In this paper we demonstrate decidability for the intuitionistic modal logic S4 first formulated
by Fischer Servi. This solves a problem that has been open for almost thirty years since it …

In this work, we explore the connections between (linear) nested sequent calculi and
ordinary sequent calculi for normal and non-normal modal logics. By proposing local …

Adding multi-modalities (called subexponentials) to linear logic enhances its power as a
logical framework, which has been extensively used in the specification of eg proof systems …

The logic of Bunched Implications (BI) freely combines additive and multiplicative
connectives, including implications; however, despite its well-studied proof theory, proof …

Logic is the study of reasoning. Typically, it proceeds in terms of inferring a conclusion from
established premises. The systematic use of symbolic and mathematical techniques to …

We present a simple Prolog prover for intuitionistic modal logics based on nested sequent
proof systems. We have implemented single-conclusion systems (Gentzen-style) and multi …

Recent works about ecumenical systems, where connectives from classical and intuitionistic
logics can co-exist in peace, warmed the discussion on proof systems for combining logics …

We develop multi-conclusion nested sequent calculi for the fifteen logics of the intuitionistic
modal cube between IK and IS5. The proof of cut-free completeness for all logics is provided …

In this work, we investigate the proof theoretic connections between sequent and nested
proof calculi. Specifically, we identify general conditions under which a nested calculus can …

In this paper we extend Hughes' combinatorial proofs to modal logics. The crucial ingredient
for modeling the modalities is the use of a self-dual non-commutative operator that has first …