Verifying and Reflecting Quantifier Elimination for Presburger Arithmetic

Verifying and Reflecting Quantifier Elimination for Presburger Arithmetic
复制标题

验证和反思Presburger算术的量词消除

DOI:
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发表时间:
2005
期刊:
Logic Programming and Automated Reasoning
影响因子:
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通讯作者:
T. Nipkow
T. Nipkow
中科院分区:
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文献类型:
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作者:
Amine Chaieb;T. Nipkow

文献摘要

被引文献

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给出了Presburger算法中库珀量词消去的高阶逻辑实现和验证。反射,即ML中的直接执行,比LCF风格的实现速度提高了200倍,并且表现得与ML中手工编码的决策过程一样好。
We present an implementation and verification in higher-order logic of Cooper’s quantifier elimination for Presburger arithmetic. Reflection, i.e. the direct execution in ML, yields a speed-up of a factor of 200 over an LCF-style implementation and performs as well as a decision procedure hand-coded in ML.