InforLorV4, Main, Exploration, bibRecord, 000361

Foundational Extensible Corecursion: A Proof Assistant Perspective

Identifieur interne : 000361 ( Main/Exploration ); précédent : 000360; suivant : 000362

Foundational Extensible Corecursion: A Proof Assistant Perspective

Auteurs : Jasmin Christian Blanchette [France] ; Andrei Popescu [Royaume-Uni] ; Dmitriy Traytel [Allemagne]

Source :

RBID : Hal:hal-01212589

English descriptors

mix :
- (Co)recursion, Isabelle, higher-order logic, parametricity, proof assistants.

Abstract

This paper presents a formalized framework for defining corecursive functions safely in a total setting, based on corecursion up-to and relational parametricity. The end product is a general corecursor that allows corecursive (and even recursive) calls under "friendly" operations, including constructors. Friendly corecursive functions can be registered as such, thereby increasing the corecursor's expressiveness. The metatheory is formalized in the Isabelle proof assistant and forms the core of a prototype tool. The corecursor is derived from first principles, without requiring new axioms or extensions of the logic.

Url:

https://hal.inria.fr/hal-01212589

DOI: 10.1145/2784731.2784732

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 002421
to stream Hal, to step Curation: 002421
to stream Hal, to step Checkpoint: 000337
to stream Main, to step Merge: 000361
to stream Main, to step Curation: 000361

Le document en format XML

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Foundational Extensible Corecursion: A Proof Assistant Perspective

Foundational Extensible Corecursion: A Proof Assistant Perspective

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri