Many Logics, One Methodology: A Plea for Logical Pluralism in Formalised Reasoning (preprint)

Christoph Benzmüller; Daniel Kirchner; Luca Pasetto

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arXiv · 2605.27246

Many Logics, One Methodology: A Plea for Logical Pluralism in Formalised Reasoning (preprint)

Christoph Benzmüller·Daniel Kirchner·Luca Pasetto

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Abstract

This position statement looks back on two decades of work on shallow embeddings of non-classical logics in classical higher-order logic (HOL), a line of research that expanded into a range of logic embeddings in HOL and inspired the LogiKEy logic-pluralistic knowledge representation and reasoning methodology. This paper advances the case for logical pluralism at object-logic level within a unifying meta-logical framework such as LogiKEy, grounding the argument in computational metaphysics. More broadly, it advocates principled support for logical pluralism in modern proof assistants, and cautions against logical imperialism -- the rigid adoption of a single foundational logic for large-scale theory developments -- which impedes the interdisciplinary reuse that LogiKEy is designed to enable.

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Christoph Benzmüller, Daniel Kirchner, Luca Pasetto. 2026-05-26. Many Logics, One Methodology: A Plea for Logical Pluralism in Formalised Reasoning (preprint). https://arxiv.org/abs/2605.27246

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