Mathematical logic

This monograph details several different methods for constructing simple relation algebras, many of which are new with this book.

Now in its third decade, the Colorado Mathematical Olympiad (CMO), founded by the author, has become an annual state-wide competition, hosting many hundreds of middle and high school contestants each year.

Electronic communication and financial transactions have assumed massive proportions today.

"e;In the mathematics I can report no deficience, except that it be that men do not sufficiently understand the excellent use of the pure mathematics, in that they do remedy and cure many defects in the wit and faculties intellectual.

Computability and Logic is a classic because of its accessibility to students without a mathematical background.

The second edition of an accessible yet technically sound treatment of modal logic and its philosophical applications.

All current methods of secure communication such as public-key cryptography can eventually be broken by faster computing.

Industrial development is essential to improvement of the standard of living in all countries.

A unique approach to mathematical logic where students implement the underlying concepts and proofs in the Python programming language.

A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces how logic is used to prepare and structure proofs and solve more complex problems.

The two-volume set LNAI 15497 and LNAI 15498 constitutes the refereed proceedings of the 14th International Conference on Brain Inspired Cognitive Systems, BICS 2024, held in Hefei, China, during December 6-8, 2024.

The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science introduces readers to the Bayesian approach to science: teasing out the link between probability and knowledge.

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.

This book constitutes refereed proceedings of the 2nd International Semantic Intelligence Conference (ISIC 2022).

smarTEST Prep: Guide to LSAT Logic Games presents a standardized and methodical approach to conquering the Logic Games section of the LSAT.

Reissuing works originally published between 1931 and 1990, this set of twenty-four books covers the full range of the philosophy of logic, from introductions to logic, to calculus and mathematical logic, to logic in language and linguistics and logical reasoning in law and ethics.

The convergence of emerging technologies is reshaping industries at an unprecedented pace, and healthcare is no exception.

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.

Electronic communication and financial transactions have assumed massive proportions today.

This book describes the need of copyright protection for multimedia objects and develops an invisible image watermarking scheme to serve the purpose of copyright protection.

I am very happy to have this opportunity to introduce Luca Vigano's book on Labelled Non-Classical Logics.

Neural Networks and Fuzzy Systems: Theory and Applications discusses theories that have proven useful in applying neural networks and fuzzy systems to real world problems.

Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "e;undecidable.

An inviting collection of fun, hands-on applications in mathematics and computingThis book provides a fun, hands-on approach to learning how mathematics and computing relate to the world around us and help us to better understand it.

This comprehensive two-volume work is devoted to the most general beginnings of mathematics.

Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some.

This handbook of formal analysis in cryptography is very important for secure communication and processing of information.

This book is devoted to some results from the classical Point Set Theory and their applications to certain problems in mathematical analysis of the real line.

This book seeks to generalize techniques and experiences in designing and analyzing cryptographic schemes for blockchain.

This unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics.

This book provides the reader with a comprehensive account of the contributions of Pythagoras to mathematics and philosophy, using them as a starting point to compare pre-Pythagorean accomplishments with the myriad mathematical developments that followed.

This book constructs an inner model with a Woodin cardinal and develops its fine structure theory using the theory of iteration trees.

In order to perform effective analysis of today's information security systems, numerous components must be taken into consideration.

This book is about "e;delta"e;, a paradox logic.

Using mathematical tools from number theory and finite fields, Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Second Edition presents practical methods for solving problems in data security and data integrity.

Logic is a field studied mainly by researchers and students of philosophy, mathematics and computing.

The Set Theory and Applications meeting at York University, Ontario, featured both contributed talks and a series of invited lectures on topics central to set theory and to general topology.

Cyber-physical systems (CPSs) combine cyber capabilities, such as computation or communication, with physical capabilities, such as motion or other physical processes.

This fourth volume of the book series combines propositional logic and R-calculus for a new point of view to consider belief revision.

Fuzzy geometric programming was originated by the author in the Proceed- ing of the second IFSA conferences, 1987(Tokyo) 14 years ago.

This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability.

This book reports the recent results obtained by Italian researchers in fuzzy logic.

Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has been scarcely applied and studied in the social sciences.

With increasing demands for high precision autonomous control over wide operating envelopes, conventional control engineering approaches are unable to adequately deal with system complexity, nonlinearities, spatial and temporal parameter variations, and with uncertainty.

This book centers around a dialogue between Roger Penrose and Emanuele Severino about one of most intriguing topics of our times, the comparison of artificial intelligence and natural intelligence, as well as its extension to the notions of human and machine consciousness.

A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreationLogic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since.

In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century.

Convergence of Blockchain, AI and IoT: A Digital Platform discusses the convergence of three powerful technologies that play into the digital revolution and blur the lines between biological, digital, and physical objects.