Mathematical logic

An introduction to natural language semantics that offers an overview of the empirical domain and an explanation of the mathematical concepts that underpin the discipline.

This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area.

Are there truly fundamental entities in nature?

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.

This book constitutes the thoroughly revised selected papers from the 16th International Conference on Formal Aspects of Component Software, FACS 2019, held in Amsterdam, The Netherlands, in October 2019.

A systematic introduction suitable for readers who have little familiarity with logic.

This book deals with the problem of finding suitable languages that can represent specific classes of Petri nets, the most studied and widely accepted model for distributed systems.

This textbook provides a self-contained introduction to decidability of first-order theories and their combination.

This book presents the essential role of mathematical modelling and computational methods in representing physical phenomena mathematically, focusing on the significance of the I-function.

Semiring theory stands with a foot in each of two mathematical domains.

This book is devoted to efficient pairing computations and implementations, useful tools for cryptographers working on topics like identity-based cryptography and the simplification of existing protocols like signature schemes.

Resolution Proof Systems: An Algebraic Theory presents a new algebraic framework for the design and analysis of resolution- based automated reasoning systems for a range of non-classical logics.

An understanding of emergent computation requires a profound revision of the most fundamental ideas.

Delivers a broad, conceptual introduction to chromatic homotopy theory, focusing on contact with arithmetic and algebraic geometry.

Das Abenteuergefühl ist ein Element des Spiels.

J.

This two-volume set bridges the gap between introductory texts and the research literature.

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.

This book explores the exciting world of quantum computing, from its theoretical foundations to its practical applications, offering both non-technical and expert readers a comprehensive and accessible introduction to this cutting-edge technology that has the potential to revolutionize the way we process and transmit information.

The goal of this unique text is to provide an "e;experience"e; that would facilitate a better transition for mathematics majors to the advanced proof-based courses required for their major.

Illustrating the power of algorithms, Algorithmic Cryptanalysis describes algorithmic methods with cryptographically relevant examples.

This book has enjoyed considerable use and appreciation during its first four editions.

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

Automatic Complexity discusses a treatment of a computable form of Kolmogorov complexity, in which Turing machines are replaced by finite automata.

This volume is a collection of written versions of the talks given at the Workshop on Computational Prospects of Infinity, held at the Institute for Mathematical Sciences from 18 June to 15 August 2005.

The Asian Logic Conference (ALC) is a major international event in mathematical logic.

Logic is of course a general resource for reasoning at large.

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.

Today we witness an explosive growth in attention to Q-computing.

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.

An up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians.

Originally published in 1973.

As the 21st century begins, the power of our magical new tool and partner, the computer, is increasing at an astonishing rate.

A Transition to Advanced Mathematics: A Survey Course promotes the goals of a "e;bridge' course in mathematics, helping to lead students from courses in the calculus sequence (and other courses where they solve problems that involve mathematical calculations) to theoretical upper-level mathematics courses (where they will have to prove theorems and grapple with mathematical abstractions).

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

Digital forensics plays a crucial role in identifying, analysing, and presenting cyber threats as evidence in a court of law.

There are many uncertainties in the real world.

Foundations of Genetic Algorithms 1991 (FOGA 1) discusses the theoretical foundations of genetic algorithms (GA) and classifier systems.

This textbook presents the basics of philosophy that are necessary for the student and researcher in science in order to better understand scientific work.

This book presents diverse topics in mathematical logic such as proof theory, meta-mathematics, and applications of logic to mathematical structures.

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Logic functions and equations are (some of) the most important concepts of Computer Science with many applications such as Binary Arithmetics, Coding, Complexity, Logic Design, Programming, Computer Architecture and Artificial Intelligence.

In 1965 Juris Hartmanis and Richard E.