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  2. Z3 Theorem Prover - Wikipedia

    en.wikipedia.org/wiki/Z3_Theorem_Prover

    Z3 was open sourced in the beginning of 2015. [3] The source code is licensed under MIT License and hosted on GitHub. [4] The solver can be built using Visual Studio, a makefile or using CMake and runs on Windows, FreeBSD, Linux, and macOS. The default input format for Z3 is SMTLIB2.

  3. Satisfiability modulo theories - Wikipedia

    en.wikipedia.org/wiki/Satisfiability_modulo_theories

    The Viper verification infrastructure encodes verification conditions to Z3. The sbv library provides SMT-based verification of Haskell programs, and lets the user choose among a number of solvers such as Z3, ABC, Boolector, cvc5, MathSAT and Yices. There are also many verifiers built on top of the Alt-Ergo SMT solver. Here is a list of mature ...

  4. Cooperating Validity Checker - Wikipedia

    en.wikipedia.org/wiki/Cooperating_Validity_Checker

    cvc5.github.io In computer science and mathematical logic , Cooperating Validity Checker (CVC) is a family of satisfiability modulo theories (SMT) solvers. The latest major versions of CVC are CVC4 and CVC5 (stylized cvc5); earlier versions include CVC, CVC Lite, and CVC3. [ 2 ]

  5. SAT solver - Wikipedia

    en.wikipedia.org/wiki/SAT_solver

    In computer science and formal methods, a SAT solver is a computer program which aims to solve the Boolean satisfiability problem (SAT). On input a formula over Boolean variables, such as "(x or y) and (x or not y)", a SAT solver outputs whether the formula is satisfiable, meaning that there are possible values of x and y which make the formula true, or unsatisfiable, meaning that there are no ...

  6. DPLL(T) - Wikipedia

    en.wikipedia.org/wiki/DPLL(T)

    [1] [2] [3] At a high level, the algorithm works by transforming an SMT problem into a SAT formula where atoms are replaced with Boolean variables. The algorithm repeatedly finds a satisfying valuation for the SAT problem, consults a theory solver to check consistency under the domain-specific theory, and then (if a contradiction is found ...

  7. Alt-Ergo - Wikipedia

    en.wikipedia.org/wiki/Alt-Ergo

    Alt-Ergo, an automatic solver for mathematical formulas, is mainly used in formal program verification. It operates on the principle of satisfiability modulo theories (SMT). Development was undertaken by researchers at the Paris-Sud University , Laboratoire de Recherche en Informatique, Inria Saclay Ile-de-France, and CNRS .

  8. Automated theorem proving - Wikipedia

    en.wikipedia.org/wiki/Automated_theorem_proving

    Generally, automated theorem provers focus on supporting full first-order logic with quantifiers, whereas SMT solvers focus more on supporting various theories (interpreted predicate symbols). ATPs excel at problems with lots of quantifiers, whereas SMT solvers do well on large problems without quantifiers. [23]

  9. Boolean satisfiability problem - Wikipedia

    en.wikipedia.org/wiki/Boolean_satisfiability_problem

    An extension that has gained significant popularity since 2003 is satisfiability modulo theories (SMT) that can enrich CNF formulas with linear constraints, arrays, all-different constraints, uninterpreted functions, [19] etc. Such extensions typically remain NP-complete, but very efficient solvers are now available that can handle many such ...