Mathematical logic

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

The main aim of this book is to provide a compact self-contained presentation of the forcing technique devised by Cohen to establish the independence of the continuum hypothesis from the axioms of set theory.

This volume brings together a group of logic-minded philosophers and philosophically oriented logicians to address a diversity of topics on the structural analysis of non-classical logics.

The basics of category theory beautifully explained with a wealth of exercises.

Analysis and Synthesis of Singular Systems provides a base for further theoretical research and a design guide for engineering applications of singular systems.

How can one be assured that computer codes that solve differential equations are correct?

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Originally published in 1962.

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.

Rule-based fuzzy modeling has been recognised as a powerful technique for the modeling of partly-known nonlinear systems.

It is widely assumed that there exist certain objects which can in no way be distinguished from each other, unless by their location in space or other reference-system.

This book provides a critical examination of how the choice of what to believe is represented in the standard model of belief change.

This set comprises of Enterprise Level Security and Enterprise Level Security 2.

Incompleteness is a fascinating phenomenon at the intersection of mathematical foundations, computer science, and epistemology that places a limit on what is provable.

This book provides a concise and modern introduction to Formal Languages and Machine Computation, a group of disparate topics in the theory of computation, which includes formal languages, automata theory, turing machines, computability, complexity, number-theoretic computation, public-key cryptography, and some new models of computation, such as quantum and biological computation.

This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic.

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RC4 Stream Cipher and Its Variants is the first book to fully cover the popular software stream cipher RC4.

This book focuses on Robert Rosen's contributions to relational system theory, which is the science of organization and function.

This is a book about computation, something which is ubiquitous in the modern world.

Information Security and Optimization maintains a practical perspective while offering theoretical explanations.

The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research.

Constraint-based linguistics is intersected by three fields: logic, linguistics, and computer sciences.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

This book is a collection of essays that offer original logical and philosophical investigations into the century-long endeavor to understand paradoxes.

In the beginning of 1983, I came across A.

This volume, the 7th volume in the DRUMS Handbook series, is part of the aftermath of the successful ESPRIT project DRUMS (Defeasible Reasoning and Uncertainty Management Systems) which took place in two stages from 1989- 1996.

This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.

La varietà e l’interesse dei contributi alla Lettera Matematica Pristem hanno spinto i curatori, d’accordo con il comitato di redazione, a proporre in questa raccolta alcuni articoli apparsi sulla rivista dalla sua fondazione ad oggi.

The story of one of the greatest unsolved problems in mathematicsWhat is the shortest possible route for a traveling salesman seeking to visit each city on a list exactly once and return to his city of origin?

Nowadays algebra is understood basically as the general theory of algebraic oper- ations and relations.

The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic.

* Intended for a course for students in philosophy, mathematics, linguistics, or computer science, and excellent for self-study.

Fundamentals of Linear Algebra is like no other book on the subject.

This volume presents essays by pioneering thinkers including Tyler Burge, Gregory Chaitin, Daniel Dennett, Barry Mazur, Nicholas Humphrey, John Searle and Ian Stewart.

In addition to covering the essentials, the author's intention in writing this text is to entice the reader to further study mathematical logic.

These two volumes collect thirty-eight selected papers from the scientific contributions presented at the Fourth European Workshop on Quantum Systems in Chemistry and Physics (QSCP-IV), held in Marly-le-Roi (France) in April 22-27, 1999, A total ofone hundred and fifteen scientists attended the workshop, 99 from Europe and 16 from the rest ofthe world.

Blockchain is emerging as a powerful technology, which has attracted the wider attention of all businesses across the globe.

This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic.

without a properly developed inconsistent calculus based on infinitesimals, then in- consistent claims from the history of the calculus might well simply be symptoms of confusion.

This book gives an account of combinatory logic and lambda-calculus models.

A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry.

The aim of this volume is to collect original contributions by the best specialists from the area of proof theory, constructivity, and computation and discuss recent trends and results in these areas.