The Naproche Project Controlled Natural Language Proof Checking of Mathematical Texts

Abstract. This paper discusses the semi-formal language of mathematics and presents the Naproche CNL, a controlled natural language for mathematical authoring. Proof Representation Structures, an adaptation of Discourse Representation Structures, are used to represent the semantics of texts written in the Naproche CNL. We discuss how the Naproche CNL can be used in formal mathematics, and present our prototypical Naproche system, a computer program for parsing texts in the Naproche CNL and checking the proofs in them for logical correctness.

• Type: Conference
• Year: 2009
• Where: CNL
• Authors: Marcos Cramer, Bernhard Fisseni, Peter Koepke, Daniel Kühlwein, Bernhard Schröder, Jip Veldman
• Keywords: CNL 2009, Discourse Representation Structures, Naproche CNL, Natural Language Processing, Representation Structures