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Syllogistic logic with “most”. (English) Zbl 06484973
Paiva, Valeria (ed.) et al., Logic, language, information, and computation. 22nd international workshop, WoLLIC 2015, Bloomington, IN, USA, July 20–23, 2015. Proceedings. Berlin: Springer (ISBN 978-3-662-47708-3/pbk; 978-3-662-47709-0/ebook). Lecture Notes in Computer Science 9160, 124-139 (2015).
Summary: This paper presents a sound and complete proof system for the logical system whose sentences are of the form All X are Y, Some X are Y and Most X are Y, where we interpret these sentences on finite models, with the meaning of “most” being “strictly more than half”. Our proof system is syllogistic; there are no individual variables.
For the entire collection see [Zbl 1319.03010].

MSC:
03B70 Logic in computer science
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