Kontinen, Juha and Vollmer, Heribert - On Second-Order Monadic Monoidal and Groupoidal Quantifiers

lmcs:1006 - Logical Methods in Computer Science, September 20, 2010, Volume 6, Issue 3
On Second-Order Monadic Monoidal and Groupoidal Quantifiers

Authors: Kontinen, Juha and Vollmer, Heribert

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.


Source : oai:arXiv.org:1009.2893
DOI : 10.2168/LMCS-6(3:25)2010
Volume: Volume 6, Issue 3
Published on: September 20, 2010
Submitted on: September 21, 2009
Keywords: Computer Science - Logic in Computer Science,F.4.1, F.4.3


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