This paper describes how we have added an efficient function for computation to the kernel of the Candle interactive theorem prover. Candle is a CakeML port of HOL Light which we have, in prior work, proved sound w.r.t. the inference rules of the higher-order logic. This paper extends the original implementation and soundness proof with a new kernel function for fast computation. Experiments show that the new computation function is able to speed up certain evaluation proofs by several orders of magnitude.
@InProceedings{abrahamsson_et_al:LIPIcs.ITP.2023.4, author = {Abrahamsson, Oskar and Myreen, Magnus O.}, title = {{Fast, Verified Computation for Candle}}, booktitle = {14th International Conference on Interactive Theorem Proving (ITP 2023)}, pages = {4:1--4:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-284-6}, ISSN = {1868-8969}, year = {2023}, volume = {268}, editor = {Naumowicz, Adam and Thiemann, Ren\'{e}}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2023.4}, URN = {urn:nbn:de:0030-drops-183797}, doi = {10.4230/LIPIcs.ITP.2023.4}, annote = {Keywords: Prover soundness, Higher-order logic, Interactive theorem proving} }
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