Reactive synthesis automatically derives a strategy that satisfies a given specification. However, requiring a strategy to meet the specification in every situation is, in many cases, too hard of a requirement. Particularly in compositional synthesis of distributed systems, individual winning strategies for the processes often do not exist. Remorsefree dominance, a weaker notion than winning, accounts for such situations: dominant strategies are only required to be as good as any alternative strategy, i.e., they are allowed to violate the specification if no other strategy would have satisfied it in the same situation. The composition of dominant strategies is only guaranteed to be dominant for safety properties, though; preventing the use of dominance in compositional synthesis for liveness specifications. Yet, safety properties are often not expressive enough. In this paper, we thus introduce a new winning condition for strategies, called delay-dominance, that overcomes this weakness of remorsefree~dominance: we show that it is compositional for many safety and liveness specifications, enabling a compositional synthesis algorithm based on delay-dominance for general specifications. Furthermore, we introduce an automaton construction for recognizing delay-dominant strategies and prove its soundness and completeness. The resulting automaton is of single-exponential size in the squared length of the specification and can immediately be used for safraless synthesis procedures. Thus, synthesis of delay-dominant strategies is, as synthesis of winning strategies, in 2EXPTIME.
翻译：重新激活合成自动产生符合特定规格的战略。然而,在许多情况下,要求一项战略满足每个情况的具体要求要求过于苛刻。特别是分布式系统的组成合成中,通常并不存在单个的得胜战略,而各个分布式系统的组成合成中,单个的得胜战略往往并不存在。无悔的主导地位,比赢弱的概念更弱,是这种情况的原因:支配性战略只需要与任何替代战略一样好,也就是说,如果没有任何其他战略能在同一情况下满足规格要求,它们就被允许违反规格。主导性战略的组成只保证在安全特性方面占主导地位;虽然,防止在合成合成中使用主导地位,以活性规范为目的。然而,安全特性往往不够明确。在本文件中,我们因此为战略引入一个新的得胜条件,称为延迟占主导地位,从而克服了无悔无悔的主导地位:我们表明,主导性战略的构成许多安全和活性规格,使得基于延迟偏重度的一般规格的构成合成算法得以实现。此外,我们引入了不易演算式结构,承认延迟支配性战略中的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的占主导地位的多数。然而,然而,然而,然而,然而,然而,然而,但安全的特性的特性的特性的特性的特性的特性的特性的特性的特性的特性的特性的特性的特性的特性的特性往往往往。然而,但往往,但往往,但安全的特性的特性的特性的特性的特性的特性的特性的特性的特性的特性的特性的特性的特性的特性往往的特性往往。在本文的特性往往。在本文的特性的特性的特性往往往往往往往往,因此,因此,因此,因此,因此,因此,因此,因此,因此,因此,因此,因此,
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