Archive Formal Proofs

Isabelle’s Archive of Formal Proofs (AFP): Mining the Archive of Formal Proofs. The Archive of Formal Proofs is a vast collection of computer-checked proofs developed using the proof assistant Isabelle. We perform an in-depth analysis of the archive, looking at various properties of the proof developments, including size, dependencies, and proof style. This gives some insights into the nature of formal proofs.


References in zbMATH (referenced in 158 articles , 1 standard article )

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  1. Koutsoukou-Argyraki, Angeliki: Formalising mathematics -- in praxis; a mathematician’s first experiences with Isabelle/HOL and the why and how of getting started (2021)
  2. Mahboubi, Assia; Sibut-Pinote, Thomas: A formal proof of the irrationality of (\zeta(3)) (2021)
  3. Rusu, Vlad; Nowak, David: (Co)inductive proof systems for compositional proofs in reachability logic (2021)
  4. Ballarin, Clemens: Exploring the structure of an algebra text with locales (2020)
  5. Basin, David A.; Lochbihler, Andreas; Sefidgar, S. Reza: CryptHOL: game-based proofs in higher-order logic (2020)
  6. Benzmüller, Christoph; Fuenmayor, David: Computer-supported analysis of positive properties, ultrafilters and modal collapse in variants of Gödel’s ontological argument (2020)
  7. Benzmüller, Christoph; Scott, Dana S.: Automating free logic in HOL, with an experimental application in category theory (2020)
  8. Bisping, Benjamin; Nestmann, Uwe; Peters, Kirstin: Coupled similarity: the first 32 years (2020)
  9. Divasón, Jose; Joosten, Sebastiaan J. C.; Thiemann, René; Yamada, Akihisa: A verified implementation of the Berlekamp-Zassenhaus factorization algorithm (2020)
  10. Eberl, Manuel; Haslbeck, Max W.; Nipkow, Tobias: Verified analysis of random binary tree structures (2020)
  11. Foster, Simon; Cavalcanti, Ana; Canham, Samuel; Woodcock, Jim; Zeyda, Frank: Unifying theories of reactive design contracts (2020)
  12. Gouëzel, Sébastien; Karlsson, Anders: Subadditive and multiplicative ergodic theorems (2020)
  13. Joosten, Sebastiaan J. C.; Thiemann, René; Yamada, Akihisa: A verified implementation of algebraic numbers in Isabelle/HOL (2020)
  14. Kirchner, Daniel; Benzmüller, Christoph; Zalta, Edward N.: Mechanizing Principia Logico-Metaphysica in functional type-theory (2020)
  15. Li, Wenda; Paulson, Lawrence C.: Evaluating winding numbers and counting complex roots through Cauchy indices in Isabelle/HOL (2020)
  16. Mansky, Susannah; Gunter, Elsa L.: Safety of a smart classes-used regression test selection algorithm (2020)
  17. Schlichtkrull, Anders; Blanchette, Jasmin; Traytel, Dmitriy; Waldmann, Uwe: Formalizing Bachmair and Ganzinger’s ordered resolution prover (2020)
  18. Sheng, Feng; Zhu, Huibiao; He, Jifeng; Yang, Zongyuan; Bowen, Jonathan P.: Theoretical and practical approaches to the denotational semantics for MDESL based on UTP (2020)
  19. Sternagel, Christian: A mechanized proof of Higman’s lemma by open induction (2020)
  20. Thiemann, René; Bottesch, Ralph; Divasón, Jose; Haslbeck, Max W.; Joosten, Sebastiaan J. C.; Yamada, Akihisa: Formalizing the LLL basis reduction algorithm and the LLL factorization algorithm in Isabelle/HOL (2020)

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