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title
description
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dReal
author
updated
2026-02-17 00:12:22
raw text
dReal dReal dReal dReach Benchmarks Download People dReal is an automated reasoning tool. It focuses on solving problems that can be encoded as first-order logic formulas over the real numbers. Its special strength is in handling problems that involve a wide range of nonlinear real functions. dReal implements the framework of \(\delta\)-complete decision procedures (see [ GAC’12 ]). dReal returns “unsat” or “\(\delta\)-sat” on input formulas, where \(\delta\) is a numerical error bound specified by the user. When the answer is “unsat”, dReal guarantees that the formula is unsatisfiable. When the answer is “\(\delta\)-sat”, it returns a set of solutions that all satisfy a \(\delta\)-perturbed form of the input formula. We have benefited greatly from various tools, including ibex , picosat , and capd . Example Let’s consider the following example which slighly modifies a formula from the Flyspeck project benchmarks: \[ \exists^{[3.0,3.14]}x_1. \exists^{...
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