In this paper, coauthored with Marco Abbadini and Federica Di Stefano, we prove that the unification type of Lukasiewicz logic with a finite number of variables is either infinitary or nullary. To achieve this result we use Ghilardi’s categorical characterisation…
We prove that the unification type of Lukasiewicz infinite-valued propositional logic and of its equivalent algebraic semantics, the variety of MV-algebras,is nullary. The proof rests upon Ghilardi’s algebraic characterisation of unification types in terms of projective objects, recent progress by…
This is the most updated version of a talk presenting the result contained here. The talk was given in plenary session at Topology, Algebra, and Category in Logic -TACL- V, Marseille, 28$^{th}$ July. 2011 The unification type of Łukasiewicz logic…