A formalization of System I with type Top in Agda

📅 2026-03-24
📈 Citations: 0
Influential: 0
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📝 Abstract
System I is a recently introduced simply-typed lambda calculus with pairs where isomorphic types are considered equal. In this work we propose a variant of System I with the type Top, and present a complete formalization of this calculus in Agda, which includes the proofs of progress and strong normalization.
Problem

Research questions and friction points this paper is trying to address.

System I
type Top
isomorphic types
lambda calculus
formalization
Innovation

Methods, ideas, or system contributions that make the work stand out.

System I
Top type
Agda formalization
strong normalization
type isomorphism
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A
Agustín Séttimo
Dpto. de Ciencias de la Computación, Universidad Nacional de Rosario, Rosario, Argentina.
Cristian Sottile
Cristian Sottile
Universidad de Buenos Aires
type theorylambda calculustermination
C
Cecilia Manzino
Dpto. de Ciencias de la Computación, Universidad Nacional de Rosario, Rosario, Argentina.