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 games with both lexicographic mean-payoff and parity objectives (for liveness requirements). We present algorithms for solving both kinds of novel graph games.
This research was supported by the Swiss National Science Foundation (Indo-Swiss Research Program and NCCR MICS) and the European Union projects COMBEST and COCONUT.
140 - 156
CAV: Computer Aided Verification
2009-06-26 – 2009-07-02
Bloem R, Chatterjee K, Henzinger TA, Jobstmann B. Better quality in synthesis through quantitative objectives. In: Vol 5643. Springer; 2009:140-156. doi:10.1007/978-3-642-02658-4_14
Bloem, R., Chatterjee, K., Henzinger, T. A., & Jobstmann, B. (2009). Better quality in synthesis through quantitative objectives (Vol. 5643, pp. 140–156). Presented at the CAV: Computer Aided Verification, Grenoble, France: Springer. https://doi.org/10.1007/978-3-642-02658-4_14
Bloem, Roderick, Krishnendu Chatterjee, Thomas A Henzinger, and Barbara Jobstmann. “Better Quality in Synthesis through Quantitative Objectives,” 5643:140–56. Springer, 2009. https://doi.org/10.1007/978-3-642-02658-4_14.
R. Bloem, K. Chatterjee, T. A. Henzinger, and B. Jobstmann, “Better quality in synthesis through quantitative objectives,” presented at the CAV: Computer Aided Verification, Grenoble, France, 2009, vol. 5643, pp. 140–156.
Bloem R, Chatterjee K, Henzinger TA, Jobstmann B. 2009. Better quality in synthesis through quantitative objectives. CAV: Computer Aided Verification, LNCS, vol. 5643, 140–156.
Bloem, Roderick, et al. Better Quality in Synthesis through Quantitative Objectives. Vol. 5643, Springer, 2009, pp. 140–56, doi:10.1007/978-3-642-02658-4_14.