Lambda Calculus And Homotopy Type Theory: Bridging The Gap Between Computation and Topology

This paper examines a formal connection between Lambda Calculus, the classical syntactic model of computation, and Homotopy Type Theory (HoTT), where types are viewed as spaces and equalities as paths.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-16
DOI
https://doi.org/10.5281/zenodo.21390548
Primary Topic
Logic, programming, and type systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Lambda Calculus And Homotopy Type Theory: Bridging The Gap Between Computation and Topology

Yolam Sakala, Mulindwa Chunda
Zenodo (CERN European Organization for Nuclear Research)
Logic, programming, and type systems
article

Lambda Calculus And Homotopy Type Theory: Bridging The Gap Between Computation and Topology

Yolam Sakala, Mulindwa Chunda
article en

Abstract

This paper examines a formal connection between Lambda Calculus, the classical syntactic model of computation, and Homotopy Type Theory (HoTT), where types are viewed as spaces and equalities as paths.

Zenodo (CERN European Organization for Nuclear Research)
Mulungushi University (ZM)
Reduced inequalities
Openalex Percentile: Top 6%
Logic, programming, and type systems
DOIOpen Access PDFOpenAlex
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