The field of logical reasoning and formal verification is witnessing significant advancements, driven by innovations in areas such as relational semantics, mechanized proof systems, and corecursion. Researchers are developing more expressive and efficient frameworks for formalizing and verifying complex systems, including those involving timed message-passing protocols, separation logic, and continuous counters. Notably, the development of libraries like LockForge and Coco, and the introduction of new logics such as Bifurcation Logic, are pushing the boundaries of what can be formally verified and analyzed. Noteworthy papers include LockForge, which introduces a multi-agent LLM framework for automating paper-to-code translation of logic locking schemes, and Formalizing Computational Paths and Fundamental Groups in Lean, which presents a complete mechanization of computational paths in Lean 4. These developments are expected to have a significant impact on the field, enabling more rigorous and efficient verification of complex systems and advancing our understanding of the underlying logical and mathematical structures.