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arXiv · 2503.23904

System $F^\omega$ with Coherent Implicit Resolution

Eugène Flesselle
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Abstract

We propose a calculus for modeling implicit programming that supports first-class, overlapping, locally scoped, and higher-order instances with higher-kinded types. We propose a straightforward generalization of the well-established System $F^\omega$ to implicit parameters, with a uniform treatment of type and term abstractions. Unlike previous works, we give a declarative specification of unambiguous, and thus coherent, resolution without introducing restrictions motivated by an algorithmic formulation of resolution.

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Eugène Flesselle. 2025-03-31. System $F^\omega$ with Coherent Implicit Resolution. https://arxiv.org/abs/2503.23904

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