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Beginners' Quest to Formalize Mathematics: A Feasibility Study in Isabelle

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arxiv 2106.12351 v1 pith:ZJ4BDLN6 submitted 2021-06-23 cs.LO

Jonas Bayer , Marco David , Abhik Pal , Benedikt Stock This is my paper · ORCID
classification cs.LO
keywords interactivetheorembeginnersformalizeisabellemathematicsproversresearch
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How difficult are interactive theorem provers to use? We respond by reviewing the formalization of Hilbert's tenth problem in Isabelle/HOL carried out by an undergraduate research group at Jacobs University Bremen. We argue that, as demonstrated by our example, proof assistants are feasible for beginners to formalize mathematics. With the aim to make the field more accessible, we also survey hurdles that arise when learning an interactive theorem prover. Broadly, we advocate for an increased adoption of interactive theorem provers in mathematical research and curricula.

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