3 Search Results for "Palmskog, Karl"

Document
DOI: 10.4230/LIPIcs.ITP.2025.12
Automatically Generalizing Proofs and Statements

Authors: Anshula Gandhi, Anand Rao Tadipatri, and Timothy Gowers

Published in: LIPIcs, Volume 352, 16th International Conference on Interactive Theorem Proving (ITP 2025)

Abstract
We present an algorithm, developed in the Lean programming language, to automatically generalize mathematical proofs. The algorithm, which builds on work by Olivier Pons, advances state-of-the-art proof generalization by robustly generalizing repeated and related constants, as well as abstracting out hypotheses implicitly concerning them. We also discuss the role of proof generalization in conjecturing, learning from failure, and other aspects of mathematical proof discovery.
Cite as

Anshula Gandhi, Anand Rao Tadipatri, and Timothy Gowers. Automatically Generalizing Proofs and Statements. In 16th International Conference on Interactive Theorem Proving (ITP 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 352, pp. 12:1-12:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

Copy BibTex To Clipboard

@InProceedings{gandhi_et_al:LIPIcs.ITP.2025.12,
  author =	{Gandhi, Anshula and Tadipatri, Anand Rao and Gowers, Timothy},
  title =	{{Automatically Generalizing Proofs and Statements}},
  booktitle =	{16th International Conference on Interactive Theorem Proving (ITP 2025)},
  pages =	{12:1--12:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-396-6},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{352},
  editor =	{Forster, Yannick and Keller, Chantal},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2025.12},
  URN =		{urn:nbn:de:0030-drops-246104},
  doi =		{10.4230/LIPIcs.ITP.2025.12},
  annote =	{Keywords: automated reasoning, automated theorem proving, interactive theorem proving, formalization of mathematics, generalization, Lean theorem prover, Lean tactic}
}
Document
DOI: 10.4230/LIPIcs.ECOOP.2025.12
Automatic Goal Clone Detection in Rocq

Authors: Ali Ghanbari

Published in: LIPIcs, Volume 333, 39th European Conference on Object-Oriented Programming (ECOOP 2025)

Abstract
Proof engineering in Rocq is a labor-intensive process, and as proof developments grow in size, redundancy and maintainability become challenges. One such redundancy is goal cloning, i.e., proving α-equivalent goals multiple times, leading to wasted effort and bloated proof scripts. In this paper, we introduce clone-finder, a novel technique for detecting goal clones in Rocq proofs. By leveraging the formal notion of α-equivalence for Gallina terms, clone-finder systematically identifies duplicated proof goals across large Rocq codebases. We evaluate clone-finder on 40 real-world Rocq projects from the CoqGym dataset. Our results reveal that each project contains an average of 27.73 instances of goal clone. We observed that the clones can be categorized as either exact goal duplication, generalization, or α-equivalent goals with different proofs, each signifying varying levels duplicate effort. Our findings highlight significant untapped potential for proof reuse in Rocq-based formal verification projects, paving the way for future improvements in automated proof engineering.
Cite as

Ali Ghanbari. Automatic Goal Clone Detection in Rocq. In 39th European Conference on Object-Oriented Programming (ECOOP 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 333, pp. 12:1-12:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

Copy BibTex To Clipboard

@InProceedings{ghanbari:LIPIcs.ECOOP.2025.12,
  author =	{Ghanbari, Ali},
  title =	{{Automatic Goal Clone Detection in Rocq}},
  booktitle =	{39th European Conference on Object-Oriented Programming (ECOOP 2025)},
  pages =	{12:1--12:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-373-7},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{333},
  editor =	{Aldrich, Jonathan and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ECOOP.2025.12},
  URN =		{urn:nbn:de:0030-drops-233055},
  doi =		{10.4230/LIPIcs.ECOOP.2025.12},
  annote =	{Keywords: Clone Detection, Goal, Proof, Rocq, Gallina}
}
Document
DOI: 10.4230/LIPIcs.ITP.2023.12
Lessons for Interactive Theorem Proving Researchers from a Survey of Coq Users

Authors: Ana de Almeida Borges, Annalí Casanueva Artís, Jean-Rémy Falleri, Emilio Jesús Gallego Arias, Érik Martin-Dorel, Karl Palmskog, Alexander Serebrenik, and Théo Zimmermann

Published in: LIPIcs, Volume 268, 14th International Conference on Interactive Theorem Proving (ITP 2023)

Abstract
The Coq Community Survey 2022 was an online public survey of users of the Coq proof assistant conducted during February 2022. Broadly, the survey asked about use of Coq features, user interfaces, libraries, plugins, and tools, views on renaming Coq and Coq improvements, and also demographic data such as education and experience with Coq and other proof assistants and programming languages. The survey received 466 submitted responses, making it the largest survey of users of an interactive theorem prover (ITP) so far. We present the design of the survey, a summary of key results, and analysis of answers relevant to ITP technology development and usage. In particular, we analyze user characteristics associated with adoption of tools and libraries and make comparisons to adjacent software communities. Notably, we find that experience has significant impact on Coq user behavior, including on usage of tools, libraries, and integrated development environments.
Cite as

Ana de Almeida Borges, Annalí Casanueva Artís, Jean-Rémy Falleri, Emilio Jesús Gallego Arias, Érik Martin-Dorel, Karl Palmskog, Alexander Serebrenik, and Théo Zimmermann. Lessons for Interactive Theorem Proving Researchers from a Survey of Coq Users. In 14th International Conference on Interactive Theorem Proving (ITP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 268, pp. 12:1-12:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

Copy BibTex To Clipboard

@InProceedings{dealmeidaborges_et_al:LIPIcs.ITP.2023.12,
  author =	{de Almeida Borges, Ana and Casanueva Art{\'\i}s, Annal{\'\i} and Falleri, Jean-R\'{e}my and Gallego Arias, Emilio Jes\'{u}s and Martin-Dorel, \'{E}rik and Palmskog, Karl and Serebrenik, Alexander and Zimmermann, Th\'{e}o},
  title =	{{Lessons for Interactive Theorem Proving Researchers from a Survey of Coq Users}},
  booktitle =	{14th International Conference on Interactive Theorem Proving (ITP 2023)},
  pages =	{12:1--12:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-284-6},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{268},
  editor =	{Naumowicz, Adam and Thiemann, Ren\'{e}},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2023.12},
  URN =		{urn:nbn:de:0030-drops-183875},
  doi =		{10.4230/LIPIcs.ITP.2023.12},
  annote =	{Keywords: Coq, Community, Survey, Statistical Analysis}
}
  • Refine by Type
  • 3 Document/PDF
  • 2 Document/HTML

  • Refine by Publication Year
  • 2 2025
  • 1 2023

  • Refine by Author
  • 1 Casanueva Artís, Annalí
  • 1 Falleri, Jean-Rémy
  • 1 Gallego Arias, Emilio Jesús
  • 1 Gandhi, Anshula
  • 1 Ghanbari, Ali
  • Show More...

  • Refine by Series/Journal
  • 3 LIPIcs

  • Refine by Classification
  • 1 General and reference → Empirical studies
  • 1 Software and its engineering → Formal methods
  • 1 Software and its engineering → Formal software verification
  • 1 Software and its engineering → Software maintenance tools
  • 1 Theory of computation → Automated reasoning
  • Show More...

  • Refine by Keyword
  • 1 Clone Detection
  • 1 Community
  • 1 Coq
  • 1 Gallina
  • 1 Goal
  • Show More...

Any Issues?
X

Feedback on the Current Page

CAPTCHA

Thanks for your feedback!

Feedback submitted to Dagstuhl Publishing

Could not send message

Please try again later or send an E-mail
© 2023-2026 Schloss Dagstuhl – LZI GmbH Schloss Dagstuhl – LZI GmbH About DROPS Imprint Privacy Contact