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sav08:lecture15 [2008/04/15 14:28] vkuncak |
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- | ====== Lecture 15: Quantifier Elimination for Presburger Arithmetic and BAPA ====== | + | ====== Lecture 15: Quantifier Elimination for Presburger Arithmetic and Beyond ====== |
===== Introduction ===== | ===== Introduction ===== | ||
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===== Presburger Arithmetic ===== | ===== Presburger Arithmetic ===== | ||
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- | [[Minimalistic Language of Presburger Arithmetic]] | ||
[[Definition of Presburger Arithmetic]] | [[Definition of Presburger Arithmetic]] | ||
[[QE for Presburger Arithmetic]] | [[QE for Presburger Arithmetic]] | ||
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- | [[Cooper's Method for Presburger Arithmetic]] | ||
===== Boolean Algebra with Presburger Arithmetic ===== | ===== Boolean Algebra with Presburger Arithmetic ===== | ||
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+ | Paper: [[http://lara.epfl.ch/~kuncak/papers/KuncakETAL06DecidingBooleanAlgebraPresburgerArithmetic.pdf|Deciding Boolean Algebra with Presburger Arithmetic]] | ||
===== Remarks ====== | ===== Remarks ====== | ||
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[[List of Theories Admitting QE]] | [[List of Theories Admitting QE]] | ||
- | Definable relations and the use of quantifier-free fragments. | + | [[Applications of Quantifier Elimination]] |
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- | Use of QE for relation composition. | + | |
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- | Bibliography. | + | |