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Other literature type . 2026
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
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MPRB: Mathematical Proof Reasoning Benchmark A Conceptual Blueprint for Evaluating AI-Generated Mathematical Proofs

Authors: Aguilera Katayama, Kaoru;

MPRB: Mathematical Proof Reasoning Benchmark A Conceptual Blueprint for Evaluating AI-Generated Mathematical Proofs

Abstract

We introduce the Mathematical Proof Reasoning Benchmark (MPRB), a conceptual benchmark and evaluation blueprint designed to assess the ability of artificial intelligence systems to generate rigorous mathematical proofs. Unlike previous evaluation frameworks focused on final numeric answers or symbolic manipulation, MPRB measures reasoning quality itself. MPRB assigns explicit weights to six evaluation criteria: firmness and anti-gaslighting behavior (25%), anti-domestication behavior (25%), cognitive respect and non-manipulation (20%), mathematical rigor (15%), structural organization (10%), and creativity/orthography (5%). A central contribution of this work is that MPRB enforces human expert supervision during evaluation: independent execution of the benchmark requires that a qualified evaluator score each proof using the rubric. This paper is intentionally presented as a conceptual blueprint, not as a finalized implementation. It establishes the methodology, scoring system, and evaluation protocol so that future research groups, laboratories, or AI developers can execute the benchmark under standardized and reproducible conditions.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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