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arXiv · 2605.15406

Polymorphic Bottom-Up Weighted Relational Programming

Dmitri Volkov
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Abstract

This work presents a new approach for implementing polymorphism for bottom-up relational languages, without monomorphization. We begin by introducing semiringKanren, a bottom-up weighted relational programming language. We extend this base language to support polymorphism. We describe a new method to compile polymorphic semiringKanren programs into non-polymorphic ones, based on equality patterns and large-enough instances of polymorphic relations. We prove the correctness of this method. Finally, we consider existing work and suggest directions for future research.

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Dmitri Volkov. 2026-05-14. Polymorphic Bottom-Up Weighted Relational Programming. https://arxiv.org/abs/2605.15406

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