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Titlebook: Rewriting and Typed Lambda Calculi; Joint International Gilles Dowek Conference proceedings 2014 Springer International Publishing Switzer

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Cut Admissibility by Saturation, saturation techniques. This work relies on a view of proposition rewriting rules as oriented clauses, like term rewriting rules can be seen as oriented equations. This also leads us to introduce an extension of deduction modulo with . term rewriting rules.
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Tree Automata with Height Constraints between Brothers, restrict the applicability of the rules are allowed in ... These constraints allow to express natural tree languages like complete or balanced (like AVL) trees. We prove decidability of emptiness and finiteness for .., and also for a more general class that additionally allows to combine equality and disequality constraints between brothers.
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