Unity of logic and computation : 19th Conference on Computability in Europe CiE 2023 Batumi Georgia July 24 28 2023 proceedings This book constitutes the refereed proceedings of the 19th International Conference on Unity of Logic and Computation CiE 2023 held in Batumi Georgia during July 24 28 2023. The 23 full papers and 13 invited papers included in this book were carefully reviewed and selected from 51 submissions. They were organized in topical sections as follows: Degree theory; Proof Theory; Computability; Algorithmic Randomness; Computational Complexity; Interactive proofs; and Combinatorial approaches