Abstract. Metric Temporal Logic (MTL) is a prominent specification formalism for realtime systems. In this paper, we show that the satisfiability problem for MTL over finite tim...
Abstract. This paper presents a decidable fragment for combining ontologies and rules in order-sorted logic programming. We describe ordersorted logic programming with sort, predic...
We solve the open problem of the decidability of Boolean BI logic (BBI), which can be considered as the core of separation and spatial logics. For this, we define a complete phas...
We introduce a new decidable logic for reasoning about infinite arrays of integers. The logic is in the first-order fragment and allows (1) Presburger constraints on existentially...
We present a tool deciding a fragment of set theory. It is designed to be easily accessible via the internet and intuitively usable by anyone who is working with sets to describe a...