Better Quality in Synthesis through Quantitative Objectives

Abstract. Most specification languages express only qualitative constraints. However, among two implementations that satisfy a given specification, one may be preferred to another. For example, if a specification asks that every request is followed by a response, one may prefer an implementation that generates responses quickly but does not generate unnecessary responses. We use quantitative properties to measure the "goodness" of an implementation. Using games with corresponding quantitative objectives, we can synthesize "optimal" implementations, which are preferred among the set of possible implementations that satisfy a given specification. In particular, we show how automata with lexicographic mean-payoff conditions can be used to express many interesting quantitative properties for reactive systems. In this framework, the synthesis of optimal implementations requires the solution of lexicographic mean-payoff games (for safety requirements), and the solution of...

• Type: Conference
• Year: 2009
• Where: CAV
• Authors: Roderick Bloem, Krishnendu Chatterjee, Thomas A. Henzinger, Barbara Jobstmann
• Keywords: CAV 2009, Formal Methods, Lexicographic Mean-payoff Conditions, Lexicographic Mean-payoff Games, Most Specification Languages