Picture of smart phone in human hand

World leading smartphone and mobile technology research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by Strathclyde researchers from the Department of Computer & Information Sciences involved in researching exciting new applications for mobile and smartphone technology. But the transformative application of mobile technologies is also the focus of research within disciplines as diverse as Electronic & Electrical Engineering, Marketing, Human Resource Management and Biomedical Enginering, among others.

Explore Strathclyde's Open Access research on smartphone technology now...

Minimization via duality

Bezhanishvili, N. and Kupke, C. and Panangaden, P. (2012) Minimization via duality. In: Logic, Language, Information and Computation. Lecture notes in computer science / Theoretical Computer Science and General Issues, 7456 LNCS . Springer, pp. 191-205. ISBN 9783642326202

[img] PDF
BezhanishviliKupkePanagadenDuality2012.pdf - Accepted Author Manuscript

Download (138kB)

Abstract

We show how to use duality theory to construct minimized versions of a wide class of automata. We work out three cases in detail: (a variant of) ordinary automata, weighted automata and probabilistic automata. The basic idea is that instead of constructing a maximal quotient we go to the dual and look for a minimal subalgebra and then return to the original category. Duality ensures that the minimal subobject becomes the maximally quotiented object.