Fixpoint Alternation: Arithmetic, Transition Systems, and the Binary Tree

Forfattere

  • Julian C. Bradfield

DOI:

https://doi.org/10.7146/brics.v5i53.19499

Resumé

We provide an elementary proof of the fixpoint alternation
hierarchy in arithmetic, which in turn allows us to simplify the proof of the modal mu-calculus alternation hierarchy. We further show that the alternation hierarchy on the binary tree is strict, resolving a problem of Niwinski.

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Publiceret

1998-12-23

Citation/Eksport

Bradfield, J. C. (1998). Fixpoint Alternation: Arithmetic, Transition Systems, and the Binary Tree. BRICS Report Series, 5(53). https://doi.org/10.7146/brics.v5i53.19499

Nummer

Nr. 53 (1998): RS-53 Fixpoint Alternation: Arithmetic, Transition Systems, and the Binary Tree

Sektion

Artikler

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