Towards Automated Readable Proofs ofRuler and Compass Constructions

被引：0

作者：

Marinkovic, Vesna ^{[1
]}

Sukilovic, Tijana ^{[1
]}

Maric, Filip ^{[1
]}

机构：

[1] Univ Belgrade, Fac Math, Belgrade, Serbia

来源：

ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE | 2024年 / 398期

关键词：

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Although there are several systems that successfully generate construction steps for ruler and com-pass construction problems, none of them provides readable synthetic correctness proofs for gener-ated constructions. In the present work, we demonstrate how our triangle construction solver Ar-goTriCS can cooperate with automated theorem provers for first order logic and coherent logic sothat it generates construction correctness proofs, that are both human-readable and formal (can bechecked by interactive theorem provers such as Coq or Isabelle/HOL). These proofs currently relyon many high-level lemmas and our goal is to have them all formally shown from the basic axiomsof geometry.

引用

页数：186