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sav08:small_solutions_for_quantifier-free_presburger_arithmetic [2009/04/23 10:39] vkuncak |
sav08:small_solutions_for_quantifier-free_presburger_arithmetic [2009/04/23 10:40] vkuncak |
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| Each QFPA formula can be reduced to a disjunction of linear integer inequations. | Each QFPA formula can be reduced to a disjunction of linear integer inequations. | ||
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| * $m$ is number of constraints | * $m$ is number of constraints | ||
| * $n$ is number of variables | * $n$ is number of variables | ||
| - | We obtain a **polynomial-time** reduction from quantifier-free Presburger arithmetic to SAT. | ||
| ===== Extending Theorem to QFPA ===== | ===== Extending Theorem to QFPA ===== | ||