0559445 - ÚI 2023 RIV DE eng J - Článek v odborném periodiku
Goris, E. - Bílková, Marta - Joosten, J.J. - Mikec, L.
Theory and Application of Labelling Techniques for Interpretability Logics.
Mathematical Logic Quarterly. Roč. 68, č. 3 (2022), s. 352-374. ISSN 0942-5616. E-ISSN 1521-3870
Institucionální podpora: RVO:67985807
Klíčová slova: modal logic * interpretability logic * Veltman semantics * completeness
Obor OECD: Pure mathematics
Impakt faktor: 0.3, rok: 2022 ; AIS: 0.398, rok: 2022
Způsob publikování: Omezený přístup
Web výsledku:
https://dx.doi.org/10.1002/malq.202200015DOI: https://doi.org/10.1002/malq.202200015

The notion of a critical successor [5] in relational semantics has been central to most classic modal completeness proofs in interpretability logics. In this paper we shall work with a more general notion, that of an assuring successor. This will enable more concisely formulated completeness proofs, both with respect to ordinary and generalised Veltman semantics. Due to their interesting theoretical properties, we will devote some space to the study of a particular kind of assuring labels, the so-called full labels and maximal labels. After a general treatment of assuringness, we shall apply it to obtain a completeness result for the modal logic ILP w.r.t. generalised semantics for a restricted class of frames.
Trvalý link: https://hdl.handle.net/11104/0332745