Ruitenburg, Wim Very intuitionistic theories and quantifier elimination. (English) Zbl 1303.03070 Rev. Mod. Log. 10 (2004/2005), No. 1-2, 99-112 (2005). Summary: We show methods to construct, and give examples of, consistent intuitionistic theories that admit quantifier elimination. The examples are very intuitionistic in the sense that they prove the negation of the schema of linearity. Cited in 1 Document MSC: 03C10 Quantifier elimination, model completeness, and related topics 03F55 Intuitionistic mathematics Keywords:quantifier elimination; intuitionistic logic; Kripke model PDF BibTeX XML Cite \textit{W. Ruitenburg}, Rev. Mod. Log. 10 (2004/2005), No. 1--2, 99--112 (2005; Zbl 1303.03070) Full Text: Euclid