Synthesis of Finite State Machines : Logic Optimization

By (author) Villa, Tiziano; By (author) Kam, Timothy; By (author) Brayton, Robert K.; By (author) Sangiovanni-Vincentelli, Alberto L.

Synthesis of Finite State Machines: Logic Optimization is the second in a set of two monographs devoted to the synthesis of Finite State Machines (FSMs). The first volume, Synthesis of Finite State Machines: Functional Optimization, addresses functional optimization, whereas this one addresses logic optimization. The result of functional optimization is a symbolic description of an FSM which represents a sequential function chosen from a collection of permissible candidates. Logic optimization is the body of techniques for converting a symbolic description of an FSM into a hardware implementation. The mapping of a given symbolic representation into a two-valued logic implementation is called state encoding (or state assignment) and it impacts heavily area, speed, testability and power consumption of the realized circuit. The first part of the book introduces the relevant background, presents results previously scattered in the literature on the computational complexity of encoding problems, and surveys in depth old and new approaches to encoding in logic synthesis. The second part of the book presents two main results about symbolic minimization; a new procedure to find minimal two-level symbolic covers, under face, dominance and disjunctive constraints, and a unified frame to check encodability of encoding constraints and find codes of minimum length that satisfy them. The third part of the book introduces generalized prime implicants (GPIs), which are the counterpart, in symbolic minimization of two-level logic, to prime implicants in two-valued two-level minimization. GPIs enable the design of an exact procedure for two-level symbolic minimization, based on a covering step which is complicated by the need to guarantee encodability of the final cover. A new efficient algorithm to verify encodability of a selected cover is presented. If a cover is not encodable, it is shown how to augment it minimally until an encodable superset of GPIs is determined. To handle encodability the authors have extended the frame to satisfy encoding constraints presented in the second part. The covering problems generated in the minimization of GPIs tend to be very large. Recently large covering problems have been attacked successfully by representing the covering table with binary decision diagrams (BDD). In the fourth part of the book the authors introduce such techniques and extend them to the case of the implicit minimization of GPIs, where the encodability and augmentation steps are also performed implicitly. Synthesis of Finite State Machines: Logic Optimization will be of interest to researchers and professional engineers who work in the area of computer-aided design of integrated circuits.

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  • Preface. Part I: From Symbolic to Logic Representations. 1. Introduction. 2. Definitions. 3. Complexity Issues. 4. Encoding for Synthesis. Part II: Constrained Encoding. 5. Symbolic Minimization. 6. Encoding Constraints. Part III: Generalized Prime Implicants. 7. Generalized Prime Implicants. 8. Minimization of GPIS. 9. Encodeability of GPIS. Part IV: Implicit Techniques for Encoding. 10. Implicit Formulation of Unate Covering. 11. Implicit Minimization of GPIS. Part V: Conclusions. 12. Conclusions. References. Index.

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書名 Synthesis of Finite State Machines : Logic Optimization
著作者等 Brayton, Robert K.
Kam, Timothy
Sangiovanni-Vincentelli, Alberto L.
Villa, Tiziano
書名別名 Logic Optimization
出版元 Springer-Verlag New York Inc.
刊行年月 2012.10.04
版表示 Softcover reprint of the original 1st ed. 1997
ページ数 394p
大きさ H235 x W155
ISBN 9781461378211
言語 英語
出版国 アメリカ合衆国

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