Focused and Synthetic Nested Sequents (Extended Technical Report)

Kaustuv Chaudhuri 1 Sonia Marin 1 Lutz Straßburger 1
1 PARSIFAL - Proof search and reasoning with logic specifications
LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau], Inria Saclay - Ile de France
Abstract : Focusing is a general technique for transforming a sequent proof system into one with a syntactic separation of non-deterministic choices without sacrificing completeness. This not only improves proof search, but also has the representational benefit of distilling sequent proofs into synthetic normal forms. We show how to apply the focusing technique to nested sequent calculi, a generalization of ordinary sequent calculi to tree-like instead of list-like structures. We thus improve the reach of focusing to the most commonly studied modal logics, the logics of the modal S5 cube. Among our key contributions is a focused cut-elimination theorem for focused nested sequents. This is an extended version of a paper with the same title and authors that will appear in the
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[Research Report] Inria. 2016
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Contributeur : Kaustuv Chaudhuri <>
Soumis le : mercredi 6 janvier 2016 - 16:14:14
Dernière modification le : mercredi 14 novembre 2018 - 16:14:01
Document(s) archivé(s) le : jeudi 7 avril 2016 - 16:08:25


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  • HAL Id : hal-01251722, version 1


Kaustuv Chaudhuri, Sonia Marin, Lutz Straßburger. Focused and Synthetic Nested Sequents (Extended Technical Report). [Research Report] Inria. 2016. 〈hal-01251722v1〉



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