OPTIMISTA: state minimization of asynchronous FSMs for optimum output logic

  • Authors:
  • Robert M. Fuhrer;Steven M. Nowick

  • Affiliations:
  • Department of Computer Science, Columbia University, New York, NY;Department of Computer Science, Columbia University, New York, NY

  • Venue:
  • ICCAD '99 Proceedings of the 1999 IEEE/ACM international conference on Computer-aided design
  • Year:
  • 1999

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Abstract

The optimal state minimization problem is to select a reduced state machine having the best logic implementation over all possible state reductions and encodings. A recent algorithm, OPTIMIST [3], was the first general solution to this problem for synchronous FSMs. In this paper, we present the first solution for asynchronous FSMs.This paper makes two contributions. First, we introduce OPTIMISTA, a new algorithm which guarantees optimum 2-level output logic for asynchronous FSMs. In asynchronous machines, output logic is often critical: it usually determines the machine latency. The algorithm is formulated as a binate constraint satisfaction problem, which is solved using a binate solver. The second contribution is a novel alternative result: the unreduced machine itself can be used directly to obtain minimum-cardinality output logic.Thus, this paper presents two approaches: using OPTIMISTA, which simultaneously performs state and logic minimization; or using no state reduction (if output logic cardinality is of sole interest). Extensions for literal optimization, targetted to multi-level logic, are also proposed.