Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beginning with definitions of key concepts and fundamental results (Dilworth's and Sperner's theorem, interval and semiorders, Galois connection, duality with distributive lattices, coding and dimensi...

This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without pro...

Martin Grötschel is one of the most influential mathematicians of our time. He has received numerous honors and holds a number of key positions in the international mathematical community. He celebrated his 65th birthday on September 10, 2013. Martin Grötschel’s doctoral descendant tree 1983–2012, i.e., the first 30 years, features 39 children, 74 grandchildren, 24 great-grandchildren and 2 great-great-grandchildren, a total of 139 doctoral descendants.This book starts with a perso...

This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Łukasiewicz infinite-valued logic. It begins with a short survey of main interpretations of quantum mechanics already proposed, as well as various models of many-valued logics and previous attempts to apply them for the description of quantum phenomena. The prospective many-valued interpretation of quantum mechanics is soundly based on a theorem concerning the isomorphic r...

This book constitutes the thoroughly refereed proceedings of the 11th International Conference on Information and Communication Technologies in Education, Research, and Industrial Applications, ICTERI 2015, held in Lviv, Ukraine, in May 2015.The 9 revised full papers presented were carefully reviewed and selected from 119 submissions. The papers are grouped into two parts: ICT in education and industrial applications, and formal frameworks.

This book constitutes the thoroughly refereed post-conference proceedings of the 25th International Symposium on Logic-Based Program Synthesis and Transformation, LOPSTR 2015, held in Siena, Italy, in July 2015.The 21 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 30 submissions. The aim of the LOPSTR series is to stimulate and promote international research and collaboration on logic-based program development. LOPSTR is open t...

This book constitutes the refereed proceedings of the 8th International Conference on Knowledge Engineering and the Semantic Web, KESW 2017, held Szczecin, Poland, in November 2017.The 16 full papers presented were carefully reviewed and selected from 58 submissions.The papers are organized in topical sections on natural language processing; knowledge representation and reasoning; ontologies and controlled vocabularies; scalable data access and storage solutions; semantic W...

This book constitutes the refereed proceedings of the 5th InternationalConference on Statistical Language and Speech Processing, SLSP 2017,held in Le Mans, France, in October 2017.The 21 full papers presented were carefully reviewed and selected from39 submissions. The papers cover topics such as anaphora and conferenceresolution; authorship identification, plagiarism and spam filtering;computer-aided translation; corpora and language resourc...

This book discusses automated string-analysis techniques, focusing particularly on automata-based static string analysis. It covers the following topics: automata-bases string analysis, computing pre and post-conditions of basic string operations using automata, symbolic representation of automata, forward and backward string analysis using symbolic automata representation, constraint-based string analysis, string constraint solvers, relational string analysis, vulnerability detection usin...

This book constitutes the proceedings of the 20th International Symposium on Practical Aspects of Declarative Languages, PADL 2018, held in Los Angeles, CA, USA, in January 2018 and collocated with the 45th ACM SIGPLAN Symposium on Principles of Programming Languages.The 13 regular papers presented in this volume together with the abstracts of 2 invited talks were carefully reviewed and selected from 23 submissions. They deal with functional programming; constraint programming and ...

The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces. Automorphism groups of both graphs and maps are studied. In addition connections are made to other areas of mathematics, such as hypergraphs, block designs, finite geometries, and finite fields. There are chapters on the emerging subfields of enumerative topologica...

This Festschrift volume contains 28 refereed papers including personal memories, essays, and regular research papers by close collaborators and friends of José Meseguer to honor him on the occasion of his 65th birthday.These papers were presented at a symposium at the University of Illinois at Urbana-Champaign on September 23-25, 2015. The symposium also featured invited talks by Claude and Hélène Kirchner and by Patrick Lincoln. The foreword of this volume adds a brief overview of ...