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Bibliography

Journal Article

Löwenheim-Skolem theorems for non-classical first-order algebraizable logics

Dellunde P., García-Cerdaña A., Noguera Carles

: Logic Journal of the IGPL vol.24, 3 (2016), p. 321-345

: GA13-14654S, GA ČR

: Löwenheim-Skolem theorems, first-order predicate logics, non-classical logics, algebraizable logics, model theory

: 10.1093/jigpal/jzw009

: http://library.utia.cas.cz/separaty/2016/MTR/noguera-0469168.pdf

(eng): This paper is a contribution to the model theory of non-classical first-order predicate logics. In a wide framework of first-order systems based on algebraizable logics, we study several notions of homomorphisms between models and find suitable definitions of elementary homomorphism, elementary substructure and elementary equivalence. Then we obtain (downward and upward) Löwenheim-Skolem theorems for these non-classical logics, by direct proofs and by describing their models as classical 2-sorted models.

: BA

2019-01-07 08:39