Abstract:In 1986 ([2]), Blass and Gurevich proved that any non-linear Henkin quantifier can be applied to a quantifier-free first-order formula in such a way that the resulting sentence characterizes an NP-complete problem. In 2014 Sevenster ([31]) proved a more general result for regular quantifier prefixes of Independence-Friendly (IF ) logic; he showed that these prefixes can express (in the sense described above) either 1) only FO problems or 2) also NP-complete problems. The latter class is constituted by 2a) pref… Show more
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