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About this paper
Milan Banković
An approach automates classical triangle ruler-and-compass constructions by framing them as constraint satisfaction problems solvable by general-purpose finite-domain constraint solvers. This method successfully solves 63 out of 74 benchmark problems, often finding shorter constructions (average 6.3 steps) compared to dedicated solvers (average 7.5 steps), with comparable or better median solving times.
Key insights
- General-purpose finite-domain constraint solvers are effective for complex symbolic domains like geometric construction, challenging the notion that only dedicated tools are efficient.
- The approach significantly reduces implementation effort by allowing researchers to focus on modeling geometric knowledge rather than developing intricate search algorithms.
- Built-in optimization features of constraint solvers enable the automatic discovery of minimal-length constructions, a feature difficult to implement in dedicated tools.
Summary by alphaXiv.
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