| HAL : hal-00714710, version 2 |
| arXiv : 1207.1255 |
| Fiche détaillée | Récupérer au format |
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| Versions disponibles : | v1 (05-07-2012) | v2 (27-10-2012) |
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| Adjunctions for exceptions |
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| Jean-Guillaume Dumas 1Dominique Duval 1 |
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| (26/10/2012) |
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| An algebraic method is used to study the semantics of exceptions in computer languages. The exceptions form a computational effect, in the sense that there is an apparent mismatch between the syntax of exceptions and their intended semantics. We solve this apparent contradiction by efining a logic for exceptions with a proof system which is close to their syntax and where their intended semantics can be seen as a model. This requires a robust framework for logics and their morphisms, which is provided by categorical tools relying on adjunctions, fractions and limit sketches. |
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| 1 : | Laboratoire Jean Kuntzmann (LJK) |
| CNRS : UMR5224 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Institut Polytechnique de Grenoble - Grenoble Institute of Technology | |
| 2 : | Reynaud Consulting (RC) |
| Reynaud Consulting | |
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| Domaine | : | Informatique/Logique en informatique Mathématiques/Catégories et ensembles |
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| Computational effects – Semantics of exceptions – Adjunction – Categorical fractions – Limit sketches – Diagrammatic logics – Morphisms of logics. Decorated proof system. |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00714710, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00714710 | |
| oai:hal.archives-ouvertes.fr:hal-00714710 | |
| Contributeur : Dominique Duval | |
| Soumis le : Vendredi 26 Octobre 2012, 17:06:46 | |
| Dernière modification le : Samedi 27 Octobre 2012, 07:57:08 | |