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forest algebras

RAIRO - Theoretical Informatics and Applications (1)

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New applications of the wreath product of forest algebras ∗
Howard Straubing
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 47 / Issue 3 / July 2013

Published online by Cambridge University Press:

30 July 2013, pp. 261-291

Print publication:

July 2013
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We give several new applications of the wreath product of forest algebras to the study oflogics on trees. These include new simplified proofs of necessary conditions fordefinability in CTL and first-order logic with the ancestor relation; asequence of identities satisfied by all forest languages definable inPDL; and new examples of languages outside CTL, alongwith an application to the question of what properties are definable in bothCTL and LTL.