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Conference Papers Year : 2009

On the Proof Theory of Regular Fixed Points

Abstract

We consider encoding finite automata as least fixed points in a proof theoretical framework equipped with a general induction scheme, and study automata inclusion in that setting. We provide a coinductive characterization of inclusion that yields a natural bridge to proof-theory. This leads us to generalize these observations to regular formulas, obtaining new insights about inductive theorem proving and cyclic proofs in particular.
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Dates and versions

hal-00772502 , version 1 (10-01-2013)

Identifiers

  • HAL Id : hal-00772502 , version 1

Cite

David Baelde. On the Proof Theory of Regular Fixed Points. Automated Reasoning with Analytic Tableaux and Related Methods, 18th International Conference, TABLEAUX 2009, Jul 2009, Oslo, Norway. ⟨hal-00772502⟩
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