# Isabelle/HOL

@inproceedings{Nipkow2002IsabelleHOL, title={Isabelle/HOL}, author={Tobias Nipkow and Lawrence Charles Paulson and Markus Wenzel}, booktitle={Lecture Notes in Computer Science}, year={2002} }

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## 473 Citations

### From LCF to Isabelle/HOL

- Computer ScienceFormal Aspects of Computing
- 2019

This work focuses on Isabelle/HOL and its distinctive strengths, which include automatic proof search, borrowing techniques from the world of first order theorem proving, but also the automatic search for counterexamples.

### Isabelle/HOL as a Meta-Language for Teaching Logic

- Computer ScienceThEdu@IJCAR
- 2020

This claim is supported by discussing three formalizations in Isabelle/HOL used in a recent course on automated reasoning that are a formalization of System W, the Natural Deduction Assistant (NaDeA), and a one-sided sequent calculus that uses the authors' Sequent Calculus Verifier (SeCaV).

### Unifying Theories of Programming in Isabelle

- Computer ScienceICTAC Training School on Software Engineering
- 2013

This is a tutorial introduction to the two most basic theories in Hoare & He's Unifying Theories of Programming and their mechanisation in the Isabelle interactive theorem prover. We describe the…

### A Verified Decision Procedure for Orders in Isabelle/HOL

- Computer ScienceATVA
- 2021

We present the first verified implementation of a decision procedure for the quantifier-free theory of partial and linear orders. We formalise the procedure in Isabelle/HOL and provide a…

### LiFtEr: Language to Encode Induction Heuristics for Isabelle/HOL

- Computer ScienceAPLAS
- 2019

Proof assistants, such as Isabelle/HOL, offer tools to facilitate inductive theorem proving. Isabelle experts know how to use these tools effectively; however they did not have a systematic way to…

### A Formalization and Proof Checker for Isabelle’s Metalogic

- Computer Science, PhilosophyJournal of Automated Reasoning
- 2022

This work formalizes this metalogic and the language of proof terms in Isabelle/HOL, defines an executable (but inefficient) proof term checker and proves the correctness of all the proofs in those theories.

### Admissible Types-to-PERs Relativization in Higher-Order Logic

- Computer ScienceProc. ACM Program. Lang.
- 2023

It is proved that, for a large practical fragment of HOL which includes container types such as datatypes and codatatypes, types-to-PERs relativization is admissible, in that the provability of the original, type-based statement implies the provabilities of its relativized, PER-based counterpart.

### Interactive Proof: Introduction to Isabelle/HOL

- Computer ScienceSoftware Safety and Security
- 2012

This paper introduces interactive theorem proving with the Isabelle/HOL system and introduces the proof language Isar, which is shown how to write structured proofs that are readable by both the machine and the human.

### A Case Study in Computer-Assisted Meta-reasoning

- Computer ScienceDCAI
- 2021

This work discusses human and mechanized reasoning with regards to the use of proof assistants, in particular Isabelle/HOL and indicates that proof assistants are well suited as development tools for assuredly correct programs in languages like Haskell.

### Formalizing a Seligman-Style Tableau System for Hybrid Logic

- Computer Science, PhilosophyArch. Formal Proofs
- 2019

This work formalizes soundness and completeness proofs for a Seligman-style tableau system for hybrid logic in the proof assistant Isabelle/HOL and shows how to lift certain rule restrictions, thereby simplifying the original un-formalized proof.

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