Computer Science – Logic in Computer Science
Scientific paper
2011-02-21
EPTCS 50, 2011, pp. 17-32
Computer Science
Logic in Computer Science
In Proceedings iWIGP 2011, arXiv:1102.3741
Scientific paper
10.4204/EPTCS.50.2
We show how to automatically construct a system that satisfies a given logical specification and has an optimal average behavior with respect to a specification with ratio costs. When synthesizing a system from a logical specification, it is often the case that several different systems satisfy the specification. In this case, it is usually not easy for the user to state formally which system she prefers. Prior work proposed to rank the correct systems by adding a quantitative aspect to the specification. A desired preference relation can be expressed with (i) a quantitative language, which is a function assigning a value to every possible behavior of a system, and (ii) an environment model defining the desired optimization criteria of the system, e.g., worst-case or average-case optimal. In this paper, we show how to synthesize a system that is optimal for (i) a quantitative language given by an automaton with a ratio cost function, and (ii) an environment model given by a labeled Markov decision process. The objective of the system is to minimize the expected (ratio) costs. The solution is based on a reduction to Markov Decision Processes with ratio cost functions which do not require that the costs in the denominator are strictly positive. We find an optimal strategy for these using a fractional linear program.
Essen Christian von
Jobstmann Barbara
No associations
LandOfFree
Synthesizing Systems with Optimal Average-Case Behavior for Ratio Objectives does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Synthesizing Systems with Optimal Average-Case Behavior for Ratio Objectives, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Synthesizing Systems with Optimal Average-Case Behavior for Ratio Objectives will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-519854