Analysis of The Elements by HPSG

Abstract

In this paper, we will analyse The Elements of Euclid by Head-driven phrase structure grammar (HPSG). In ancient Greek senteces, the word orders are rather free and instead phrase structures strongly depend upon the agreement of features; this is the reason why we adopt a unification-based grammar. In addition to ordinary grammar rules, we add several rules which concerns ellipsis and crossed-dependency. We show that the grammar could cover about 79% for 1154 sentences of The Elements.