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A Remark on Superintuitionistic Predicate Logics of Kripke Frames with Constant and with Nested Domains

Title: A Remark on Superintuitionistic Predicate Logics of Kripke Frames with Constant and with Nested Domains
Authors: Skvortsov, Dmitrij
Publisher Information: Oxford University Press
Publication Year: 2011
Collection: HighWire Press (Stanford University)
Subject Terms: Original Articles
Description: The superintuitionistic predicate logics (without or with equality) of all predicate Kripke frames with nested domains over a fixed poset W (a set of possible worlds) are embeddable in the logic (without equality) of all Kripke frames with constant domains over W . Therefore, Takano's result [13] on finite axiomatizability of the logic of Kripke frames with constant domains over the set of real numbers implies the recursive axiomatizability of the corresponding logics with nested domains. Other consequences are mentioned as well.
Document Type: text
File Description: text/html
Language: English
Relation: http://logcom.oxfordjournals.org/cgi/content/short/21/4/697; http://dx.doi.org/10.1093/logcom/exp046
DOI: 10.1093/logcom/exp046
Availability: http://logcom.oxfordjournals.org/cgi/content/short/21/4/697; https://doi.org/10.1093/logcom/exp046
Rights: Copyright (C) 2011, Oxford University Press
Accession Number: edsbas.BB64E9D2
Database: BASE