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Self-Formalisation of Higher-Order Logic

Published:2016-02-15 Issue:3 Volume:56 Page:221-259
ISSN:0168-7433
Container-title:Journal of Automated Reasoning
language:en
Short-container-title:J Autom Reasoning

Author:

Kumar Ramana,Arthan Rob,Myreen Magnus O.,Owens Scott

Funder

Engineering and Physical Sciences Research Council (GB)

Royal Society (GB)

Vetenskapsrådet

Gates Cambridge Trust

Publisher

Springer Science and Business Media LLC

Subject

Artificial Intelligence,Computational Theory and Mathematics,Software

Link

http://link.springer.com/content/pdf/10.1007/s10817-015-9357-x.pdf

Reference34 articles.

1. Aït Mohamed, O., Muñoz, C. A., Tahar, S. (eds.): Theorem Proving in Higher Order Logics, 21st International Conference, TPHOLs 2008, Montreal, Canada, August 18–21, 2008. Proceedings, volume 5170 of Lecture Notes in Computer Science. Springer, Berlin (2008)

2. Anand, A., Rahli, V.: Towards a formally verified proof assistant. In: Klein and Gamboa [15], pp. 27–44

3. Andrews P.B.: An Introduction to Mathematical Logic and Type Theory, Vol. 27. Springer, NY (2002)

4. Arthan, R.: HOL Formalised: Semantics. http://www.lemma-one.com/ProofPower/specs/spc002.pdf

5. Arthan, R.: HOL constant definition done right. In: Klein and Gamboa [15], pp. 531–536

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2. A Formalization and Proof Checker for Isabelle’s Metalogic;Journal of Automated Reasoning;2022-12-12

3. Undecidability, incompleteness, and completeness of second-order logic in Coq;Proceedings of the 11th ACM SIGPLAN International Conference on Certified Programs and Proofs;2022-01-11

4. On the Conciliation of Traditional and Computer-Assisted Proofs;Philosophical Studies Series;2022

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