Mathematical logic

Providing an in-depth introduction to fundamental classical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists.

This book collects, for the first time in one volume, contributions honoring Professor Raymond Smullyan's work on self-reference.

This book presents an English translation of a classic Russian text on duality theoryfor Heyting algebras.

This book constitutes the thoroughly refereed post-conference proceedings of the 23rd IFIP WG 1.

This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology.

The book has two parts: In the first, after a review of some seminal classical accounts of laws and explanations, a new account is proposed for distinguishing between laws and accidental generalizations (LAG).

This book constitutes the refereed proceedings of the 41st IFIP WG 6.

This book describes some basic principles that allow developers of computer programs (computer scientists, software engineers, programmers) to clearly think about the artifacts they deal with in their daily work: data types, programming languages, programs written in these languages that compute from given inputs wanted outputs, and programs that describe continuously executing systems.

Mathematical Labyrinths.

This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2012 Asian Initiative for Infinity Logic Summer School.

This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011.

The book is a research monograph on the notions of truth and assertibility as they relate to the foundations of mathematics.

This volume provides a forum which highlights new achievements and overviews of recent developments of the thriving logic groups in the Asia-Pacific region.

This book introduces the notion of an effective Kan fibration, a new mathematical structure which can be used to study simplicial homotopy theory.

Model Validation and Uncertainty Quantification, Volume 3:  Proceedings of the 39th IMAC, A Conference and Exposition on Structural Dynamics, 2021, the third volume of nine from the Conference brings together contributions to this important area of research and engineering.

This book explores the premise that a physical theory is an interpretation of the analytico-canonical formalism.

This book considers the important twentieth century Austrian philosopher, Ludwig Wittgenstein, and his conception of certainty.

This volume offers English translations of three early works by Ernst Schroder (1841-1902), a mathematician and logician whose philosophical ruminations and pathbreaking contributions to algebraic logic attracted the admiration and ire of figures such as Dedekind, Frege, Husserl, and C.

This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures.

This book presents an in-depth and critical reconstruction of Prawitz's epistemic grounding, and discusses it within the broader field of proof-theoretic semantics.

This third volume of the book series shows R-calculus is a Gentzen-typed deduction system which is non-monotonic, and is a concrete belief revision operator which is proved to satisfy the AGM postulates and the DP postulates.

This book demonstrates how to formally model various mathematical domains (including algorithms operating in these domains) in a way that makes them amenable to a fully automatic analysis by computer software.

Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the Third Tsinghua Interdisciplinary Workshop on Logic, Language, and Meaning, TLLM 2022, which was held virtually in April 2022.

This book helps readers easily learn basic model checking by presenting examples, exercises and case studies.

This book explores the fundamentals and applications of Blockchain technology.

This book explores the fundamentals and applications of Blockchain technology.

A WATERSTONES BEST BOOK OF 2023A NEW SCIENTIST BEST BOOK OF 2023WINNER OF THE LA TIMES SCIENCE & TECHNOLOGY 2023 BOOK PRIZE'A generous tour of mathematics for anyone whose instincts tend less towards "e;Just tell me the answer"e; and more towards "e;Wait, but why?

This book is about the relationship between necessary reasoning and visual experience in Charles S.

This book is about the relationship between necessary reasoning and visual experience in Charles S.

Logicians have developed beautiful algorithmic techniques for the construction of computably enumerable sets.

Logicians have developed beautiful algorithmic techniques for the construction of computably enumerable sets.

Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines.

Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields.

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

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

This is an introductory undergraduate textbook in set theory.

A Mathematical Introduction to Logic

Volumes 21 and 22 of Advances in Chemical Engineering contain ten prototypical paradigms which integrate ideas and methodologies from artificial intelligence with those from operations research, estimation andcontrol theory, and statistics.

Lowenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models.

This book is dedicated to Dick de Jongh's contributions to the theory of intuitionistic and provability logics.

This book presents the state of the art in the fields of formal logic pioneered by Graham Priest.

The goal of this monograph is to give an accessible introduction to nonstandard methods and their applications, with an emphasis on combinatorics and Ramsey theory.

"e;Tell me,"e; Wittgenstein once asked a friend, "e;why do people always say, it was natural for man to assume that the sun went round the earth rather than that the earth was rotating?

Are there truly fundamental entities in nature?

This book presents eleven peer-reviewed papers from the 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2017) held in Tbilisi, Georgia in December 2017.

Probabilistic Safety Assessment (PSA) is a structured, comprehensive, and logical analysis method aimed at identifying and assessing risks in complex technological systems, such as the nuclear power plants.

This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems.

This volume provides a broad perspective on the state of the art in the philosophy and conceptual foundations of quantum mechanics.

This book analyses an inconsistency within epistemic contextualism known as the factivity problem.