Document Zbl 1303.03070

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.

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MSC:

03C10	Quantifier elimination, model completeness, and related topics
03F55	Intuitionistic mathematics

Keywords:

quantifier elimination; intuitionistic logic; Kripke model

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Very intuitionistic theories and quantifier elimination. (English) Zbl 1303.03070

MSC:

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