International Colloquium on Automata, Languages and Programming on Automata, languages and programming
Tree automata, Mu-Calculus and determinacy
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The Borel hierarchy is infinite in the class of regular sets of trees
Theoretical Computer Science
Languages, automata, and logic
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The modal mu-calculus alternation hierarchy is strict
Theoretical Computer Science
A Hierarchy Theorem for the µ-Calculus
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Simplifying the Modal Mu-Calculus Alternation Hierarchy
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A gap property of deterministic tree languages
Theoretical Computer Science - Logic and complexity in computer science
Automata logics, and infinite games: a guide to current research
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The wadge hierarchy of deterministic tree languages
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part II
On Recognizable Tree Languages Beyond the Borel Hierarchy
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CSL'09/EACSL'09 Proceedings of the 23rd CSL international conference and 18th EACSL Annual conference on Computer science logic
On topological completeness of regular tree languages
Logic and Program Semantics
On Recognizable Tree Languages Beyond the Borel Hierarchy
Fundamenta Informaticae
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We show that a family of tree languages W_{(l,k)}, previouslyused by J. Bradfield, and by the first author to show thestrictness of the Rabin¨CMostowski index hierarchy ofalternating tree automata, forms a hierarchy w.r.t. theWadgereducibility. That is, W_{(l,k) ⩽_W W_{(l',k')} if and onlyif the index (l', k') is above (l, k). This is one of the fewseparation results known so far, concerning the topologicalcomplexity of non-deterministically recognizable tree languages,and one of the few results about finite-state recognizablenon-Borel sets of trees.