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CSL
2004
Springer
13 years 10 months ago
The Boundary Between Decidability and Undecidability for Transitive-Closure Logics
To reason effectively about programs, it is important to have some version of a transitive-closure operator so that we can describe such notions as the set of nodes reachable from ...
Neil Immerman, Alexander Moshe Rabinovich, Thomas ...
ICDT
2003
ACM
121views Database» more  ICDT 2003»
13 years 10 months ago
Deciding Termination of Query Evaluation in Transitive-Closure Logics for Constraint Databases
We study extensions of first-order logic over the reals with different types of transitive-closure operators as query languages for constraint databases that can be described by...
Floris Geerts, Bart Kuijpers
DLOG
2010
13 years 2 months ago
Decidability of Description Logics with Transitive Closure of Roles in Concept and Role Inclusion Axioms
Abstract. This paper investigates Description Logics which allow transitive closure of roles to occur not only in concept inclusion axioms but also in role inclusion axioms. First,...
Chan Le Duc, Myriam Lamolle
IJCAI
2003
13 years 6 months ago
On the Undecidability of Description and Dynamic Logics with Recursion and Counting
The evolution of Description Logics (DLs) and Propositional Dynamic Logics produced a hierar­ chy of decidable logics with multiple maximal el­ ements. It would be desirable to ...
Piero A. Bonatti
CORR
2007
Springer
147views Education» more  CORR 2007»
13 years 4 months ago
Model Checking Synchronized Products of Infinite Transition Systems
Formal verification using the model checking paradigm has to deal with two aspects: The system models are structured, often as products of components, and the specification logic...
Stefan Wöhrle, Wolfgang Thomas