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NanoByte SAT Solver

Build NuGet API documentation
NanoByte SAT Solver is a DPLL Boolean Satisfiability Solver for .NET.


Add a reference to the NanoByte.SatSolver NuGet package to your project.

You need to choose the underlying type to use for Literals in Boolean Formulas. This will often be int or string but you can also use any other type that implements the IEquatable<T> interface. You can then create an instance of Solver<T>:

var solver = new Solver<string>();

The library enables you to express Boolean Formulas using implicit casting and operators for human-friendly sample and test code:

Literal<string> a = "a", b = "b", c = "c", d = "d";
var formula = (a | b) & (!a | c) & (!c | d) & a;

For constructing Formulas at run-time you can use a collection-like interface instead:

var formula = new Formula<string>
    new Clause<string> {Literal.Of("a"), Literal.Of("b")},
    new Clause<string> {Literal.Of("a").Negate(), Literal.Of("c")},
    new Clause<string> {Literal.Of("c").Negate(), Literal.Of("d")},
    new Clause<string> {Literal.Of("a")}

Finally, you can use the solver to determine whether a Formula is satisfiable:

bool result = solver.IsSatisfiable(formula);

When the Solver needs to choose a Literal to assign a truth value to during backtracking, it simply picks the first unset Literal from the list. You can replace this with your own domain-specific logic for better performance by deriving from Solver<T> and overriding the ChooseLiteral() method.


The source code is in src/, config for building the API documentation is in doc/ and generated build artifacts are placed in artifacts/. The source code does not contain version numbers. Instead the version is determined during CI using GitVersion.

To build run .\build.ps1 or ./ (.NET SDK is automatically downloaded if missing using 0install).


We welcome contributions to this project such as bug reports, recommendations and pull requests.

This repository contains an EditorConfig file. Please make sure to use an editor that supports it to ensure consistent code style, file encoding, etc.. For full tooling support for all style and naming conventions consider using JetBrains' ReSharper or Rider products.