QUANTIFIED MODAL LOGIC WITH NEIGHBORHOOD SEMANTICS

✍ Scribed by Geir Waagbø; G. Waagbø

• Publisher: John Wiley and Sons
• Year: 1992
• Tongue: English
• Weight: 503 KB
• Volume: 38
• Category: Article
• ISSN: 0044-3050
• DOI: 10.1002/malq.19920380144

✦ Synopsis

Abstract

The paper presents a semantics for quantified modal logic which has a weaker axiomatization than the usual Kripke semantics. In particular, the Barcan Formula (BF) and its converse are not valid with the proposed semantics. Subclasses of models which validate BF and other interesting formulas are presented. A completeness theorem is proved, and the relation between this result and completeness with respect to Kripke models is investigated.