USING TREE AUTOMATA TO INVESTIGATE INTUITIONISTIC PROPOSITIONAL LOGIC
Michael O'Connor · eCommons (Cornell University) · 2008
Intuitionistic logic is an important variant of classical logic, but it is not as well-understood, even in the propositional case. In this thesis, we describe a faithful representation of intuitionistic propositional formulas as tree automata. This representation permits a number of consequences, including a characterization theorem for free Heyting algebras, which are the intutionistic analogue of free Boolean algebras, and a new algorithm for solving equations over intuitionistic propositional logic.