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Preprint Number 825

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825. Lisi D'Alfonso, Gabriela Jeronimo, Pablo Solernó
A decision method for the integrability of differential-algebraic Pfaffian systems

Submission date: 20 January 2015.


We prove an effective integrability criterion for differential-algebraic Pfaffian systems leading to a decision method of consistency with a triple exponential complexity bound. As a byproduct, we obtain an upper bound for the order of differentiations in the differential Nullstellensatz for these systems.

Mathematics Subject Classification: 12H05, 35A01

Keywords and phrases:

Full text arXiv 1501.04941: pdf, ps.

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