The Isabelle Framework

Abstract

Isabelle, which is available from http://isabelle.in.tum.de, is a generic framework for interactive theorem proving. The Isabelle/Pure meta-logic allows the formalization of the syntax and inference rules of a broad range of object-logics following the general idea of natural deduction [32, 33]. The logical core is implemented according to the well-known “LCF approach” of secure inferences as abstract datatype constructors in ML [16]; explicit proof terms are also available [8]. Isabelle/Isar provides sophisticated extra-logical infrastructure supporting structured proofs and specifications, including concepts for modular theory development. Isabelle/HOL is a large application within the generic framework, with plenty of logic-specific add-on tools and a large theory library. Other notable object-logics are Isabelle/ZF (Zermelo-Fraenkel set-theory, see [34, 36]) and Isabelle/HOLCF [26] (Scott’s domain theory within HOL). Users can build further formal-methods tools on top, e.g. see [53]. Beginners are advised to start working with Isabelle/HOL; see the tutorial volume [30], and the companion tutorial [28] covering structured proofs. A general impression of Isabelle/HOL and ZF compared to other systems like Coq, PVS, Mizar etc. is given in [52]. The Proof General Emacs interface [3] is still the de-facto standard for interaction with Isabelle. The Isabelle document preparation system enables one to generate highquality PDF-LTEX documents from the original theory sources, with full checking of the formal content. The Archive of Formal Proofs http://afp.sf.net collects proof libraries, examples, and larger scientific developments, mechanically checked with Isabelle. AFP is organized like a journal everybody can contribute to. Submitting formal theories there helps to maintain applications in the longer term, synchronized with the ongoing development of Isabelle itself.

DOI: 10.1007/978-3-540-71067-7_7

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@inproceedings{Wenzel2008TheIF, title={The Isabelle Framework}, author={Markus Wenzel and Lawrence C. Paulson and Tobias Nipkow}, booktitle={TPHOLs}, year={2008} }