Free Algebras Corresponding to Multiplicative Classical Linear Logic and some Extensions Andreja Prijatelj Abstract: Free Algebras Corresponding to Multiplicative Classical Linear Logic and some Extensions. Andreja Prijatelj In this paper, constructions of free algebras corresponding to multiplicative classical linear logic, its affine variant and their extensions with ncontraction (n >= 2) are given. As an application, the cardinality problem of some onevariable linear fragments with ncontraction is solved.