The k-server conjecture is true

Researchers have proven the k-server conjecture, a long-standing problem in computer science, by demonstrating that the work function algorithm achieves a competitive ratio of k on every metric space. The proof employs an innovative algebraic approach using matrix representations to encode feasible paths and track configuration costs, with updates handled through basis changes and amortized analysis. This result resolves a fundamental question about the performance guarantees of deterministic online algorithms.