This book constitutes the refereed proceedings of the 13th International Tbilisi Symposium on Logic, Language and Computation, TbiLLC 2019, held in Batumi, Georgia, in September 2019. The volume contains 17 full revised papers presented at the conference from 17 submissions. The scientific program consisted of tutorials, invited lectures, contributed talks, and two workshops. The symposium offered two tutorials in language and logic and aimed at students as well as researchers working in the other areas: * Language: Sign language linguistics. State of the art, by Fabian Bross (University of Stuttgart, Germany) * Logic: Axiomatic Semantics, by Graham E. Leigh (University of Gothenburg, Sweden)