Nullstellensatz size-degree trade-offs from reversible pebbling

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00540454" target="_blank" >RIV/67985840:_____/21:00540454 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00037-020-00201-y" target="_blank" >https://doi.org/10.1007/s00037-020-00201-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00037-020-00201-y" target="_blank" >10.1007/s00037-020-00201-y</a>

Result language
angličtina
Original language name
Nullstellensatz size-degree trade-offs from reversible pebbling
Original language description
We establish an exactly tight relation between reversiblepebblings of graphs and Nullstellensatz refutations of pebbling formulas,showing that a graph G can be reversibly pebbled in time t and space s if and only if there is a Nullstellensatz refutation of the pebbling formulaover G in size t + 1 and degree s (independently of the field in whichthe Nullstellensatz refutation is made). We use this correspondenceto prove a number of strong size-degree trade-offs for Nullstellensatz,which to the best of our knowledge are the first such results for thisproof system.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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