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New applications of the wreath product of forest algebras∗

Published online by Cambridge University Press:  30 July 2013

Howard Straubing
Howard Straubing*
Affiliation:
Computer Science Department, Boston College, Chestnut Hill, 02467 Massachusetts, USA.. straubin@cs.bc.edu
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Abstract

We give several new applications of the wreath product of forest algebras to the study of logics on trees. These include new simplified proofs of necessary conditions for definability in CTL and first-order logic with the ancestor relation; a sequence of identities satisfied by all forest languages definable in PDL; and new examples of languages outside CTL, along with an application to the question of what properties are definable in both CTL and LTL.

Keywords

Tree automatatemporal logicsforest algebras
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 47 , Issue 3 , July 2013 , pp. 261 - 291
Copyright
© EDP Sciences 2013

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