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ZENODO
Preprint . 2026
License: http://opensource.org/licenses/MIT
Data sources: ZENODO
ZENODO
Preprint . 2026
License: https://opensource.org/licenses/MIT
Data sources: Datacite
ZENODO
Preprint . 2026
License: https://opensource.org/licenses/MIT
Data sources: Datacite
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HEXA-LANG: A Programming Language with Zero Arbitrary Design Choices — Every Constant Derived from the Perfect Number 6

descriptionPublicationkeyboard_double_arrow_right Preprint 01 Apr 2026Publisher:Zenodo
Authors: Park, Hyunsoo;

doi: 10.5281/zenodo.19365283 , 10.5281/zenodo.19365284

HEXA-LANG: A Programming Language with Zero Arbitrary Design Choices — Every Constant Derived from the Perfect Number 6

Abstract

We present HEXA-LANG, the first programming language where every design constant is mathematically derived from a single number-theoretic equation: sigma(n)*phi(n) = n*tau(n), which holds for n>=2 if and only if n=6. This yields 53 keywords, 24 operators, 8 primitive types (matching Bott periodicity), a 6-phase compiler pipeline, 4 type layers, and an Egyptian fraction memory model (1/2+1/3+1/6=1). Design Space Exploration of 21,952 combinations achieves 100% n=6 alignment. Working compiler in Rust with 58 tests.

Keywords

type system, programming language, perfect number, n=6, compiler, Egyptian fraction, design space exploration

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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