Dynamic logic offers a formal framework to reason about actions, transitions and the evolution of systems over time. It extends classical modal logic by incorporating operators that capture state ...

The relevant modal logic G is a simple extension of the logic RT, the relevant counterpart of the familiar classically based system T. Using the Routley-Meyer semantics for relevant modal logics, this ...

A hypermodality is a connective whose meaning depends on where in the formula it occurs. The paper motivates the notion and shows that hypermodal logics are much more expressive than traditional modal ...

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, originally conceived as the logic of necessity and possibility, has developed into a powerful mathematical discipline that deals with (restricted) description languages for talking about ...

Logic is the study of reasoning. Alethic modal logic studies reasoning by using modalities of truth such as possibility, impossibility, and necessity. Because the premises and conclusions of the ...

When Gödel died in 1978, he left behind a tantalizing theory based on principles of modal logic -- that a higher being must exist. The details of the mathematics involved in Gödel's ontological proof ...