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Quantifier rank for parity of embedded finite models

✍ Scribed by Hervé Fournier

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
198 KB
Volume
295
Category
Article
ISSN
0304-3975

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✦ Synopsis

We are interested in the quantiÿer rank necessary to express the parity of an embedded set of cardinal smaller than a given bound. We consider several embedding structures such as the reals with addition and order, or the ÿeld of complex numbers. We provide both lower and upper bounds. We obtain from these results some bounds on the quantiÿer rank needed to express the connectivity of an embedded graph, when a bound on its number of vertices is given.

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