Abstract
We present a set of rules based on full-angles as the basis of automated geometry theorem proving. We extend the idea of eliminating variables and points to the idea of eliminating lines. We also discuss how to combine the forward chaining and backward chaining to achieve higher efficiency. The prover based on the full-angle method has been used to produce short and elegant proofs for more than one hundred difficult geometry theorems. The proofs of many of those theorems produced by our previous area method are relatively long.
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This work was supported in part by the NSF Grants CCR-9117870, CCR-9420857 and the Chinese NSF.
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Chou, SC., Gao, XS. & Zhang, JZ. Automated generation of readable proofs with geometric invariants. J Autom Reasoning 17, 349–370 (1996). https://doi.org/10.1007/BF00283134
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DOI: https://doi.org/10.1007/BF00283134