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» On Monadic Theories of Monadic Predicates
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JSYML
2008
105views more  JSYML 2008»
15 years 4 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
186
Voted
FROCOS
2009
Springer
15 years 11 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 9 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»
15 years 4 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
164
Voted
FSTTCS
2009
Springer
15 years 11 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