13 citations · 70 across the 51 of their papers we have counts for
55 papers
Completeness and Incompleteness for Expanding Gödel-Löb Logics
Somayeh Chopoghloo, David Fernández-Duque, Joost J. Joosten +1
Expanding products of modal logics are bimodal logics obtained from the combination of a `horizontal component' logic and a `vertical component' logic, lying between the fusion and…
Coherency through formalisations of Structured Natural Language, A case study on FRETish
Joost J. Joosten, Marina López Chamosa, Sofía Santiago Fernández
Formalisation is the process of writing system requirements in a formal language. These requirements mostly originate in Natural Language. In the field of Formal Methods, formalisa…
Ultrafilter Extensions for Veltman Semantics
Fèlix Frigola González, Joost J. Joosten, Vicent Navarro Arroyo +1
In this paper, we present a first-order frame condition for interpretability logic and show that the condition is not modally definable. Yet, the frame condition holds both on ILM…
The Complexity of the Constructive Master Modality
Sofía Santiago-Fernández, David Fernández-Duque, Joost J. Joosten
We introduce the semantically-defined constructive master-modality logics and , extending the basic constructive modal logic and the Wijesekera-style…
On the Contingency of Logic in Possible World Semantics
Iris van der Giessen, Joost J. Joosten, Paul Mayaux +1
This paper investigates the contingency of logic within the framework of possible world semantics. Possible world semantics captures the meaning of necessitation, i.e., a statement…
The Provably Total Set-Recursive Functions of KPl
Juan Pablo Aguilera, Anton Fernández, Joost J. Joosten
Using relativized ordinal analysis, we give a proof-theoretic characterization of the provably total set-recursive-from- functions of KPl and related theories.