The automorphism group of falsum-free product logic
Logic
2007-06-22 v2
Abstract
A few things are known, and many are unknown, on the automorphism group of the free MV-algebra over n-1 generators. In this paper we show that this group appears as the stabilizer of 1 in the larger group of all automorphisms of the free cancellative hoop over n generators. Both groups have a dual action on the same space, namely the (n-1)-dimensional cube. The larger group has a richer dynamics, at the expense of loosing the two key features of the McNaughton homeomorphisms: preservation of denominators of rational points, and preservation of the Lebesgue measure. We present here some basic results, some examples, and some problems.
Keywords
Cite
@article{arxiv.math/0610781,
title = {The automorphism group of falsum-free product logic},
author = {Giovanni Panti},
journal= {arXiv preprint arXiv:math/0610781},
year = {2007}
}
Comments
14 pages, 6 figures. Theorem 4.3 improved. To appear in Springer Lecture Notes in Computer Science