https://github.com/fritzo/nohm

Nondeterministic Optimal Higher-order Machine
https://github.com/fritzo/nohm

Last synced: 24 days ago
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Nondeterministic Optimal Higher-order Machine

• Host: GitHub
• URL: https://github.com/fritzo/nohm
• Owner: fritzo
• License: apache-2.0
• Created: 2022-03-04T18:58:56.000Z (over 2 years ago)
• Default Branch: main
• Last Pushed: 2022-03-12T17:58:50.000Z (over 2 years ago)
• Last Synced: 2024-10-04T18:19:21.050Z (about 1 month ago)
• Language: Python
• Size: 106 KB
• Stars: 8
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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# NOHM: Nondeterministic Optimal Higher-order Machine

This is a research implementation of optimal beta reduction

([Asperti98](#Asperti98)), combining implementation ideas of

[BOHM](https://github.com/asperti/BOHM1.1) ([Asperti96](#Asperti96)) with

engineering tricks of [HVM](https://github.com/Kindelia/HVM)

([Taelin22](#Taelin22)).

The target language is pure untyped nondeterministic λ-calculus

([Barendregt84](#Barendregt84)), that is the language with function abstraction,

function application, bound variables, and nondeterministic parallel binary

choice.

This machine aims to implement types as closures ([Scott76](#Scott76))

(increasing idempotent functions) together with a rich type system of closures

([Obermeyer09](#Obermeyer09)).

It remains to be seen whether this is feasible.

The engineering plan is to create a readable and easily debuggable Python

runtime together with an equivalent but highly-optimized C runtime, similar to

HVM's hybrid Rust+C architecture ([Taelin22](#Taelin22)).

This architecture allows unit tests to be written in Python.

## References



 Asperti96  

    


    Andrea Asperti, Cecilia Giovanetti, Andrea Naletto (1996)

    "The Bologna Optimal Higher-order Machine"

    (doi |

    code)

    

 Asperti98  

    


    Andrea Asperti, Stefano Guerrini (1998)

    "The optimal implementation of functional programming languages"

    (doi)

    

Barendregt84  

    


    Hendrik Barendregt (1984)

    "The lambda calculus: its syntax and semantics"



 Obermeyer09  

    


    Fritz Obermeyer (2009)

    "Automated equational reasoning in nondeterministic λ-calculi modulo theories H*"

    (pdf |

    old code |

    new code)

    

 Salikhmetov17  

    


    Anton Salikhmetov (2017)

    "inet-lib: JavaScript Engine for Interaction Nets"

    (code |

    paper)

    

 Scott76 

    



    Dana Scott (1976)

    "Datatypes as Lattices"

    (doi |

     pdf)

    

 Taelin22  

    


    Victor Taelin et al. (2022)

    "Higher-order Virtual Machine (HVM)"

    (code |

    docs)

    



## License

Copyright (c) 2022 Fritz Obermeyer.


NOHM is licensed under the [Apache 2.0 License](/LICENSE).