SOME FRAGMENTS OF SECOND-ORDER LOGIC OVER THE REALS FOR WHICH SATISFIABILITY AND EQUIVALENCE ARE (UN)DECIDABLE
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Reports on Mathematical Logic, 2014, Number 49, pp. 23 - 34
https://doi.org/10.4467/20842589RM.14.002.2272Authors
We consider the 10-fragment of second-order logic over the vocabulary h+;; 0; 1; <; S1; :::; Ski, interpreted over the reals, where the predicate symbols Si are interpreted as semialgebraic sets. We show that, in this context, satis ability of formulas is decidable for the rst-order 9-quanti er fragment and undecidable for the 98- and 8-fragments. We also show that for these three fragments the same (un)decidability results hold for containment and equivalence of formulas.
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Information: Reports on Mathematical Logic, 2014, Number 49, pp. 23 - 34
Article type: Original article
Titles:
CONICET and Escuela de Ciencia y Tecnologica, Universidad de San Marteen, Campus Miguelete (CP1650). San Martn, Provincia de Buenos Aires, Argentina
Databases and Theoretical Computer Science Group, Hasselt University, Agoralaan, Gebouw D, 3590 Diepenbeek, Belgium
Published at: 21.10.2014
Article status: Open
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