Decker, Normann2011-08-182016-03-312011-08-182016-03-312011350499373http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-66043http://elib.uni-stuttgart.de/handle/11682/2744http://dx.doi.org/10.18419/opus-2727Inherently unreliable or fault-tolerant systems demand for a specification formalism that allows the user to express a required ratio of certain observations. Such a requirement can be, e.g. that deadlines in a real-time system must be met in at least 80% of all cases. Logics and in particular temporal logics provide powerful, flexible and well established specification formalisms. We therefore propose fLTL, an extension to linear-time temporal logic that allows for expressing relative frequencies by an intuitive generalization of the temporal operators. We develop a game theoretical methodology and a semantics for temporal logic with counters. For our novel logic, we establish an undecidability result regarding the satisfiability problem but identify a decidable fragment which strictly increases the expressiveness of linear-time temporal logic by allowing, e.g., to express non-context-free properties.eninfo:eu-repo/semantics/openAccess004Specification and Verification , Temporal Logic , Relative Frequency , Availability , Counter LogicmasterThesis