Hybrid languages
Journal of Logic, Language and Information 4 (3):251-272 (1995)
| Abstract | Hybrid languages have both modal and first-order characteristics: a Kripke semantics, and explicit variable binding apparatus. This paper motivates the development of hybrid languages, sketches their history, and examines the expressive power of three hybrid binders. We show that all three binders give rise to languages strictly weaker than the corresponding first-order language, that full first-order expressivity can be gained by adding the universal modality, and that all three binders can force the existence of infinite models and have undecidable satisfiability problems. | |||||||||
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Torben BraÜner (2005). Natural Deduction for First-Order Hybrid Logic. Journal of Logic, Language and Information 14 (2).
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Carlos Areces, Patrick Blackburn & Maarten Marx (2001). Hybrid Logics: Characterization, Interpolation and Complexity. Journal of Symbolic Logic 66 (3):977-1010.
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P. Blackburn & B. ten Cate (2006). Pure Extensions, Proof Rules, and Hybrid Axiomatics. Studia Logica 84 (2):277 - 322.
Martin Lange (2009). Model Checking for Hybrid Logic. Journal of Logic, Language and Information 18 (4).
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