Abstract : Subexponential logic is a variant of linear logic with a family of exponential connectives---called subexponentials---that are indexed and arranged in a pre-order. Each subexponential has or lacks associated structural properties of weakening and contraction. We show that classical propositional multiplicative linear logic extended with one unrestricted and two incomparable linear subexponentials can encode the halting problem for two register Minsky machines, and is hence undecidable.
Type de document :
Communication dans un congrès
Sandra Alves and Iliano Cervesato. Proceedings of the Third International Workshop on Linearity, Jul 2014, Vienna, Austria. 176, pp.1--8, 2014, Electronic Proceedings in Theoretical Computer Science. 〈10.4204/EPTCS.176.1〉
https://hal.inria.fr/hal-00998753
Contributeur : Kaustuv Chaudhuri
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Soumis le : lundi 2 juin 2014 - 16:22:03
Dernière modification le : mercredi 14 novembre 2018 - 16:14:01
Document(s) archivé(s) le : mardi 2 septembre 2014 - 12:45:17
Kaustuv Chaudhuri. Undecidability of Multiplicative Subexponential Logic. Sandra Alves and Iliano Cervesato. Proceedings of the Third International Workshop on Linearity, Jul 2014, Vienna, Austria. 176, pp.1--8, 2014, Electronic Proceedings in Theoretical Computer Science. 〈10.4204/EPTCS.176.1〉. 〈hal-00998753〉
