Syllogistic Logic with Comparative Adjectives

Abstract
This paper adds comparative adjectives to two systems of syllogistic logic. The comparatives are interpreted by transitive and irreflexive relations on the underlying domain. The main point is to obtain sound and complete axiomatizations of the valid formulas in the logics
Keywords Syllogistic logic  Completeness  Adjectives  Transitive relations
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DOI 10.1007/s10849-011-9137-x
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References found in this work BETA
A Semantics for Positive and Comparative Adjectives.Ewan Klein - 1980 - Linguistics and Philosophy 4 (1):1--45.
Logics for the Relational Syllogistic.Ian Pratt-hartmann & Lawrence S. Moss - 2009 - Review of Symbolic Logic 2 (4):647-683.
On Languages with Two Variables.Michael Mortimer - 1975 - Mathematical Logic Quarterly 21 (1):135-140.
Undecidability Results on Two-Variable Logics.Erich Grädel, Martin Otto & Eric Rosen - 1999 - Archive for Mathematical Logic 38 (4-5):313-354.
Inexpressiveness of First-Order Fragments.William C. Purdy - 2006 - Australasian Journal of Logic 4 (7):1-12.

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