Abstract. This paper discusses the semi-formal language of mathematics and presents the Naproche CNL, a controlled natural language for mathematical authoring. Proof Representation...
Marcos Cramer, Bernhard Fisseni, Peter Koepke, Dan...
Church's Thesis asserts that the only numeric functions that can be calculated by effective means are the recursive ones, which are the same, extensionally, as the Turingle nu...
We propose a natural framework, called NF, which supports development of formal proofs on a computer. NF is based on a theory of Judgments and Derivations. NF is designed by observ...
In this technical report we present the proofs of properties appearing when solving the problem of prime decomposition of natural numbers using a scheme-based systematic exploratio...
Abstract. Natural language interaction between a student and a tutoring or an assistance system for mathematics is a new multi-disciplinary challenge that requires the interaction ...