Mathematical logic

This volume comprises selected contributions by the participants of the second "e;Functor Categories, Model Theory, Algebraic Analysis and Constructive Methods"e; conference, which took place at the University of Almeria, Spain, in July 2022.

The aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s.

Today the notion of the algorithm is familiar not only to mathematicians.

Through three editions, Cryptography: Theory and Practice, has been embraced by instructors and students alike.

This book is a tribute to the memory of Yuri Ivanovich Manin, who passed away on January 7, 2023.

Graham Solomon, to whom this collection is dedicated, went into hospital for antibiotic treatment of pneumonia in Oc- ber, 2001.

It is not always clear what computer programs mean in the various languages in which they can be written, yet a picture can be worth 1000 words, a diagram 1000 instructions.

Foundational questions in logic, mathematics, computer science and physics are constant sources of epistemological debate in contemporary philosophy.

Fuzzy sets were introduced by Zadeh (1965) as a means of representing and manipulating data that was not precise, but rather fuzzy.

This book is concerned with cardinal number valued functions defined for any Boolean algebra.

In this text, a variety of modal logics at the sentential, first-order, and second-order levels are developed with clarity, precision and philosophical insight.

This book brings the researcher up to date with recent applications of mathematical logic to number theory.

An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role.

Since the advent of the Semantic Web, interest in the dynamics of ontologies (ontology evolution) has grown significantly.

This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view.

Methods of dimensionality reduction provide a way to understand and visualize the structure of complex data sets.

This monograph is a defence of the Fregean take on logic.

This book examines how epistemology was reinvented by Ibn Sina, an influential philosopher-scientist of the classical Islamic world who was known to the West by the Latinised name Avicenna.

Petri-Netze sind das meist beachtete und am besten untersuchte Modell für nebenläufige, parallele Rechnungen.

Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.

In recent years, an impetuous development of new, unconventional theories, methods, techniques and technologies in computer and information sciences, systems analysis, decision-making and control, expert systems, data modelling, engineering, etc.

Cryptology: Classical and Modern, Second Edition proficiently introduces readers to the fascinating field of cryptology.

This edited volume focuses on the work of Professor Larisa Maksimova, providing a comprehensive account of her outstanding contributions to different branches of non-classical logic.

This volume contains a collection of research papers centered around the concept of quantifier.

A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process.

The primary purpose of this book is to present information about selected topics on the interactions and applications of fuzzy + neural.

Now the most used texbook for introductory cryptography courses in both mathematics and computer science, the Third Edition builds upon previous editions by offering several new sections, topics, and exercises.

The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship.

Originally published in 1967.

The QL&SC 2012 is a major symposium for scientists, and practitioners all around the world to present their latest researches, results, ideas, developments and applications in such areas as quantitative logic, many-valued logic, fuzzy logic, quantification of software, artificial intelligence, fuzzy sets and systems and soft computing.

In 1931, the young Kurt Godel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove.

One can distinguish, roughly speaking, two different approaches to the philosophy of mathematics.

This book contains all full papers presented at ACRI 2000, the Fourth International Conference on Cellular Automata for Research and Industry, held at the University of Karlsruhe (Germany), 4 - 6 October, 2000.

This unique textbook, in contrast to a standard logic text, provides the reader with a logic that actually can be used in practice to express and reason about mathematical ideas.

This book was written to serve as an introduction to logic, with in each chapter - if applicable - special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science.

This monograph offers a new foundation for information theory that is based on the notion of information-as-distinctions, being directly measured by logical entropy, and on the re-quantification as Shannon entropy, which is the fundamental concept for the theory of coding and communications.

This new book discusses the concepts while also highlighting the challenges in thefield of quantum cryptography and also covering cryptographic techniques and cybersecurity techniques, in a single volume.

The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations is a collection of papers presented at the 1972 Symposium by the same title, held at the University of Maryland, Baltimore County Campus.

Die »Logik« des Philosophen Hermann Lotze (1817–1881) gilt auch nach internationalem Maßstab als einer der folgenreichsten philosophischen Texte im Übergang vom 19.

This book brings together several directions of work in model theory between the late 1950s and early 1980s.

Domain theory is a rich interdisciplinary area at the intersection of logic, computer science, and mathematics.

This book on proof theory centers around the legacy of Kurt Schutte and its current impact on the subject.

This new edition presents the essential topics in probability and statistics from a rigorous standpoint.

The starting point for this monograph is the previously unknown connection between the Continuum Hypothesis and the saturation of the non-stationary ideal on ?