Truly modular (Co)datatypes for Isabelle/HOL

Jasmin Christian Blanchette, Johannes Hölzl, Andreas Lochbihler, Lorenz Panny, Andrei Popescu, Dmitriy Traytel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

71 Scopus citations

Abstract

We extended Isabelle/HOL with a pair of definitional commands for datatypes and codatatypes. They support mutual and nested (co)recursion through well-behaved type constructors, including mixed recursion-corecursion, and are complemented by syntaxes for introducing primitively (co)recursive functions and by a general proof method for reasoning coinductively. As a case study, we ported Isabelle's Coinductive library to use the new commands, eliminating the need for tedious ad hoc constructions.

Original languageEnglish
Title of host publicationInteractive Theorem Proving - 5th International Conference, ITP 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, Proceedings
PublisherSpringer Verlag
Pages93-110
Number of pages18
ISBN (Print)9783319089690
DOIs
StatePublished - 2014
Event5th International Conference on Interactive Theorem Proving, ITP 2014 - Held as Part of the Vienna Summer of Logic, VSL 2014 - Vienna, Austria
Duration: 14 Jul 201417 Jul 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8558 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th International Conference on Interactive Theorem Proving, ITP 2014 - Held as Part of the Vienna Summer of Logic, VSL 2014
Country/TerritoryAustria
CityVienna
Period14/07/1417/07/14

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