A Q-Heyting algebra is an algebra (H ; ∨; ∧; →; ∇; 0; 1) of type (2; 2; 2; 1; 0; 0) such that (H ; ∨; ∧; →; 0; 1) is a Heyting algebra and the unary operation ∇ satisÿes the conditions ∇0=0, a ∧ ∇a = a, ∇(a ∧ ∇b) = ∇a ∧ ∇b and ∇(a ∨ b) = ∇a ∨ ∇b, for any a, b ∈ H . This paper is devoted to the study
✦ LIBER ✦
Varieties of Three-Valued Heyting Algebras with a Quantifier
✍ Scribed by M. Abad; J.P. Díaz Varela; L.A. Rueda; A.M. Suardíaz
- Book ID
- 110221193
- Publisher
- Springer Netherlands
- Year
- 2000
- Tongue
- English
- Weight
- 226 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0039-3215
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## Abstract The theory of algebraically closed non‐Archimedean valued fields is proved to eliminate quantifiers in an analytic language similar to the one used by Cluckers, Lipshitz, and Robinson. The proof makes use of a uniform parameterized normalization theorem which is also proved in this pape