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arXiv · 1009.2893

On Second-Order Monadic Monoidal and Groupoidal Quantifiers

Juha Kontinen·Heribert Vollmer
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Abstract

We study logics defined in terms of second-order monadic monoidal and groupoidal quantifiers. These are generalized quantifiers defined by monoid and groupoid word-problems, equivalently, by regular and context-free languages. We give a computational classification of the expressive power of these logics over strings with varying built-in predicates. In particular, we show that ATIME(n) can be logically characterized in terms of second-order monadic monoidal quantifiers.

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Juha Kontinen, Heribert Vollmer. 2010-09-15. On Second-Order Monadic Monoidal and Groupoidal Quantifiers. https://doi.org/10.2168/lmcs-6(3:25)2010

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