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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/12861

Title: Separating intermediate predicate logics of well-founded and dually well-founded structures by monadic sentences
Authors: Beckmann, Arnold
Preining, Norbert
Keywords: Intermediate logics
Kripke frames
monadic logic
Issue Date: 2014-03-17
Publisher: Oxford University Press
Magazine name: Journal of Logic and Computation
Volume: 25
Number: 3
Start page: 527
End page: 547
DOI: 10.1093/logcom/exu016
Abstract: We consider intermediate predicate logics defined by fixed well-ordered (or dually well-ordered) linear Kripke frames with constant domains where the order-type of the well-order is strictly smaller than ω^ω. We show that two such logics of different order-type are separated by a first-order sentence using only one monadic predicate symbol. Previous results by Minari, Takano and Ono, as well as the second author, obtained the same separation but relied on the use of predicate symbols of unbounded arity.
Rights: © The Author, 2014. Published by Oxford University Press. All rights reserved. This is a pre-copyedited, author-produced PDF of an article accepted for publication in Journal of Logic and Computation following peer review. The version of record [J Logic Computation (2015) 25 (3): 527-547. doi: 10.1093/logcom/exu016] is available online at: http://dx.doi.org/10.1093/logcom/exu016 .
URI: http://hdl.handle.net/10119/12861
Material Type: author
Appears in Collections:z9-10-1. 雑誌掲載論文 (Journal Articles)

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