HOL

Higher Order Logic (HOL) is a programming environment in which theorems can be proved and proof tools implemented. Built-in decision procedures and theorem provers can automatically establish many simple theorems. An Oracle mechanism gives access to external programs such as SAT and BDD engines. HOL 4 is particularly suitable as a platform for implementing combinations of deduction, execution, and property checking. (Source: http://freecode.com/)


References in zbMATH (referenced in 324 articles , 1 standard article )

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  1. Gauthier, Thibault; Kaliszyk, Cezary: Aligning concepts across proof assistant libraries (2019-2019)
  2. Farmer, William M.: Incorporating quotation and evaluation into Church’s type theory (2018)
  3. Zhao, Chunna; Li, Shanshan: Formalization of fractional order PD control systems in HOL4 (2018)
  4. Benzmüller, Christoph: Cut-elimination for quantified conditional logic (2017)
  5. Berger, Ulrich; Hou, Tie: A realizability interpretation of Church’s simple theory of types (2017)
  6. Blanchette, Jasmin Christian; Bouzy, Aymeric; Lochbihler, Andreas; Popescu, Andrei; Traytel, Dmitriy: Friends with benefits. Implementing corecursion in foundational proof assistants (2017)
  7. Blanchette, Jasmin Christian; Popescu, Andrei; Traytel, Dmitriy: Soundness and completeness proofs by coinductive methods (2017)
  8. Bowles, Juliana; Caminati, Marco B.: A verified algorithm enumerating event structures (2017)
  9. Farmer, William M.: Theory morphisms in Church’s type theory with quotation and evaluation (2017)
  10. Gilbert, Frédéric: Proof certificates in PVS (2017)
  11. Jha, Susmit; Seshia, Sanjit A.: A theory of formal synthesis via inductive learning (2017)
  12. Kunčar, Ondřej; Popescu, Andrei: Comprehending Isabelle/HOL’s consistency (2017)
  13. Sandberg Ericsson, Adam; Myreen, Magnus O.; Åman Pohjola, Johannes: A verified generational garbage collector for CakeML (2017)
  14. Sewell, Thomas; Kam, Felix; Heiser, Gernot: High-assurance timing analysis for a high-assurance real-time operating system (2017)
  15. Zeyda, Frank; Foster, Simon; Freitas, Leo: An axiomatic value model for Isabelle/UTP (2017)
  16. Adams, Mark: HOL zero’s solutions for Pollack-inconsistency (2016)
  17. Ahmed, Waqar; Hasan, Osman; Tahar, Sofiène: Formalization of reliability block diagrams in higher-order logic (2016)
  18. Ahmed, Waqar; Hasan, Osman; Tahar, Sofiène: Formal dependability modeling and analysis: a survey (2016)
  19. Arthan, Rob: On definitions of constants and types in HOL (2016)
  20. Bengtson, Jesper; Parrow, Joachim; Weber, Tjark: Psi-calculi in Isabelle (2016)

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