On Metric Temporal Łukasiewicz Logic

On Affine Logic and Łukasiewicz Logic

The multi-valued logic of Lukasiewicz is a substructural logic that has been widely studied and has many interesting properties. It is classical, in the sense that it admits the axiom schema of double negation elimination, [DNE]. However, our understanding of Lukasiewicz logic can be improved by separating its classical and intuitionistic aspects. The intuitionistic aspect of Lukasiewicz logic ...

Executing Metric Temporal Logic ?

Querying with Łukasiewicz logic

In this paper we present, by way of case studies, a proof of concept, based on a prototype working on a automotive data set, aimed at showing the potential usefulness of using formulas of Łukasiewicz propositional logic to query databases in a fuzzy way. Our approach distinguishes itself for its stress on the purely linguistic, contraposed with numeric, formulations of queries. Our queries are ...

Making Metric Temporal Logic Rational

We study an extension of MTL in pointwise time with rational expression guarded modality RatI(re) where re is a rational expression over subformulae. We study the decidability and expressiveness of this extension (MTL+φURatI,reφ+RatI,reφ), called RatMTL, as well as its fragment SfrMTL where only star-free rational expressions are allowed. Using the technique of temporal projections, we show tha...

Metric Temporal Logic with Counting

Ability to count number of occurrences of events within a specified time interval is very useful in specification of resource bounded real time computation. In this paper, we study an extension of Metric Temporal Logic (MTL) with two different counting modalities called C and UT (until with threshold), which enhance the expressive power of MTL in orthogonal fashion. We confine ourselves only to...