CfP special issue of LJIGPL on non-classical modal and predicate logics

The Logic Journal of the IGPL will publish a special issue on Non-classical Modal and Predicate Logics.

Modalities and predicates have since ancient times been central notions of logic. In the 20th century, various systems of non- classical logics emerged, with applications mainly in Computer Science, but also in many other disciplines such as Linguistics, Mathematics, and Philosophy. Both the theoretical studies and the needs of applications gave rise to the questions of non- classical treatment of quantification and modalities and their accommodation in these non-classical logics. In response, various modal and predicate variants of non-classical logics have been introduced and studied in the past decades.

This special issue is solely dedicated to modal and predicate non-classical logics. Its aim is to bring together papers on both pure and applied aspects of various branches of non- classical logics, not only to present recent advances in their particular fields, but mainly foster the exchange of ideas between researchers focusing on (1) separate branches of non- classical logic and (2) foundational and applied issues.

We invite submissions on both (a) theoretical topics from all branches of mathematical logic (e.g., proof-theory, model theory, game theory, computational complexity, etc.), as well as (b) their applications in various areas (including computer science, linguistics, mathematics, philosophy, etc.).

Topics of interest:

Topics of interest include (but are not limited to):

* The study of first- or higher-order variants of non- classical logics, including, but not limited to: - Predicate intuitionistic and superintuitionistic logics - Predicate modal logics (e.g. epistemic, tense, action) - Predicate substructural logics - Predicate many-valued and partial logics - Predicate paraconsistent logics - Predicate conditional logic - Predicate non-monotonic logics

* Non-classical theories of quantification over classical logic, such as: - Free logics - Branching quantifiers and IF-logic - Generalized quantifiers

* Extensions by modalities of (propositional or predicate) non-classical logics, including: - Modal extensions of (super)intuitionistic, substructural, many-valued, paraconsistent, non-monotonic, etc., logics - Co-algebraic treatment of modalities

* Applications of non-classical modal and predicate logics in various areas, including: - Computer science - Linguistics and logical analysis of natural language - Philosophy - Methodology of science - Foundations of mathematics (non-classical mathematics) - Mathematical social sciences (e.g. social choice theory, game theory, decision theory)

== Deadline for submissions ==

October 31, 2022

== Submissions ==

Papers should be submitted via EasyChair (https://easychair.org/my/conference?conf=ncmplsi2022).

The submissions should be formatted according to the Journal's guidelines (https://academic.oup.com/jigpal/pages/General_Instructions). All submissions will undergo the usual peer-review process by the standards of the Logic Journal of the IGPL.

== Guest editors ==

Libor Behounek (University of Ostrava) Marta Bilkova (Czech Academy of Sciences) Heinrich Wansing (Ruhr University Bochum)

== A related conference ==

This special issue is a follow-up of the conference Non-classical Modal and Predicate Logics, organized in Bochum, Germany, 23-26 November, 2021 (https://sites.google.com/view/ncmpl2021). Although the scope of the special issue is identical with that of the conference, the submissions are not restricted to papers presented at the conference or papers by the participants. Rather, the call is open and any papers within the scope of the special issue are welcome.