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We show that several reducts of Heyting polyadic algebras of infinitedimension, with and without equality enjoy various amalgamation properties. Inthe equality free case we obtain superamalgamation, but when we have equalitywe obtain a weaker interpolation property, for the corresponding infinitaryintuitionistic logic with equality.

The superamalgamation property for reducts of Heyting polyadic algebras with and without equality