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Theoria. Revista de Teoría, Historia y Fundamentos de la Ciencia

Volume 15, Issue 3, Septiembre 2000

Pilar Dellunde
Pages 517-530

A Preservation Theorem for Equality-Free Horn Sentences

We prove the following preservation theorem for the Horn fragment of Equality-free Logic: Theorem 0.1. For any sentence σ ϵ L, the following are equivalent: i ) σ is preserved under Hs , Hs -1 and PR . i i ) σ is logically equivalent to an equality-free Horn sentence.

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