Text-to-Diagram Conversion: A Method for Formal Representation of Natural Language Geometry Problems

Anirban Mukherjee, Sarbartha Sengupta, Dipanjan Chakraborty, Anirban Sen, and Utpal Garain

Keywords

Text to Diagram conversion, Natural language problems, Formal description, Parsing algorithm, Parse graph

Abstract

Natural language geometry problems are translated into formal representation. This is done as an essential step involved in text to diagram conversion. A parser is designed that analyzes a problem statement in order to describe it as a language independent, unambiguous formal representation. Natural language processing tools and a lexical knowledge base are used to assist the parser that finally generates a graph as the parsing output. The parse graph is the formal representation of the input natural language problem. This graph is later translated into another intermediate representation consisting of a set of graphics-friendly statements. High school level geometry problems are used to develop and test the proposed methods. Experimental results show high accuracy of the approach in translating a natural language problem into a formal description.

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