Towards Practical Reflection for Formal Mathematics

by Martin Giese , Bruno Buchberger

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Datum	Value	Source
TITLE	Towards Practical Reflection for Formal Mathematics	SVM HeaderParse 0.2
AUTHOR NAME	Martin Giese	SVM HeaderParse 0.2
AUTHOR AFFIL	1 RICAM, Austrian Academy of Sciences,	SVM HeaderParse 0.2
AUTHOR ADDR	Altenbergerstr. 69, A-4040 Linz, Austria	SVM HeaderParse 0.2
AUTHOR NAME	Bruno Buchberger	SVM HeaderParse 0.2
AUTHOR AFFIL	1 RICAM, Austrian Academy of Sciences,	SVM HeaderParse 0.2
AUTHOR ADDR	Altenbergerstr. 69, A-4040 Linz, Austria	SVM HeaderParse 0.2
ABSTRACT	Abstract. We describe a design for a system for mathematical theory exploration that can be extended by implementing new reasoners using the logical input language of the system. Such new reasoners can be applied like the built-in reasoners, and it is possible to reason about them, e.g. proving their soundness, within the system. This is achieved in a practical and attractive way by adding reflection, i.e. a representation mechanism for terms and formulae, to the system’s logical language, and some knowledge about these entities to the system’s basic reasoners. The approach has been evaluated using a prototypical implementation called Mini-Tma. It will be incorporated into the Theorema system. 1	SVM HeaderParse 0.2
CITATIONS	19 found	ParsCit 1.0