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CNL
2009
13 years 6 months ago
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...
Marcos Cramer, Bernhard Fisseni, Peter Koepke, Dan...
BSL
2008
98views more  BSL 2008»
13 years 5 months ago
A Natural Axiomatization of Computability and Proof of Church's Thesis
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...
Nachum Dershowitz, Yuri Gurevich
JIIS
2008
104views more  JIIS 2008»
13 years 5 months ago
A framework for checking proofs naturally
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...
Masahiko Sato
SYNASC
2007
IEEE
105views Algorithms» more  SYNASC 2007»
13 years 11 months ago
Decompositions of Natural Numbers: From a Case Study in Mathematical Theory Exploration
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...
Adrian Craciun, Madalina Hodorog
COGSYS
2005
Springer
13 years 7 months ago
Natural Language Dialog with a Tutor System for Mathematical Proofs
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 ...
Christoph Benzmüller, Helmut Horacek, Ivana K...