The authors introduce an induction-restricted sequent proof system for Transition Algebra that is compact and complete under a new semantics, supporting a model-theoretic proof of Craig interpolation.
50th International Symposium on Mathematical Foundations of Computer Science (MFCS 2025) , pages =
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D-institutions are reformulated using functor categories to introduce variables directly, with compound sentences as functors and a completeness theorem for the associated proof system in predicate logics.
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Induction rules for Transition Algebra
The authors introduce an induction-restricted sequent proof system for Transition Algebra that is compact and complete under a new semantics, supporting a model-theoretic proof of Craig interpolation.
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A formulation of D-institution using functor categories
D-institutions are reformulated using functor categories to introduce variables directly, with compound sentences as functors and a completeness theorem for the associated proof system in predicate logics.