Efficient Solution of Language Equations Using Partitioned Representations

A class of discrete event synthesis problems can be reduced to solving language equations f X S, where F is the fixed component and S the specification. Sequential synthesis deals with FSMs when the automata for F and S are prefix closed, and are naturally represented by multi-level networks with la...

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Veröffentlicht in:Design, Automation and Test in Europe S. 418 - 423
Hauptverfasser: Mishchenko, Alan, Brayton, Robert, Jiang, Roland, Villa, Tiziano, Yevtushenko, Nina
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: Washington, DC, USA IEEE Computer Society 07.03.2005
IEEE
Schriftenreihe:ACM Conferences
Schlagworte:
Automata
Boolean functions
Computing methodologies > Symbolic and algebraic manipulation > Symbolic and algebraic algorithms
Data structures
Equations
Formal verification
Hardware > Hardware validation > Functional verification
Hardware > Integrated circuits > Logic circuits > Sequential circuits
Image converters
Input variables
Network synthesis
Protocols
Testing
Theory of computation > Design and analysis of algorithms
Theory of computation > Formal languages and automata theory
ISBN:9780769522883, 0769522882
ISSN:1530-1591
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Abstract A class of discrete event synthesis problems can be reduced to solving language equations f X S, where F is the fixed component and S the specification. Sequential synthesis deals with FSMs when the automata for F and S are prefix closed, and are naturally represented by multi-level networks with latches. For this special case, we present an efficient computation, using partitioned representations, of the most general prefix-closed solution of the above class of language equations. The transition and the output relations of the FSMs for F and S in their partitioned form are represented by the sets of output and next state functions of the corresponding networks. Experimentally, we show that using partitioned representations is much faster than using monolithic representations, as well as applicable to larger problem instances.
AbstractList A class of discrete event synthesis problems can be reduced to solving language equations f ? X ? S, where F is the fixed component and S the specification. Sequential synthesis deals with FSMs when the automata for F and S are prefix closed, and are naturally represented by multi-level networks with latches. For this special case, we present an efficient computation, using partitioned representations, of the most general prefix-closed solution of the above class of language equations. The transition and the output relations of the FSMs for F and S in their partitioned form are represented by the sets of output and next state functions of the corresponding networks. Experimentally, we show that using partitioned representations is much faster than using monolithic representations, as well as applicable to larger problem instances.
A class of discrete event synthesis problems can be reduced to solving language equations, F /spl middot/ X /spl sube/ S, where F is the fixed component and S the specification. Sequential synthesis deals with FSMs when the automata for F and S are prefix closed. and are naturally represented by multi-level networks with latches. For this special case, we present an efficient computation, using partitioned representations, of the most general prefix-closed solution of the above class of language equations. The transition and the output relations of the FSMs for F and S in their partitioned form are represented by the sets of output and next state functions of the corresponding networks. Experimentally, we show that using partitioned representations is much faster than using monolithic representations, as well as applicable to larger problem instances.
Author Yevtushenko, Nina
Brayton, Robert
Jiang, Roland
Villa, Tiziano
Mishchenko, Alan
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  givenname: Alan
  surname: Mishchenko
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  organization: University of California, Berkeley
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  givenname: Robert
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  fullname: Brayton, Robert
  organization: University of California, Berkeley
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  givenname: Roland
  surname: Jiang
  fullname: Jiang, Roland
  organization: University of California, Berkeley
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  givenname: Tiziano
  surname: Villa
  fullname: Villa, Tiziano
  organization: University of Udine, Italy
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  givenname: Nina
  surname: Yevtushenko
  fullname: Yevtushenko, Nina
  organization: Tomsk State University, Russia
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Snippet A class of discrete event synthesis problems can be reduced to solving language equations f X S, where F is the fixed component and S the specification....
A class of discrete event synthesis problems can be reduced to solving language equations, F /spl middot/ X /spl sube/ S, where F is the fixed component and S...
A class of discrete event synthesis problems can be reduced to solving language equations f ? X ? S, where F is the fixed component and S the specification....
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StartPage 418
SubjectTerms Automata
Boolean functions
Computing methodologies -- Symbolic and algebraic manipulation -- Symbolic and algebraic algorithms
Data structures
Equations
Formal verification
Hardware -- Hardware validation -- Functional verification
Hardware -- Integrated circuits -- Logic circuits -- Sequential circuits
Image converters
Input variables
Network synthesis
Protocols
Testing
Theory of computation -- Design and analysis of algorithms
Theory of computation -- Formal languages and automata theory
Title Efficient Solution of Language Equations Using Partitioned Representations
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