Résume | We study the homomorphism problem for infinite relational structures which can be defined by finitely many first-order formulas over the natural numbers with equality. We determine the decidability status of this problem depending on whether the signature or/and the number of tuples in a single relation are allowed to be infinite.
Joint work with Bartek Klin, Eryk Kopczyński, Sławek Lasota and Szymon Toruńczyk. |