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In Proceedings of the 18th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods (2009), pp. 93-107, doi:10.1007/978-3-642-02716-1_8 Key: citeulike:12075177
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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 <em>regular formulas</em> , obtaining new insights about inductive theorem proving and cyclic proofs in particular.
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