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Interpolation for extended modal languages
Journal of Symbolic Logic 70 (1):223-234 (2005)
Abstract
Several extensions of the basic modal language are characterized in terms of interpolation. Our main results are of the following form: Language ℒ' is the least expressive extension of ℒ with interpolation. For instance, let ℳ be the extension of the basic modal language with a difference operator [7]. First-order logic is the least expressive extension of ℳ with interpolation. These characterizations are subsequently used to derive new results about hybrid logic, relation algebra and the guarded fragmentLinks
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Citations of this work
Pure Extensions, Proof Rules, and Hybrid Axiomatics.Patrick Blackburn & Balder Ten Cate - 2006 - Studia Logica 84 (2):277-322.
Modal Frame Correspondences and Fixed-Points.Johan Van Benthem - 2006 - Studia Logica 83 (1-3):133-155.
First-Order Modal Logic: Frame Definability and a Lindström Theorem.R. Zoghifard & M. Pourmahdian - 2018 - Studia Logica 106 (4):699-720.
Guards, Bounds, and generalized semantics.Johan van Benthem - 2005 - Journal of Logic, Language and Information 14 (3):263-279.
Local properties in modal logic.Hans van Ditmarsch, Wiebe van der Hoek & Barteld Kooi - 2012 - Artificial Intelligence 187-188 (C):133-155.
References found in this work
Modal Languages and Bounded Fragments of Predicate Logic.Hajnal Andréka, István Németi & Johan van Benthem - 1998 - Journal of Philosophical Logic 27 (3):217 - 274.
Modal logic with names.George Gargov & Valentin Goranko - 1993 - Journal of Philosophical Logic 22 (6):607 - 636.
Interpolation and Definability in Guarded Fragments.Eva Hoogland & Maarten Marx - 2002 - Studia Logica 70 (3):373-409.
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