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 ...

Does God really exist? This is a question that has stirred the human heart for centuries, crossing cultures, philosophies, and faiths. In today’s world, the debate is as alive as ever, with science, ...

Justification logic extends traditional modal frameworks by introducing explicit representations of evidential support, thereby refining our understanding of epistemic reasoning. In contrast to ...

We give a constructive proof of McNaughton's theorem stating that every piecewise linear function with integral coefficients is representable by some sentence in the infinite-valued calculus of ...