Hybrid languages

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.
Keywords Modal logic  correspondence theory  first-order fragments  hybrid languages
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DOI 10.1007/BF01049415
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References found in this work BETA
Wilfrid Hodges, Model Theory. Stanford Encyclopedia of Philosophy.
Maarten de Rijke (1992). The Modal Logic of Inequality. Journal of Symbolic Logic 57 (2):566-584.
George Gargov & Valentin Goranko (1993). Modal Logic with Names. Journal of Philosophical Logic 22 (6):607 - 636.

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Citations of this work BETA
Johan van Benthem (2012). The Range of Modal Logic. Journal of Applied Non-Classical Logics 9 (2-3):407-442.
Igor Yanovich (2015). Expressive Power of “Now” and “Then” Operators. Journal of Logic, Language and Information 24 (1):65-93.
Joshua Sack (2008). Temporal Languages for Epistemic Programs. Journal of Logic, Language and Information 17 (2):183-216.

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