Modalities and predicates have since ancient time been central notions of logic. In the 20th century, various systems of non-classical logics have emerged, with applications in many disciplines like Computer Science, Linguistics, Mathematics, and Philosophy. This 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.

Although there are many good conferences on (mainly propositional) non-classical logics, this conference is one solely dedicated to modal and predicate non-classical logics. The aim of the conference is to bring together researchers from various branches of non-classical logics, not only to present recent advances in their particular fields, but also to identify common problems and methods and foster the exchange of ideas between researchers from separate fields.

Topics of interest:

• 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
• Predicate substructural logics
• Predicate many-valued and partial logics
• Predicate paraconsistent logics
• Predicate non-monotonic logics, etc.
• Non-classical theories of quantification over classical logics, 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

We accept both purely theoretical works on the above logics coming from all branches of mathematical logic (proof-theory, model theory, game theory, computational complexity, etc.), as well as their application in the foundation of mathematics (non-classical mathematics), computer science, linguistics, philosophy, etc.

Strong papers on propositional logics can also be accepted, provided they relate to the themes in the main scope of the conference (e.g., the study of completions in algebraic semantics, propositional quantification, etc.).

Full versions of selected papers will be published in a special issue of an international peer-reviewed journal (to be specified).