The aim of this course is to present modern syntactic theories. The main three approaches covered are: Categorial Grammars (stemming from the work of Kazimierz Ajdukiewicz), Dependency Grammars (originating in the work of Lucien Tesnière, but its modern and computationally-oriented version – Universal Dependencies – will be covered in some detail in the course) and Formal Grammars (usually associated with Noam Chomsky). Some emphasis will be put on modern constraint-based theories which build on these three general approaches, namely, on Lexical Functional Grammar (Joan Bresnan and Ron Kaplan) and Head-driven Phrase Structure Grammar (Carl Pollard and Ivan Sag).