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Article Dans Une Revue Annals of Mathematics and Artificial Intelligence Année : 2023

Automated generation of illustrated proofs in geometry and beyond

Résumé

Illustrations are only rarely formal components of mathematical proofs, however they are often very important for understanding proofs. Illustrations are almost unavoidable in geometry, and in many other fields illustrations are helpful for carrying ideas in a more suitable way than via words or formulas. The question is: if we want to automate theorem proving, can we automate creation of corresponding illustrations too? We report on a new, generic, simple, and flexible approach for automated generation of illustrated proofs. The proofs are generated using Larus, an automated prover for coherent logic, and corresponding illustrations are generated in the GCLC language. Animated illustrations are also supported.
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Dates et versions

hal-04230795 , version 1 (06-10-2023)

Identifiants

Citer

Predrag Janičić, Julien Narboux. Automated generation of illustrated proofs in geometry and beyond. Annals of Mathematics and Artificial Intelligence, 2023, https://link.springer.com/article/10.1007/s10472-023-09857-y. ⟨10.1007/s10472-023-09857-y⟩. ⟨hal-04230795⟩
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