Foundational (co)datatypes and (co)recursion for higher-order logic

Julian Biendarra; Jasmin Christian Blanchette; Aymeric Bouzy; Martin Desharnais; Mathias Fleury; Johannes Hölzl; Ondřej Kunčar; Andreas Lochbihler; Fabian Meier; Lorenz Panny; Andrei Popescu; Christian Sternagel; René Thiemann; Dmitriy Traytel

doi:10.1007/978-3-319-66167-4_1

Foundational (co)datatypes and (co)recursion for higher-order logic

Julian Biendarra, Jasmin Christian Blanchette, Aymeric Bouzy, Martin Desharnais, Mathias Fleury, Johannes Hölzl, Ondřej Kunčar, Andreas Lochbihler, Fabian Meier, Lorenz Panny, Andrei Popescu, Christian Sternagel, René Thiemann, Dmitriy Traytel

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

14 Citaten (Scopus)

Samenvatting

We describe a line of work that started in 2011 towards enriching Isabelle/HOL’s language with coinductive datatypes, which allow infinite values, and with a more expressive notion of inductive datatype than previously supported by any system based on higher-order logic. These (co)datatypes are complemented by definitional principles for (co)recursive functions and reasoning principles for (co)induction. In contrast with other systems offering codatatypes, no additional axioms or logic extensions are necessary with our approach.

Originele taal-2	Engels
Titel	Frontiers of Combining Systems - 11th International Symposium, FroCoS 2017, Proceedings
Redacteuren	C. Dixon, M. Finger
Plaats van productie	Dordrecht
Uitgeverij	Springer
Pagina's	3-21
Aantal pagina's	19
ISBN van elektronische versie	978-3-319-66167-4
ISBN van geprinte versie	978-3-319-66166-7
DOI's	https://doi.org/10.1007/978-3-319-66167-4_1
Status	Gepubliceerd - 1 jan. 2017
Evenement	11th International Symposium on Frontiers of Combining Systems (FroCoS 2017) - Brasilia, Brazilië Duur: 27 sep. 2017 → 29 sep. 2017 Congresnummer: 11 http://frocos2017.cic.unb.br

Publicatie series

Naam	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	10483 LNAI
ISSN van geprinte versie	0302-9743
ISSN van elektronische versie	1611-3349

Congres

Congres	11th International Symposium on Frontiers of Combining Systems (FroCoS 2017)
Verkorte titel	FroCoS 2017
Land/Regio	Brazilië
Stad	Brasilia
Periode	27/09/17 → 29/09/17
Internet adres	http://frocos2017.cic.unb.br

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10.1007/978-3-319-66167-4_1

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Biendarra, J., Blanchette, J. C., Bouzy, A., Desharnais, M., Fleury, M., Hölzl, J., Kunčar, O., Lochbihler, A., Meier, F., Panny, L., Popescu, A., Sternagel, C., Thiemann, R., & Traytel, D. (2017). Foundational (co)datatypes and (co)recursion for higher-order logic. In C. Dixon, & M. Finger (editors), Frontiers of Combining Systems - 11th International Symposium, FroCoS 2017, Proceedings (blz. 3-21). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10483 LNAI). Springer. https://doi.org/10.1007/978-3-319-66167-4_1

Biendarra, Julian ; Blanchette, Jasmin Christian ; Bouzy, Aymeric et al. / Foundational (co)datatypes and (co)recursion for higher-order logic. Frontiers of Combining Systems - 11th International Symposium, FroCoS 2017, Proceedings. redacteur / C. Dixon ; M. Finger. Dordrecht : Springer, 2017. blz. 3-21 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "We describe a line of work that started in 2011 towards enriching Isabelle/HOL{\textquoteright}s language with coinductive datatypes, which allow infinite values, and with a more expressive notion of inductive datatype than previously supported by any system based on higher-order logic. These (co)datatypes are complemented by definitional principles for (co)recursive functions and reasoning principles for (co)induction. In contrast with other systems offering codatatypes, no additional axioms or logic extensions are necessary with our approach.",

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Biendarra, J, Blanchette, JC, Bouzy, A, Desharnais, M, Fleury, M, Hölzl, J, Kunčar, O, Lochbihler, A, Meier, F, Panny, L, Popescu, A, Sternagel, C, Thiemann, R & Traytel, D 2017, Foundational (co)datatypes and (co)recursion for higher-order logic. in C Dixon & M Finger (uitgave), Frontiers of Combining Systems - 11th International Symposium, FroCoS 2017, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10483 LNAI, Springer, Dordrecht, blz. 3-21, 11th International Symposium on Frontiers of Combining Systems (FroCoS 2017), Brasilia, Brazilië, 27/09/17. https://doi.org/10.1007/978-3-319-66167-4_1

Foundational (co)datatypes and (co)recursion for higher-order logic. / Biendarra, Julian; Blanchette, Jasmin Christian; Bouzy, Aymeric et al.
Frontiers of Combining Systems - 11th International Symposium, FroCoS 2017, Proceedings. uitgave / C. Dixon; M. Finger. Dordrecht: Springer, 2017. blz. 3-21 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10483 LNAI).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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AU - Bouzy, Aymeric

AU - Desharnais, Martin

AU - Fleury, Mathias

AU - Hölzl, Johannes

AU - Kunčar, Ondřej

AU - Lochbihler, Andreas

AU - Meier, Fabian

AU - Panny, Lorenz

AU - Popescu, Andrei

AU - Sternagel, Christian

AU - Thiemann, René

AU - Traytel, Dmitriy

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Biendarra J, Blanchette JC, Bouzy A, Desharnais M, Fleury M, Hölzl J et al. Foundational (co)datatypes and (co)recursion for higher-order logic. In Dixon C, Finger M, redacteurs, Frontiers of Combining Systems - 11th International Symposium, FroCoS 2017, Proceedings. Dordrecht: Springer. 2017. blz. 3-21. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-66167-4_1

Foundational (co)datatypes and (co)recursion for higher-order logic

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