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» Monadic Bounded Algebras
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ENTCS
2002
108views more  ENTCS 2002»
13 years 9 months ago
Rewriting in the partial algebra of typed terms modulo AC
We study the partial algebra of typed terms with an associative commutative and idempotent operator (typed AC-terms). The originality lies in the representation of the typing poli...
Thomas Colcombet
CORR
2010
Springer
149views Education» more  CORR 2010»
13 years 10 months ago
Lower Bounds for the Complexity of Monadic Second-Order Logic
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
Stephan Kreutzer, Siamak Tazari
FROCOS
2009
Springer
14 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
PODS
2007
ACM
171views Database» more  PODS 2007»
14 years 10 months ago
Monadic datalog over finite structures with bounded treewidth
Bounded treewidth and Monadic Second Order (MSO) logic have proved to be key concepts in establishing fixed-parameter tractability results. Indeed, by Courcelle's Theorem we ...
Georg Gottlob, Reinhard Pichler, Fang Wei
LPAR
2010
Springer
13 years 7 months ago
Counting and Enumeration Problems with Bounded Treewidth
By Courcelle's Theorem we know that any property of finite structures definable in monadic second-order logic (MSO) becomes tractable over structures with bounded treewidth. T...
Reinhard Pichler, Stefan Rümmele, Stefan Wolt...