{"id":16315637,"url":"https://github.com/andreasabel/ipl","last_synced_at":"2026-01-23T07:05:03.929Z","repository":{"id":63001906,"uuid":"133628170","full_name":"andreasabel/ipl","owner":"andreasabel","description":"Agda formalization of Intuitionistic Propositional 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Normalization by Evaluation for IPL, Call-By-Push-Value, and Polarized Lambda Calculus (without soundness)\n\nThe simple Normalization by Evaluation (NbE) algorithm\nthat produces from every IPL (CBPV, resp.) derivation a normal derivation.\n\nVersion published 2019-02-16 on arXiv:\n\n* Article [Normalization by Evaluation for Call-by-Push-Value and Polarized Lambda-Calculus](https://arxiv.org/abs/1902.06097)\n* Formalization of Section 2, [NbE of IPL using a Cover Monad](https://andreasabel.github.io/ipl/html/NfModelMonad.html)\n* Formalization of (a variant of) Section 3, [NbE for Call-by-Push-Value](https://andreasabel.github.io/ipl/html-cbpv/NfCBPV.html)\n* Partial formalization of Section 4, [Syntax and Semantics of Polarized Lambda-Calculus](https://andreasabel.github.io/ipl/html-focusing/Polarized.html)\n\u003c!--\n* Partial formalization of Section 4, [Syntax and Semantics of Polarized Lambda-Calculus](https://github.com/andreasabel/ipl/blob/master/src-focusing/Formulas.agda)\n--\u003e\n\nVersion presented 2018-07-19 at the\n[Initial Types Club](https://github.com/InitialTypes/Club):\n\n* [PDF Handout](https://andreasabel.github.io/ipl/nbeSum.pdf)\n* [Agda HTML listing](https://andreasabel.github.io/ipl/html/NfModelCaseTree.html)\n\n## Soundness\n\nSoundness of NbE means that the computational behavior (functional\ninterpretation) of IPL proofs is preserved by normalization.\n\nWe implement sound-by-construction NbE using Kripke predicates.\n\n* [Agda HTML listing](https://andreasabel.github.io/ipl/html/NbeModel.html).\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fandreasabel%2Fipl","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fandreasabel%2Fipl","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fandreasabel%2Fipl/lists"}