We show that the variety of Heyting algebras has finitary unification type. We also show that the subvariety obtained by adding it De Morgan law is the biggest variety of Heyting algebras having unitary unification type. Proofs make essential use of suitable characterizations (both from the semantic and the syntactic side) of finitely presented projective algebras.
Unification in intuitionistic logic / S. Ghilardi. - In: THE JOURNAL OF SYMBOLIC LOGIC. - ISSN 0022-4812. - 64:2(1999), pp. 859-880. [10.2307/2586506]
Unification in intuitionistic logic
S. Ghilardi
1999
Abstract
We show that the variety of Heyting algebras has finitary unification type. We also show that the subvariety obtained by adding it De Morgan law is the biggest variety of Heyting algebras having unitary unification type. Proofs make essential use of suitable characterizations (both from the semantic and the syntactic side) of finitely presented projective algebras.
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