Local quantifier elimination:

Abstract: "We introduce local quantifier elimination as a new variant of real quantifier elimination. Given a first-order formula and a real point we compute a quantifier-free formula which is not only for the given point equivalent to the input formula but also for all points in a semi-algebra...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Dolzmann, Andreas (VerfasserIn), Weispfenning, Volker 1944- (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Passau 2000
Schriftenreihe:Universität <Passau> / Fakultät für Mathematik und Informatik: MIP 2000,03
Schlagworte:
Zusammenfassung:Abstract: "We introduce local quantifier elimination as a new variant of real quantifier elimination. Given a first-order formula and a real point we compute a quantifier-free formula which is not only for the given point equivalent to the input formula but also for all points in a semi-algebraic set containing the specified point. The description of this semi-algebraic set is explicitly computed in the form of a conjunction of atomic formulas. Local quantifier elimination is in its application area, superior to both regular and generic quantifier elimination due to faster running times and shorter results."
Beschreibung:21, 3 S. graph. Darst.

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