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arXiv · 1805.04852

Hypersequents and Systems of Rules: Embeddings and Applications

Agata Ciabattoni·Francesco A. Genco
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Abstract

We define a bi-directional embedding between hypersequent calculi and a subclass of systems of rules (2-systems). In addition to showing that the two proof frameworks have the same expressive power, the embedding allows for the recovery of the benefits of locality for 2-systems, analyticity results for a large class of such systems, and a rewriting of hypersequent rules as natural deduction rules.

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Agata Ciabattoni, Francesco A. Genco. 2018-05-13. Hypersequents and Systems of Rules: Embeddings and Applications. https://doi.org/10.1145/3180075

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