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Special issue of the Logic Journal of the IGPL
on Non-classical Modal and Predicate Logics

Submissions to the special issue are closed. The submitted articles are currently (last update: November 2022) undergoing the peer-review process.

Call for papers (2022)

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 and present recent advances in their particular fields. We invite submissions on both (a) theoretical topics from all branches of mathematical logic (including proof-theory, model theory, game theory, computational complexity, etc.) as well as (b) their applications in various areas (such as 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 (relevant, linear, fuzzy, etc.)
  • Predicate many-valued and partial logics
  • Predicate paraconsistent logics
  • Predicate contra-classical logics
  • Predicate conditional logic
  • Predicate non-monotonic logics
• Non-classical theories of quantification over classical logic, such as:
  • Free logics
  • Branching quantifiers, dependence logic, and IF-logic
  • Generalized quantifiers
  • Propositional quantification
• 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)

Submissions

Papers should be submitted via EasyChair. The submissions should be formatted according to the Journal's guidelines. The deadline for submissions is 30 September 2022 extended until 31 October 2022.

All submissions will undergo the usual peer-review process by the standards of the Logic Journal of the IGPL. For queries and requests, please contact the guest editors by email.

Guest editors

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

A related conference

The special issue is a follow-up to the third international conference Non-classical Modal and Predicate Logics, organized in Bochum, Germany, 23-26 November, 2021. 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 to papers by the participants. Rather, this call is open and any papers within the scope of the special issue are welcome.