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.