Automated Generation of Illustrations for Synthetic Geometry Proofs
Predrag Jani\v{c}i\'c (Faculty of Mathematics, University of Belgrade,, Serbia), Julien Narboux (UMR 7357 CNRS, University of Strasbourg, France)

TL;DR
This paper presents a modular system that automatically generates clear, animated illustrations for synthetic geometry proofs using the Larus prover and GCLC language, enhancing understanding and visualization.
Contribution
It introduces a novel, flexible approach combining automated proof generation with illustration creation, including animation support, for synthetic geometry.
Findings
Automated proof and illustration generation system developed
Supports animated illustrations for better visualization
Enhances comprehension of synthetic geometry proofs
Abstract
We report on a new, simple, modular, and flexible approach for automated generation of illustrations for (readable) synthetic geometry proofs. The underlying proofs are generated using the Larus automated prover for coherent logic, and corresponding illustrations are generated in the GCLC language. Animated illustrations are also supported.
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Taxonomy
TopicsPolynomial and algebraic computation · Logic, programming, and type systems · Mathematics, Computing, and Information Processing
