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» On Monadic Theories of Monadic Predicates
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JSYML
2008
105views more  JSYML 2008»
14 years 9 months ago
Finite state automata and monadic definability of singular cardinals
We define a class of finite state automata acting on transfinite sequences, and use these automata to prove that no singular cardinal can be defined by a monadic second order formu...
Itay Neeman
119
Voted
FROCOS
2009
Springer
15 years 4 months ago
Combining Theories with Shared Set Operations
Motivated by applications in software verification, we explore automated reasoning about the non-disjoint combination of theories of infinitely many finite structures, where the...
Thomas Wies, Ruzica Piskac, Viktor Kuncak
CAV
1999
Springer
119views Hardware» more  CAV 1999»
15 years 1 months ago
A Theory of Restrictions for Logics and Automata
BDDs and their algorithms implement a decision procedure for Quanti ed Propositional Logic. BDDs are a kind of acyclic automata. Unrestricted automata (recognizing unbounded string...
Nils Klarlund
JCT
2007
107views more  JCT 2007»
14 years 9 months ago
Vertex-minors, monadic second-order logic, and a conjecture by Seese
We prove that one can express the vertex-minor relation on finite undirected graphs by formulas of monadic second-order logic (with no edge set quantification) extended with a p...
Bruno Courcelle, Sang-il Oum
FSTTCS
2009
Springer
15 years 4 months ago
Covering of ordinals
The paper focuses on the structure of fundamental sequences of ordinals smaller than ε0. A first result is the construction of a monadic second-order formula identifying a given ...
Laurent Braud