2009 | OriginalPaper | Chapter
Transformations via Geometric Perspective Techniques Augmented with Cycles Normalization
Authors : Gleifer V. Alves, Anjolina G. de Oliveira, Ruy de Queiroz
Published in: Logic, Language, Information and Computation
Publisher: Springer Berlin Heidelberg
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
A normalization procedure is presented for a classical natural deduction (
ND
) proof system. This proof system, called
N-Graphs
, has a multiple conclusion proof structure where cycles are allowed. With this, we have developed a thorough treatment of cycles, including cycles normalization via an algorithm. We also demonstrate the usefulness of the graphical framework of
N-Graphs
, where derivations are seen as digraphs. We use geometric perspective techniques to establish the normalization mechanism, thus giving a direct normalization proof.