Implementing a Verified Efficient RUP Checker

To ensure the correctness of high performance satisfiability (SAT) solvers, several proof formats have been proposed. SAT solvers can report a formula being unsatisfiable with a proof, which can be independently verified by a trusted proof checker. Among the proof formats accepted at the SAT competition, the Reverse Unit Propagation (RUP) format is considered the most popular. However, the official proof checker was not efficient and failed to check many of the proofs at the competition. This inefficiency is one of the drawbacks of SAT proof checking. In this paper, I introduce a work-in-progress project, vercheck to implement an efficient RUP checker using modern SAT solving techniques. Even though my implementation is larger and more complex, the level of trust is preserved by statically verifying the correctness of the code. The vercheck program is written in GURU, a dependently typed functional programming language with a low-level resource management feature.