On Models of the Planar Lambda Calculus

📅 2026-09-15
📈 Citations: 0
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🤖 AI Summary
本文通过构建半闭运算和平面lambda模型之间的伴随关系,解决了平面lambda演算的建模问题,并获得了一个平面版本的Scott表示定理。
📝 Abstract
We construct an adjunction relating two approaches to modelling the planar lambda calculus: semi-closed operads and planar lambda-models. We use this to obtain a planar version of Scott's representation theorem.
Problem

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

planar lambda calculus
semi-closed operads
planar lambda-models
Scott's representation theorem
Innovation

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

semi-closed operads
planar lambda-models
adjunction
Scott's representation theorem