TY - JOUR
T1 - Synthesis from component libraries with costs
AU - Avni, Guy
AU - Kupferman, Orna
N1 - Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2018/2/15
Y1 - 2018/2/15
N2 - Synthesis is the automated construction of a system from its specification. In real life, hardware and software systems are rarely constructed from scratch. Rather, a system is typically constructed from a library of components. Lustig and Vardi formalized this intuition and studied LTL synthesis from component libraries. In real life, designers seek optimal systems. In this paper we add optimality considerations to the setting. We distinguish between quality considerations (for example, size – the smaller a system is, the better it is), and pricing (for example, the payment to the company who manufactured the component). We study the problem of designing systems with minimal quality-cost and price. A key point is that while the quality cost is individual – the choices of a designer are independent of choices made by other designers that use the same library, pricing gives rise to a resource-allocation game – designers that use the same component share its price, with the share being proportional to the number of uses (a component can be used several times in a design). We study both closed and open settings, and in both we solve the problem of finding an optimal design. In a setting with multiple designers, we also study the game-theoretic problems of the induced resource-allocation game.
AB - Synthesis is the automated construction of a system from its specification. In real life, hardware and software systems are rarely constructed from scratch. Rather, a system is typically constructed from a library of components. Lustig and Vardi formalized this intuition and studied LTL synthesis from component libraries. In real life, designers seek optimal systems. In this paper we add optimality considerations to the setting. We distinguish between quality considerations (for example, size – the smaller a system is, the better it is), and pricing (for example, the payment to the company who manufactured the component). We study the problem of designing systems with minimal quality-cost and price. A key point is that while the quality cost is individual – the choices of a designer are independent of choices made by other designers that use the same library, pricing gives rise to a resource-allocation game – designers that use the same component share its price, with the share being proportional to the number of uses (a component can be used several times in a design). We study both closed and open settings, and in both we solve the problem of finding an optimal design. In a setting with multiple designers, we also study the game-theoretic problems of the induced resource-allocation game.
KW - Component libraries
KW - Cost-sharing games
KW - Lattice automata
KW - Synthesis
UR - http://www.scopus.com/inward/record.url?scp=85034424453&partnerID=8YFLogxK
U2 - 10.1016/j.tcs.2017.11.001
DO - 10.1016/j.tcs.2017.11.001
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AN - SCOPUS:85034424453
SN - 0304-3975
VL - 712
SP - 50
EP - 72
JO - Theoretical Computer Science
JF - Theoretical Computer Science
ER -