TL;DR
A translation from K formulae to closed QBF formulae that maps a satisfiable formula to a true one, with an optimisation to close the gap in understanding of how the polynomial hierarchy relates to modal logic - and consequently concept satisfiability in 𝒜ℒ𝒞 .
The theory of Equality with Uninterpreted Functions (EUF) is fundamental to constraint solving and program verification. Uninterpreted functions abstract concrete implementations, enabling generalization and simplification of theorems and proofs. However, standard EUF restricts function composition to fixed finite dept...
This paper explores how reasoning over DL terminologies can be captured in argumentative terms, by establishing a translation into Assumption-Based Argumentation (ABA), a rule-based formalism comprising defeasible assumptions, where argumentation semantics are used to retrieve sets of jointly acceptable assumptions.
This work studies the satisfiability problem for FP(Ł) by presenting an algorithm and conducting an empirical evaluation over a controlled class of FP(Ł)-satisfiability instances, revealing a clear phase transition behaviour and distinctive running-time patterns.
Background: Multi-modal logic has found many applications in computer science, also providing a framework to model temporal and spatial information. Reasoning in this logic is crucial in many real-world applications from different fields. At the same time, these applications live in scenarios characterized by uncertain...
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