced, such as regular and FSM language equations. The maximum subsets of them, closed with respect to various language properties, were studied; in particular the largest compositional solutions were studied.

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Acknowledgements

Robert Brayton, Alan Mishchenko, Nina Yevtushenko and Tiziano Villa gratefully acknowledge the support of the following NATO travel grants: Collaborative Linkage Grant. No. 971217, Collaborative Linkage Grant CBP.NR.CLG 982314.

Tiziano Villa was partly supported by the EU projects FP7-IST-1-217069 COCONUT and FP7-ICT-223844 CON4COORD.

Nina Yevtushenko was partly supported by RFBR_NNC grants No. 06-08-89500 and 10-08-92003, and by a COOPERINT travel grant of the University of Verona.

Robert Brayton and Alan Mishchenko were partly supported by NSF contracts CCR-0312676 and CCF-0702668.

Alexandre Petrenko was partly supported by NSERC (Grant OGP0194381).

Alberto Sangiovanni-Vincentelli was partly supported by the Gigascale Systems Research Center and by the Multiscale System Center, two of five research centers funded under the Focus Center Research Program, a Semiconductor Research Corporation program.

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Authors and Affiliations

  1. Dipartimento D’Informatica, Università di Verona, Strada le Grazie, 15, 37134, Verona, Italy

    Tiziano Villa

  2. Department of EECS, Tomsk State University, Tomsk, Russia

    Nina Yevtushenko

  3. Department of Electrical Engineering and Computer Science, University of California, Berkeley, California, USA

    Robert K. Brayton

  4. Department of Electrical Engineering and Computer Science (EECS), University of California, Berkeley, Berkeley, California, USA

    Alan Mishchenko & Alberto Sangiovanni-Vincentelli

  5. Computer Research Institute of Montreal (CRIM), Ogilvy 405, Suite 101, H3N 1M3, Montreal, Quebec, Canada

    Alexandre Petrenko

Authors
  1. Tiziano Villa
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  2. Nina Yevtushenko
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  3. Robert K. Brayton
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  4. Alan Mishchenko
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  5. Alexandre Petrenko
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  6. Alberto Sangiovanni-Vincentelli
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Correspondence to Tiziano Villa .

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Villa, T., Yevtushenko, N., Brayton, R.K., Mishchenko, A., Petrenko, A., Sangiovanni-Vincentelli, A. (2012). Conclusions and Open Problems. In: The Unknown Component Problem. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-68759-9_19

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  • DOI: https://doi.org/10.1007/978-0-387-68759-9_19

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  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-34532-1

  • Online ISBN: 978-0-387-68759-9

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