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 ...

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 ...

The Bulletin of Symbolic Logic was established in 1995 by the Association for Symbolic Logic (ASL) to provide a journal of high standards that would be both accessible and of interest to as wide an ...

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

WHEN the brilliant French mathematician Henri Poincaré was not actually doing maths, he liked to think about the nature of mathematical creativity. Logic, he felt, was important, but it was not enough ...