Mathematical logic

This monograph offers a critical introduction to current theories of how scientific models represent their target systems.

Computability Theory: An Introduction to Recursion Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results.

The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work.

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.

Although cryptography plays an essential part in most modern solutions, especially in payments, cryptographic algorithms remain a black box for most users of these tools.

This proceedings volume contains most of the invited talks presented at the colloquium.

The first part of this book concerns the present state of the theory of chains (= total or linear orderings), in connection with some refinements of Ramsey's theorem, due to Galvin and Nash-Williams.

Logic, Methodology and Philosophy of Science VII

The visit of Gerald Sacks to the National University of Singapore in 1981 provided an opportunity to organize a shortconference in Mathematical Logic.

The papers appearing in this volume are part of those originally intended for presentation at the conference: Logic Colloquium '80 - European Summer Meeting of the Association for Symbolic Logic (A.

Fundamentals of Generalized Recursion Theory

Logic, Methodology and Philosophy of Science VI presents the results of recent research into the foundations of science.

Whether the source is more industry-based or academic research, there certainly appears to be a growing interest in the field of cryptocurrency.

Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol.

Foundations of Genetic Algorithms, Volume 2 provides insight of theoretical work in genetic algorithms.

In this revolutionary work, the author sets the stage for the science ofthe 21st Century, pursuing an unprecedented synthesis of fields previouslyconsidered unrelated.

This first part presents chapters on models of computation, complexity theory, data structures, and efficient computation in many recognized sub-disciplines of Theoretical Computer Science.

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.

Inductive Logic is number ten in the 11-volume Handbook of the History of Logic.

Quantum mechanics is said to be the most successful physical theory ever.

Quantification and modalities have always been topics of great interest for logicians.

'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own.

Handbook of the History of Logic brings to the development of logic the best in modern techniques of historical and interpretative scholarship.

Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics.

The theme of this book is the self-generation of information by the self-modification of systems.

The present volume contains a considered choice of the existing literature on Automath.

This volume is number five in the 11-volume Handbook of the History of Logic.

Fourteen papers presented at the 1987 European Summer Meeting of the Association for Symbolic Logic are collected in this volume.

Axiomatic Set Theory

This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic.

With the ever-increasing threat of cyber-attacks, especially as the COVID-19 pandemic helped to ramp up the use of digital communications technology, there is a continued need to find new ways to maintain and improve cybersecurity.

With the ever-increasing threat of cyber-attacks, especially as the COVID-19 pandemic helped to ramp up the use of digital communications technology, there is a continued need to find new ways to maintain and improve cybersecurity.

This is an introductory undergraduate textbook in set theory.

Starting at the very beginning with Aristotle's founding contributions, logic has been graced by several periods in which the subject has flourished, attaining standards of rigour and conceptual sophistication underpinning a large and deserved reputation as a leading expression of human intellectual effort.

For a brief time in history, it was possible to imagine that a sufficiently advanced intellect could, given sufficient time and resources, in principle understand how to mathematically prove everything that was true.

While it is well known that the Delian problems are impossible to solve with a straightedge and compass - for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments - the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s).

This contributed volume overviews recently presented approaches for carrying out QSPR/QSAR analysis by using a simplifying molecular input-line entry system (SMILES) to represent the molecular structure.

The present volume of the Handbook of the History of Logic is designed to establish 19th century Britain as a substantial force in logic, developing new ideas, some of which would be overtaken by, and other that would anticipate, the century's later capitulation to the mathematization of logic.

The expanded and updated 2nd edition of this classic text offers the reader a comprehensive introduction to the concepts of logic functions and equations and their applications across computer science.

This book presents a detailed treatment of ordinal combinatorics of large sets tailored for independence results.

The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic.

Problem solving is the very area of articifical intelligence AI which, probably, will never result in a complete set of formalized theories, in a pragmatic philosphy, or in a "e;universal"e; applied discipline.

Relation algebras are algebras arising from the study of binary relations.

This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students.

Modal logics, originally conceived in philosophy, have recently found many applications in computer science, artificial intelligence, the foundations of mathematics, linguistics and other disciplines.

This English translation of the author's original work has been thoroughly revised, expanded and updated.

This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science.

With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic.

Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic.

This book is an account of the important influence on the development of mathematical logic of Charles S.