(Download) "Advanced Łukasiewicz calculus and MV-algebras" by D. Mundici " eBook PDF Kindle ePub Free
eBook details
- Title: Advanced Łukasiewicz calculus and MV-algebras
- Author : D. Mundici
- Release Date : January 22, 2011
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 9806 KB
Description
In recent years, the discovery of the relationships between formulas in Łukasiewicz logic and rational polyhedra, Chang MV-algebras and lattice-ordered abelian roups, MV-algebraic states and coherent de Finetti’s assessments of continuous events, has changed the study and practice of many-valued logic.
This book is intended as an up-to-date monograph on infinite-valued Łukasiewicz logic and MV-algebras. Each chapter features a combination of classical and re¬cent results, well beyond the traditional domain of algebraic logic: among others, a comprehensive account is given of many effective procedures that have been re¬cently developed for the algebraic and geometric objects represented by formulas in Łukasiewicz logic.
The book embodies the viewpoint that modern Łukasiewicz logic and MV-algebras provide a benchmark for the study of several deep mathematical prob¬lems, such as Rényi conditionals of continuously valued events, the many-valued generalization of Carathéodory algebraic probability theory, morphisms and invari¬ant measures of rational polyhedra, bases and Schauder bases as jointly refinable partitions of unity, and first-order logic with [0,1]-valued identity on Hilbert space.
Complete versions are given of a compact body of recent results and techniques, proving virtually everything that is used throughout, so that the book can be used both for individual study and as a source of reference for the more advanced reader.
 "Advanced Łukasiewicz calculus and MV-algebras" by D. Mundici " eBook PDF Kindle ePub Free){kind=link}