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» Mathematical Proofs at a Crossroad
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MKM
2009
Springer
13 years 9 months ago
Formal Proof: Reconciling Correctness and Understanding
Hilbert’s concept of formal proof is an ideal of rigour for mathematics which has important applications in mathematical logic, but seems irrelevant for the practice of mathemati...
Cristian S. Calude, Christine Müller
CJ
2006
78views more  CJ 2006»
13 years 5 months ago
A Very Mathematical Dilemma
Mathematics is facing a dilemma at its heart: the nature of mathematical proof. We have known since Church and Turing independently showed that mathematical provability was undeci...
Alan Bundy
LPAR
2001
Springer
13 years 9 months ago
A Computer Environment for Writing Ordinary Mathematical Proofs
The EPGY Theorem-Proving Environment is designed to help students write ordinary mathematical proofs. The system, used in a selection of computer-based proof-intensive mathematics ...
David McMath, Marianna Rozenfeld, Richard Sommer
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...
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...