International Jubilee Conference on Mathematical and Computational Linguistics dedicated to the 30th anniversary of the Department of Mathematical Linguistics, held in Sofia, Bulgaria, on 6 July 2007. The Conference was carried out jointly with the International Jubilee Conference New Trends in Mathematics and Informatics dedicated to the 60th anniversary of the Institute of Mathematics and Informatics of Bulgarian Academy of Sciences. The papers discuss current trends and achievements in the field of Mathematical and Computational Linguistics and applications.