PCP、CDCL、3-SAT solver
WACCの平均を超えるROICをチェックするSAT（UNSAT)ソルバー。
トポロジー、モジュラー、微分、PCP、ゴレイ符号、conflict driven clause learning、3 SAT、zkp、Arthur Merlin, User Expert, 2IP=PSPACE、MIP＊=RE, pseudorandomnessを組み合わせる。物質宇宙はチューリングマシンと同等のディオファントス方程式だとすると、この手法でNPまたはcoNPであることの判定はできる。
NP completeの場合はfourcolor theorem同様、1482/633パターンのグラフ問題に置き換えることができる。そしてNPである以上ZKPがあるので3 color, 2 colorに置き換えることで説得を省略することができる。
問いをYes No判定できる命題化し、有限の変数、Conjunctive Normal Formに置き換え、satisfiability が充足できるかどうかのチェックをする。Conflict-Driven Clause Learning (CDCL) for high performance.
Top SAT Solver Libraries by Language
Python: PySAT
A comprehensive toolkit that provides a unified interface to several state-of-the-art solvers like Minisat, Glucose, and Lingeling.
Ideal for fast prototyping and solving problems in NP and beyond (e.g., MaxSAT, MUS extraction).
Java: SAT4J
The most widely deployed Java-based SAT library, famously used by the Eclipse platform for dependency resolution.
A mature, modular library that supports SAT, MaxSAT, and Pseudo-Boolean problems.
C++: CaDiCaL
A state-of-the-art, high-performance SAT solver designed for modern software verification and competition.
Other notable C++ options include CryptoMiniSat (advanced incremental solving) and Minisat (a classic foundation for many other solvers).
Rust: RustSAT
A modern library providing unified Rust APIs for various state-of-the-art SAT solvers.
Includes built-in support for generating (Max)SAT instances and handling common encodings like cardinality constraints.
Multiple Languages: Google OR-Tools (CP-SAT)
An open-source suite for combinatorial optimization that includes a powerful CP-SAT solver.
Unlike traditional SAT solvers that work only with Booleans, CP-SAT allows you to define problems using integers, which it then converts to Boolean variables internally.