4 papers
Proof Theory and Interpolation for Sacchetti's Logics
Borja Sierra Miranda, Thomas Studer
We study the proof theory of Sacchetti's modal logics, a family of logics generalizing Gödel--Löb provability logic by replacing transitivity with n-transitivity. We make three m…
Proof Theory for Bimodal Provability Logics
Borja Sierra Miranda, Thomas Studer
We provide the first (non-labelled) sequent calculi for bimodal provability logics with "usual" provability predicates. In particular, we introduce calculi for the logics CS, CSM a…
Provability Models
Mojtaba Mojtahedi, Borja Sierra Miranda
In this paper, we study a new Kripke-style semantics for classical modal logic, named as provability models. We study provability models for the propositional modal logics K, K4, S…
Uniform interpolation for interpretability logic
Sebastijan Horvat, Borja Sierra Miranda, Thomas Studer
We present a proof-theoretical study of the interpretability logic IL, providing a wellfounded and a non-wellfounded sequent calculus for IL. The non-wellfounded calculus is used t…