Mathematical logic

Semiorder is probably one of the most frequently ordered structures in science.

Gerhard Gentzen is best known for his development of the proof systems of natural deduction and sequent calculus, central in many areas of logic and computer science today.

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.

Fourier analysis has many scientific applications - in physics, number theory, combinatorics, signal processing, probability theory, statistics, option pricing, cryptography, acoustics, oceanography, optics and diffraction, geometry, and other areas.

¡Descubre el lado divertido de las matemáticas universitarias!

This book examines positions that challenge the Fregean logic-first view.

The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject.

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

In this book I argue that a reason for the limited success of various studies under the general heading of cybernetics is failure to appreciate the importance of con- nuity, in a simple metrical sense of the term.

Graph theory continues to be one of the fastest growing areas of modern mathematics because of its wide applicability in such diverse disciplines as computer science, engineering, chemistry, management science, social science, and resource planning.

This volume commemorates the life, work and foundational views of Kurt Gödel by exploring the impact of his work and its future implications.

The volume includes twenty-five research papers presented as gifts to John L.

Die theoretische Logik, auch mathematische oder symbolische Logik genannt, ist eine Ausdehnung der formalen Methode der Mathematik auf das Gebiet der Logik.

This book covers blockchain from the underlying principles to how it enables applications to survive and surf on its shoulder.

Alex Oliver and Timothy Smiley provide a natural point of entry to what for most readers will be a new subject.

Logic networks and automata are facets of digital systems.

This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs.

The philosophy of computer science is concerned with issues that arise from reflection upon the nature and practice of the discipline of computer science.

Cellular automata provide one of the most interesting avenues into the study of complex systems in general, as well as having an intrinsic interest of their own.

The idea of the present volume emerged in 2002 from a series of talks by Frank Stephan in 2002, and John Case in 2003, on developments of algorithmic learning theory.

Godel's true-but-unprovable sentence from the first incompleteness theorem is purely logical in nature, i.

Gerhard Gentzen has been described as logic's lost genius, whom Godel called a better logician than himself.

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.

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.

Lattice-valued Logic aims at establishing the logical foundation for uncertain information processing routinely performed by humans and artificial intelligence systems.

Originally published in 1962.

This book explains exactly what human knowledge is.

This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Lukasiewicz infinite-valued logic.

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

The European Summer School in Logic, Language and Information (ESSLLI) is organized every year by the Association for Logic, Language and Information (FoLLI) in different sites around Europe.

This book brings together contributions by leading researchers in computational complexity theory written in honor of Somenath Biswas on the occasion of his sixtieth birthday.

Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of students of computer science.

The idea for this book was conceived over the second bottle of Villa Maria's Caber- net Medot '89, at the dinner of the Australasian Combinatorics Conference held at Palmerston North, New Zealand in December 1990, where the authors first met and discovered they had a number of interests in common.

This volume considers the computational complexity of determining whether a system of equations over a fixed algebra A has a solution.

This book offers insight into the nature of meaningful discourse.

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.

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

The book offers a collection of essays on various aspects of Leibniz's scientific thought, written by historians of science and world-leading experts on Leibniz.

A reference book discussing applications of formal language theory to group theory, particularly geometric and computational group theory.

This self-contained book is an exposition of the fundamental ideas of model theory.

Modal Logic is a branch of logic with applications in many related disciplines such as computer science, philosophy, linguistics and artificial intelligence.

"e;Introduction to Modern Number Theory"e; surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory.

The completion of the first draft of the human genome has led to an explosion of interest in genetics and molecular biology.

Since their appearance in the late 19th century, the Cantor--Dedekind theory of real numbers and philosophy of the continuum have emerged as pillars of standard mathematical philosophy.

With exercises and projects, Exploring Mathematics supports an active approach to the transition to upper-level theoretical math courses.