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Many Logics, One Methodology : A Plea for Logical Pluralism in Formalised Reasoning (preprint)
Benzmüller, Christoph; Kirchner, Daniel; Pasetto, Luca (2026): Many Logics, One Methodology : A Plea for Logical Pluralism in Formalised Reasoning (preprint), in: arXiv, doi: 10.48550/arxiv.2605.27246.
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Year of publication:
2026
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Language:
English
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.
Keywords: ; ; ; ;
Logical Pluralism
Meta-Logical Reasoning
Proof Assistants
Higher-Order Logic
Classical and Non-Classical Logics
Type:
Preprint
Activation date:
May 29, 2026
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https://fis.uni-bamberg.de/handle/uniba/115304