Comprehending Isabelle/HOL's consistency
Conference paper
Kunčar, O. and Popescu, A. 2017. Comprehending Isabelle/HOL's consistency. Yang, H. (ed.) ESOP 2017: 26th European Symposium on Programming (ESOP). Uppsala, Sweden 22 - 29 Apr 2017 Berlin, Heidelberg Springer. https://doi.org/10.1007/978-3-662-54434-1_27
Type | Conference paper |
---|---|
Title | Comprehending Isabelle/HOL's consistency |
Authors | Kunčar, O. and Popescu, A. |
Abstract | The proof assistant Isabelle/HOL is based on an extension of Higher-Order Logic (HOL) with ad hoc overloading of constants. It turns out that the interaction between the standard HOL type definitions and the Isabelle-specific ad hoc overloading is problematic for the logical consistency. In previous work, we have argued that standard HOL semantics is no longer appropriate for capturing this interaction, and have proved consistency using a nonstandard semantics. The use of an exotic semantics makes that proof hard to digest by the community. In this paper, we prove consistency by proof-theoretic means—following the healthy intuition of definitions as abbreviations, realized in HOLC, a logic that augments HOL with comprehension types. We hope that our new proof settles the Isabelle/HOL consistency problem once and for all. In addition, HOLC offers a framework for justifying the consistency of new deduction schemas that address practical user needs. |
Conference | ESOP 2017: 26th European Symposium on Programming (ESOP) |
Proceedings Title | ESOP 2017: Programming Languages and Systems |
Series | Lecture Notes in Computer Science |
Editors | Yang, H. |
ISSN | 0302-9743 |
Electronic | 1611-3349 |
ISBN | |
Paperback | 9783662544334 |
Electronic | 9783662544341 |
Publisher | Springer |
Place of publication | Berlin, Heidelberg |
Publication dates | |
Online | 10 Apr 2017 |
19 Mar 2017 | |
Publication process dates | |
Deposited | 19 Jun 2017 |
Accepted | 01 Mar 2017 |
Output status | Published |
Accepted author manuscript | |
Copyright Statement | The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-662-54434-1_27 |
Digital Object Identifier (DOI) | https://doi.org/10.1007/978-3-662-54434-1_27 |
Web address (URL) of conference proceedings | https://doi.org/10.1007/978-3-662-54434-1 |
Language | English |
https://repository.mdx.ac.uk/item/870vq
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