A Preservation Theorem for Equality-Free Horn Sentences

Theoria 15 (3):517-530 (2000)
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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DOI theoria200015341
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