Tradition states that above the entrance to Plato’s Academy were inscribed the words, “Let no one ignorant of geometry enter here.” A student in the modal logic interim course studies how subjunctives ...

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

The unification problem in a normal modal logic is to determine, given a formula φ, whether there exists a substitution σ such that σ(φ) is in that logic. In that case, σ is a unifier of φ. We shall ...

Studia Logica: An International Journal for Symbolic Logic, Vol. 60, No. 1, Natural Deduction (Jan., 1998), pp. 161-208 (48 pages) We present and discuss various formalizations of Modal Logics in ...

In 1959, a paper appeared in The Journal of Symbolic Logic, with the unimpressive-sounding title “A Completeness Theorem in Modal Logic.” A completeness theorem is a guarantee that every universal ...

15:00 - 15:15 Katsuhiko Sano and Sakiko Yamasaki: Subformula property and Craig interpolation theorem of sequent calculi for tense logics Valentin Shehtman and Dmitry Shkatov: Some prospects for ...

An introduction to modal and many-valued logics, with emphasis on philosophical motivation through a study of applications and paradoxes. Reading: PP, selections from Chs. 11-12.

Papers on related subjects will also be considered. (1) Full papers for publication in the proceedings and presentation at the conference. (2) Short presentations intended for presentation at the ...