Randomized trial identifies properties of binary relations in hybrid logic models, suggesting novel calculi design.
Hybrid logic extends modal logic with special propositions called nominals, each of which is true at only one state in a model. This enables us to describe some properties of binary relations, such as irreflexivity and anti-symmetry, which are essential to treat partial orders. We present terminating tableau calculi complete with respect to some classes of models whose accessibility relations are strictly partially ordered, unbounded strictly partially ordered, partially ordered, strictly totally ordered and totally ordered.
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Yuki Nishimura (2026) studied this question.
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