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Using Tree Automata to Investigate Intuitionistic Propositional Logic

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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.

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2008-07-30T21:15:01Z

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mathematics; logic

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Government Document

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dissertation or thesis

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