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Hybrid Ockhamist Temporal Logic


Patrick Blackburn and Valentin Goranko

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Abstract

We introduce hybrid Ockhamist temporal logic, which combines the mechanisms of hybrid logic with Ockhamist semantics by employing nominals, satisfaction operators, binders, and quantifiers over branches. We provide a complete (with respect to bundled trees semantics) axiomatic system for the basic hybrid Ockhamist temporal logic (HOT) and for some of its extensions, including the full hybrid Ockhamist temporal logic. The full system is expressively equivalent to the first-order logic over trees extended with branch quantifiers which was proved decidable by Gurevich and Shelah.


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