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Event-Driven Traversal of Logic Circuits for Re-evaluation of Boolean Functions in Reactive Systems

  • Valeriy Vyatkin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2890)

Abstract

This paper presents an efficient algorithm for re-evaluation of a Boolean function represented as a logic circuit. The algorithm consists of pre-computation and re-evaluation parts. For a given logic circuit and initial input bits, the pre-computation constructs the data structure for the re-computation. The re-evaluation accepts a list of changed input bits and updates the output of the circuit. The pre-computation runs in time linear to size of the circuit and the re-computation performs in time linear to the number of triggered input bits.

Keywords

Boolean computation Logic circuits Incremental computation 

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References

  1. 1.
    Alpern, B., Hoover, R., Rosen, B.K., Sweeney, P.F., Zadeck, K.: Incremental evaluation of computational circuits. In: Proceedings of First Annual ACM-SIAM symposium on Discrete Algorithms, pp. 32–42 (1990)Google Scholar
  2. 2.
    Sheiber, B., Vishkin, U.: On finding lowest common ancestors: Simplification and parallelization. SIAM J.Comput. 17(6), 1253–1262 (1988)CrossRefMathSciNetGoogle Scholar
  3. 3.
    Papadimitriou, C.H.: Computational Complexity. Addison-Wesley, Reading (1994)zbMATHGoogle Scholar
  4. 4.
    Ramalingam, G.: Bounded Incremental Computation. LNCS, vol. 1089. Springer, Heidelberg (1996)zbMATHCrossRefGoogle Scholar
  5. 5.
    Welch, J.T.: The clause counter map: An event chaining algorithm for online programmable logic. IEEE Trans. on Robotics and Automation 2 (1995)Google Scholar
  6. 6.
    Vyatkin, V.: Optimal Algorithms of Event-driven Re-evaluation of Boolean Functions. In: Bjørner, D., Broy, M., Zamulin, A.V. (eds.) PSI 2001. LNCS, vol. 2244, pp. 55–63. Springer, Heidelberg (2001)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Valeriy Vyatkin
    • 1
  1. 1.Dept. of Engineering ScienceMartin Luther University of Halle-WittenbergHalleGermany

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