The field of formal verification and automated reasoning is experiencing significant advancements, driven by innovative techniques and tools. Recent developments have focused on improving the efficiency and effectiveness of formal verification environments, such as the integration of constraint logic programming languages with formal verification tools. Additionally, new data structures and algorithms have been introduced to enhance the performance of term ordering checks, a crucial component in saturation-based proof search. Notably, the use of similarity-driven retrieval and agentic systems has shown promising results in generative artificial intelligence for interactive theorem proving. Furthermore, certified algorithms for numerical semigroups have been formalized, providing a foundation for reliable computations. The field is also witnessing significant progress in the development of new formalisms, such as agent interpolation for knowledge, which has led to the establishment of decidability and the finite model property for multi-agent S5. Specifically, papers such as 'From a Constraint Logic Programming Language to a Formal Verification Tool' and 'Term Ordering Diagrams' have made noteworthy contributions to the field, introducing novel approaches to formal verification and term ordering checks, respectively.