The Unknown Component Problem
Theory and Applications
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Beschreibung
The Problem of the Unknown Component: Theory and Applications addresses the issue of designing a component that, combined with a known part of a system, conforms to an overall specification. The authors tackle this problem by solving abstract equations over a language. The most general solutions are studied when both synchronous and parallel composition operators are used. The abstract equations are specialized to languages associated with important classes of automata used for modeling systems.
The book is a blend of theory and practice, which includes a description of a software package with applications to sequential synthesis of finite state machines. Specific topologies interconnecting the components, exact and heuristic techniques, and optimization scenarios are studied. Finally the scope is enlarged to domains like testing, supervisory control, game theory and synthesis for special omega languages. The authors present original results of the authors along with an overview of existing ones.
The authors of this book cast the problem as solving abstract equations over language and study the most general (largest) solutions under the synchronous and parallel composition operators. They also apply such equations to languages associated with important classes of automata used for modeling systems, e.g., regular languages as counterparts of finite automata, FSM languages as counterparts of FSMs. The authors investigate the largest subsets of solutions closed with respect to various language properties; in particular, classes of the largest compositional solutions (defined by properties exhibited by the composition of the solution and of the context). The first algorithm to compute the largest compositionally progressive solution of synchronous equations is provided. This approach unifies in a seamless frame previously reported techniques.
Provides a complete account by a unified mathematical model of a synthesis problem that appears in different areas of computer science and design of electronic systems Presents different types of mathematical models that can be used to specify the components of a system Casts the problem of computing the unknown component in the common frame of solving equations over languages and automata Includes supplementary material: sn.pub/extras
Autor*in
Tiziano Villa
Themen in »The Unknown Component Problem«
Automata Component design Component problems FSM languages Language equations Petri Nets Solving abstract equations
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From the reviews:
“Synthesis is a hard computational area that is now becoming accessible, thanks to increasing computational power. It is good to have a book from experts that surveys the techniques available.” (K. Lodaya, ACM Computing Reviews, November, 2012)
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