Coq

Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs. Typical applications include the formalization of programming languages semantics (e.g. the CompCert compiler certification project or Java Card EAL7 certification in industrial context), the formalization of mathematics (e.g. the full formalization of the 4 color theorem or constructive mathematics at Nijmegen) and teaching.


References in zbMATH (referenced in 1392 articles , 3 standard articles )

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  1. Boutry, Pierre; Braun, Gabriel; Narboux, Julien: Formalization of the arithmetization of Euclidean plane geometry and applications (2019)
  2. Drămnesc, Isabela; Jebelean, Tudor; Stratulat, Sorin: Mechanical synthesis of sorting algorithms for binary trees by logic and combinatorial techniques (2019)
  3. Gauthier, Thibault; Kaliszyk, Cezary: Aligning concepts across proof assistant libraries (2019)
  4. Ahrens, Benedikt; Lumsdaine, Peter Lefanu; Voevodsky, Vladimir: Categorical structures for type theory in univalent foundations (2018)
  5. Ahrens, Benedikt; Matthes, Ralph: Heterogeneous substitution systems revisited (2018)
  6. Anand, Abhishek; Boulier, Simon; Cohen, Cyril; Sozeau, Matthieu; Tabareau, Nicolas: Towards certified meta-programming with typed Template-Coq (2018)
  7. Angiuli, Carlo; Harper, Robert: Meaning explanations at higher dimension (2018)
  8. Ayala-Rincón, Mauricio; de Carvalho-Segundo, Washington; Fernández, Maribel; Nantes-Sobrinho, Daniele: Nominal C-unification (2018)
  9. Benzaken, V.; Contejean, É.; Keller, Ch.; Martins, E.: A Coq formalisation of SQL’s execution engines (2018)
  10. Bertot, Yves; Rideau, Laurence; Théry, Laurent: Distant decimals of $\pi $: formal proofs of some algorithms computing them and guarantees of exact computation (2018)
  11. Biernacki, Dariusz; Polesiuk, Piotr: Logical relations for coherence of effect subtyping (2018)
  12. Cao, Qinxiang; Beringer, Lennart; Gruetter, Samuel; Dodds, Josiah; Appel, Andrew W.: VST-Floyd: a separation logic tool to verify correctness of C programs (2018)
  13. Castegren, Elias; Wallin, Joel; Wrigstad, Tobias: Bestow and atomic: concurrent programming using isolation, delegation and grouping (2018)
  14. Chen, Hao; Wu, Xiongnan; Shao, Zhong; Lockerman, Joshua; Gu, Ronghui: Toward compositional verification of interruptible OS kernels and device drivers (2018)
  15. Clochard, Martin; Gondelman, Léon; Pereira, Mário: The matrix reproved (verification pearl) (2018)
  16. Czajka, Łukasz; Ekici, Burak; Kaliszyk, Cezary: Concrete semantics with Coq and CoqHammer (2018)
  17. Czajka, Łukasz; Kaliszyk, Cezary: Hammer for Coq: automation for dependent type theory (2018)
  18. Dagand, Pierre-Évariste; Tabareau, Nicolas; Tanter, Éric: Foundations of dependent interoperability (2018)
  19. de Putter, Sander; Wijs, Anton: A formal verification technique for behavioural model-to-model transformations (2018)
  20. Doczkal, Christian; Combette, Guillaume; Pous, Damien: A formal proof of the minor-exclusion property for treewidth-two graphs (2018)

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