Format Paperback Subject Philosophy Logic Publisher Kings College Publications

Advances in Modal Logic, V4

Politics & Social Sciences

Zakharyaschev, M

Philosophy

College Publications

This book provides a concise introduction to the essential concepts in programming languages, using techniques from operational semantics. It is addressed to undergraduate students, as a complement to programming languages or operational semantics courses. There are three parts in the book, highlighting three major programming paradigms: - imperative languages: the main features of these languages are illustrated using Java, C, Pascal - functional languages: modern languages such as ML and Haskell are used to describe the functional style of programming - logic languages: the last part of the book gives an overview of logic programming using Prolog. After a general description of each family of languages, their semantics are studied using abstract machines and structural operational semantics. The book gives an in-depth analysis of the basic concepts in programming languages instead of a mere survey of languages, privileging the understanding of the basic techniques underlying the semantics of languages over simply describing their properties.

Programming Languages and Operational Semantics: An Introduction

Computers & Technology

Fernandez, M

Programming

String matching is a very important subject in the wider domain of text processing. It consists of finding one,or more generally, all the occurrences of a string (more generally called a pattern) in a text. The Handbook of Exact String Matching Algorithms presents 38 methods for solving this problem. For each, it gives the main features, a description, its C code, an example and references.

Handbook of Exact String Matching Algorithms

Charras, Christian

Lecroq, Thierry

The lambda-calculus lies at the very foundations of computer science. Besides its historical role in computability theory it has had significant influence on programming language design and implementation, denotational semantics, and domain theory. The book emphasises the proof theory for the type-free lambda-calculus. The first six chapters concern this calculus and cover the basic theory, reduction, models, computability, and the relationship between the lambda-calculus and combinatory logic. Chapter 7 presents a variety of typed calculi; first the simply typed lambda-calculus, then Milner-style polymorphism and, finally, the polymorphic lambda-calculus. Chapter 8 concerns two variants of the type-free lambda-calculus that have appeared in the research literature: the lazy lambda-calculus, and the lambda sigma-calculus. The final chapter contains references and a guide to further reading. There are exercises throughout. In contrast to earlier books on these topics, which were written by logicians, this book is written from a computer science perspective and emphasises the practical relevance of many of the key theoretical ideas. The book is intended as a course text for final year undergraduates or first year graduate students in computer science. Research students should find it a useful introduction to more specialist literature.

An Introduction to Lambda Calculi for Computer Scientists (Texts in Computing)

Hankin, C.

Computer Science

Format Paperback Subject Philosophy General Publisher Kings College Publications

Laws and Models in Science

Science & Math

This book describes how logical reasoning works and puts it to the test in applications. It is self-contained and presupposes no more than elementary competence in mathematics.

Logical Reasoning: A First Course

Nederpelt, R

Kamareddine, F

Homotopy is a basic discipline of mathematics having fundamental and various applications to important fields of mathematics. The Journal has a wide scope which ranges from homotopical algebra and algebraic number theory and functional analysis. Diverse algebraic, geometric, topological and categorical structures are closely related to homotopy and the influence of homotopy is found in many fundamental areas of mathematics such as general algebra, algebraic topology, algebraic geometry, category theory, differential geometry, computer science, K-theory, functional analysis, Galois theory ad in physical sciences as well. The J. Homotopy and Related Structures intends to develop its vision on the determining role of homotopy in mathematics. the aim of the Journal is to show the importance, merit and diversity of homotopy in mathematical sciences. The J. Homotopy and Related structures is primarily concerned with publishing carefully refereed significant and original research papers. However a limited number of carefully selected survey and expository papers are also included, and special issues devoted to Proceedings of meetings in the field as well as to Festschrifts.

Journal of Homotopy and Related Structures 3(1)

Mathematics

Long ago, when Alexander the Great asked the mathematician Menaechmus for a crash course in geometry, he got the famous reply ``There is no royal road to mathematics.’’ Where there was no shortcut for Alexander, there is no shortcut for us. Still, the fact that we have access to computers and mature programming languages means that there are avenues for us that were denied to the kings and emperors of yore. The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming in Haskell. Haskell emerged in the 1990s as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvelous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures. This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book, the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others. This is the updated, expanded, and corrected second edition of a much-acclaimed textbook. Praise for the first edition: ‘Doets and van Eijck’s ``The Haskell Road to Logic, Maths and Programming’’ is an astonishingly extensive and accessible textbook on logic, maths, and Haskell.’ Ralf Laemmel, Professor of Computer Science, University of Koblenz-Landau

The Haskell Road to Logic, Maths and Programming. Second Edition (Texts in Computing)

Kees Doets

Jan van Eijck

This book contains around of a score of essays that examine or use Popperís fallibilist philosophy of science from various points of view. The opening sextet includes a new solution of the problem of induction, the status of corroboration, and the place of truth-values and logic(s). Then follow a trio of studies of relationships with some other philosophies, especially Bertrand Russellís. Next come five essays on the history and historiography of science and mathematics, and of mathematics education. They are followed by a quintet of speculations relating to aspects of psychology, especially psychical research, coincidences and the formation of languages in humans. Finally come two new items: one on the philosophy of mathematics, the other a public acknowledgement of the influence of Popper in August 2009 when the International Commission on the History of Mathematics awarded Grattan-Guinness the Kenneth O. May Medal and Prize in the History of Mathematics. I. Grattan-Guinness is Emeritus Professor of the History of Mathematics and Logic at Middlesex University, England, and also a Visiting Research Associate in the Centre for Philosophy of Natural and Social Science at the London School of Economics.

Corroborations and Criticisms. Forays with the Philosophy of Karl Popper (Texts in Philosophy)

Grattan-Guinness, Professor Ivor

This festschrift is in honour of a leading philosopher of argumentation. His theories of argument structure, whilst rooted in Aristotelian philosophy, have been influential in computer science and artificial intelligence. His theories have a strong empirical side and cover much of how argument and debate is conducted. They examine how the process of exploring disagreement and reaching consensus can be structured, and how the 'nuts and bolts' of reasoning in communication are put together. His theories are increasingly finding application in computer science, where his approach to commitment based modelling of dialogue has influenced the design of protocols for software agents, and his work on argument structure is being used to guide the development of a new, world-wide argument web.

Dialectics, Dialogue and Argumentation. an Examination of Douglas Walton's Theories of Reasoning (Tributes)

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