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### Separating intermediate predicate logics of well-founded and dually well-founded structures by monadic sentences / A. Beckmann; N. Preining; Arnold Beckmann

Journal of Logic and Computation

Swansea University Author:

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DOI (Published version): 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~$\omega^\omega$. We show that two such logics of different order-type are separated by a first-o...

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Published in: Journal of Logic and Computation 2014 https://cronfa.swan.ac.uk/Record/cronfa17522 No Tags, Be the first to tag this record!
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~$\omega^\omega$. 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. College of Science