HOL Light

HOL Light: an overview. HOL Light is an interactive proof assistant for classical higher-order logic, intended as a clean and simplified version of Mike Gordon’s original HOL system. Theorem provers in this family use a version of ML as both the implementation and interaction language; in HOL Light’s case this is Objective CAML (OCaml). Thanks to its adherence to the so-called `LCF approach’, the system can be extended with new inference rules without compromising soundness. While retaining this reliability and programmability from earlier HOL systems, HOL Light is distinguished by its clean and simple design and extremely small logical kernel. Despite this, it provides powerful proof tools and has been applied to some non-trivial tasks in the formalization of mathematics and industrial formal verification.


References in zbMATH (referenced in 243 articles )

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  1. Magron, Victor; Safey El Din, Mohab; Schweighofer, Markus: Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials (2019-2019)
  2. Gauthier, Thibault; Kaliszyk, Cezary: Aligning concepts across proof assistant libraries (2019)
  3. Kunčar, Ondřej; Popescu, Andrei: From types to sets by local type definition in higher-order logic (2019)
  4. Marić, Filip: Fast formal proof of the Erdős-Szekeres conjecture for convex polygons with at most 6 points (2019)
  5. Rashid, Adnan; Hasan, Osman: Formal analysis of continuous-time systems using Fourier transform (2019)
  6. Alex A. Alemi, Francois Chollet, Niklas Een, Geoffrey Irving, Christian Szegedy, Josef Urban: DeepMath - Deep Sequence Models for Premise Selection (2018) arXiv
  7. Betzendahl, Jonas; Kohlhase, Michael: Translating the IMPS theory library to MMT/OMDoc (2018)
  8. Carette, Jacques; Farmer, William M.; Sharoda, Yasmine: Biform theories: project description (2018)
  9. Coghetto, Roland: Klein-Beltrami model. I (2018)
  10. Coghetto, Roland: Klein-Beltrami model. II (2018)
  11. Czajka, Łukasz; Kaliszyk, Cezary: Hammer for Coq: automation for dependent type theory (2018)
  12. Farmer, William M.: Incorporating quotation and evaluation into Church’s type theory (2018)
  13. Lopez Hernandez, Julio Cesar; Korovin, Konstantin: An abstraction-refinement framework for reasoning with large theories (2018)
  14. Maggesi, Marco: A formalization of metric spaces in HOL light (2018)
  15. Müller, Dennis; Rabe, Florian; Kohlhase, Michael: Theories as types (2018)
  16. Paulson, Lawrence C.: Computational logic: its origins and applications (2018)
  17. Zeljić, Aleksandar; Backeman, Peter; Wintersteiger, Christoph M.; Rümmer, Philipp: Exploring approximations for floating-point arithmetic using uppsat (2018)
  18. Allamigeon, Xavier; Katz, Ricardo D.: A formalization of convex polyhedra based on the simplex method (2017)
  19. Blanchette, Jasmin Christian; Bouzy, Aymeric; Lochbihler, Andreas; Popescu, Andrei; Traytel, Dmitriy: Friends with benefits. Implementing corecursion in foundational proof assistants (2017)
  20. Carter, Nathan C.; Monks, Kenneth G.: A web-based toolkit for mathematical word processing applications with semantics (2017)

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