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» Monads of Regular Theories
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STACS
2009
Springer
15 years 5 months ago
Weak MSO with the Unbounding Quantifier
Abstract. A new class of languages of infinite words is introduced, called the maxregular languages, extending the class of ω-regular languages. The class has two equivalent desc...
Mikolaj Bojanczyk
CSL
2004
Springer
14 years 10 months ago
A Bounding Quantifier
Abstract. A new class of languages of infinite words is introduced, called the maxregular languages, extending the class of -regular languages. The class has two equivalent descrip...
Mikolaj Bojanczyk
CSL
2006
Springer
15 years 2 months ago
Decidable Theories of the Ordering of Natural Numbers with Unary Predicates
Abstract. Expansions of the natural number ordering by unary predicates are studied, using logics which in expressive power are located between first-order and monadic second-order...
Alexander Moshe Rabinovich, Wolfgang Thomas
BIRTHDAY
2008
Springer
15 years 19 days ago
Church's Problem and a Tour through Automata Theory
Abstract. Church's Problem, stated fifty years ago, asks for a finitestate machine that realizes the transformation of an infinite sequence into an infinite sequence such tha...
Wolfgang Thomas
100
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FUIN
2010
83views more  FUIN 2010»
14 years 8 months ago
Expressing Cardinality Quantifiers in Monadic Second-Order Logic over Trees
We study an extension of monadic second-order logic of order with the uncountability quantifier "there exist uncountably many sets". We prove that, over the class of fini...
Vince Bárány, Lukasz Kaiser, Alexand...