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The Asian Logic Conference (ALC) is a major international event in mathematical logic. It features the latest scientific developments in the fields of mathematical logic and its applications, logic in computer science, and philosophical logic. The ALC series also aims to promote mathematical logic in the Asia-Pacific region and to bring logicians together both from within Asia and elsewhere for an exchange of information and ideas. This combined proceedings volume represents works presented or arising from the 14th and 15th ALCs.

The Asian Logic Conference is the most significant logic meeting outside of North America and Europe, and this volume represents work presented at, and arising from the 12th meeting. It collects a number of interesting papers from experts in the field. It covers many areas of logic.

This volume presents the combined proceedings of two major conferences in mathematical logic — the 16th Asian Logic Conference (ALC) and the 14th International Conference on Computability, Complexity and Randomness (CCR) — held at Nazarbayev University, Astana, Kazakhstan, from 17-21 June 2019 and 23-25 June 2019, respectively. ALC is a prominent international event promoting research and collaboration in logic across the Asia-Pacific region, featuring developments in mathematical logic, logic in computer science, and philosophical logic. CCR focuses on algorithmic information theory, Kolmogorov complexity, and their intersections with computability, complexity theory, and reverse mathematics.This collection brings together leading voices in the field, offering fresh perspectives and state-of-the-art research in logic, computability, set theory, and model theory. It is an essential resource for researchers, scholars, and students interested in contemporary developments in mathematical logic and its applications.