A decision method for the integrability of differential-algebraic Pfaffian systems
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 s...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2016 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/85269 |
| Online Access: | http://hdl.handle.net/11336/85269 |
| Access Level: | Open access |
| Keyword: | Pfaffian Systems Frobenius Theorem Integrability of PDAE Differential Nullstellensatz https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | 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. |
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