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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.
List of contents
Degree theory.- Cupping computably enumerable degrees simultaneously.- The relationship between local and global structure in the enumeration degrees.- A directed system of Scott ideals.- Proof Theory.- The non-normal abyss in Kleene's computability theory.- A Constructive Picture of Noetherianity and Well Quasi-Orders.- Computability.- Symmetry for transfinite computability.- All Melodies are Lost -- Recognizability for weak and strong -ITRMs.- The de Groot dual of represented spaces.- Algorithmic Randomness.- Some Games on Turing Machines and Power from Random Strings.- Inequalities for entropies and dimensions.- Computational Complexity.- Elementarily traceable irrational numbers.- Logic vs topology on regular -languages.- Subrecursive Graphs of Representations of Irrational Numbers.- On the complexity of learning programs.- The Weihrauchcomplexity of the supergraph problem.- Extending Wagner's hierarchy to Deterministic Visibly Pushdown Automata.- On guarded extensions of MMSNP.- Turning block-sequential automata networks into smaller parallel networks with isomorphic limit dynamics.- Interactive proofs.- Structural Complexity of Rational Interactive Proofs.- Physical Zero-Knowledge Proof for Ball Sort Puzzle.- Combinatorial approaches.- Graph subshifts.- Improved Complexity Analysis of Quasi-Polynomial Algorithms Solving Parity Games.- An O( k)-approximation algorithm for minimum power k edge disjoint st-paths.
