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Content available remote Infinitary Axiomatization of the Equational Theory of Context-Free Languages
EN
We give a natural complete infinitary axiomatization of the equational theory of the context-free languages, answering a question of Leiß (1992).
2
Content available remote Coinductive axiomatization of recursive type equality and subtyping
EN
We present new sound and complete axiomatizations of type equality and subtype inequality for a first-order type language with regular recursive types. The rules are motivated by coinductive characterizations of type containment and type equality via simulation and bisimulation, respectively. The main novelty of the axiomatization is the fixpoint rule (or coinduction principle). It states that from A,Pý P one may deduce Aý P, where P is either a type equality t = t1 or type containment t
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