Cardinality and counting quantifiers on omega−automatic structures

We investigate structures that can be represented by omega-automata, so called omega-automatic structures, and prove that relations defined over such structures in first-order logic expanded by the first-order quantifiers `there exist at most \\aleph_0 many', 'there exist finitely many...

Full description

Bibliographic Details
Main Authors: Kaiser, L, Rubin, S, Barany, V
Format: Conference item
Published: 2008