Information and Computation
Bottom-up tree pushdown automata: classification and connection with rewrite systems
Theoretical Computer Science
Information and Computation - Special issue on EXPRESS 1997
On Infinite Transition Graphs Having a Decidable Monadic Theory
ICALP '96 Proceedings of the 23rd International Colloquium on Automata, Languages and Programming
Proofs and Reachablity Problem for Ground Rewrite Systems
Proceedings of the 6th International Meeting of Young Computer Scientists on Aspects and Prospects of Theoretical Computer Science
FOSSACS '00 Proceedings of the Third International Conference on Foundations of Software Science and Computation Structures: Held as Part of the Joint European Conferences on Theory and Practice of Software,ETAPS 2000
Efficient Algorithms for Model Checking Pushdown Systems
CAV '00 Proceedings of the 12th International Conference on Computer Aided Verification
An Automata-Theoretic Approach to Reasoning about Infinite-State Systems
CAV '00 Proceedings of the 12th International Conference on Computer Aided Verification
On the Model Checking Problem for Branching Time Logics and Basic Parallel Processes
Proceedings of the 7th International Conference on Computer Aided Verification
Pushdown Processes: Games and Model Checking
CAV '96 Proceedings of the 8th International Conference on Computer Aided Verification
LICS '00 Proceedings of the 15th Annual IEEE Symposium on Logic in Computer Science
A Short Introduction to Infinite Automata
DLT '01 Revised Papers from the 5th International Conference on Developments in Language Theory
Recurrent Reachability Analysis in Regular Model Checking
LPAR '08 Proceedings of the 15th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning
Transition graphs of rewriting systems over unranked trees
MFCS'07 Proceedings of the 32nd international conference on Mathematical Foundations of Computer Science
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We consider infinite graphs that are generated by ground tree (or term) rewriting systems. the vertices of these graphs are trees. thus, with a finite tree automaton one can represent a regular set of vertices. It is shown that for a regular set T of vertices the set of vertices from where one can reach (respectively, infinitely often reach) the set T is again regular. Furthermore it is shown that the problems, given a tree t and a regular set T, whether all paths starting in t eventually (respectively, infinitely often) reach T, are undecidable. We then define a logic which is in some sense a maximal fragment of temporal logic with a decidable model-checking problem for the class of ground tree rewriting graphs.