language, proof and logic

This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. This book concentrates on using logic as a tool: making and using formal proofs and disproofs of particular logical claims. In this book, Catarina Dutilh Novaes adopts a much wider conception of formal languages so as to investigate more broadly what exactly is going on when theorists put these tools to use. This book is intended, along with the computer program, to introduce the user to some of the most important concepts and tools of logic, including learning a new computer language. Found insideThis book argues that the meaning of negation, perhaps the most important logical constant, cannot be defined within the framework of the most comprehensive theory of proof-theoretic semantics, as formulated in the influential work of ... Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic. Note: This is the 3rd edition. Unified and self-contained introduction to term-rewriting; suited for students or professionals. Well-written research monograph, recommended for students and professionals interested in model theory and definability theory. "Easy to use and a pleasure to read." — Bulletin of the American Mathematical Society. 1974 edition. This self-contained book presents the basic concepts, classical results, current state of the art and possible future directions in the field. Covers first-order language in method appropriate for first and second courses in logic. CD-ROM consists of a new book, 3 programs, and an Internet-based grading service. Found insideThis text develops a comprehensive theory of programming languages based on type systems and structural operational semantics. This text is designed to teach students how to read and write proofs in mathematics and to acquaint them with how mathematicians investigate problems and formulate conjecture. Found insideGood Press publishes a wide range of titles that encompasses every genre. From well-known classics & literary fiction and non-fiction to forgotten−or yet undiscovered gems−of world literature, we issue the books that need to be read. Consequently the book, while making an attractive first textbook for those who plan to specialise in logic, will be particularly valuable for mathematics and computer scientists whose primary interests lie elsewhere. Written to be a summary for academics and professionals as well as a textbook, this book condenses and advances recent scholarship in financial economics. Information technology has lead to an increasing need to present information visually. This volume addresses the logical aspects of the visualization of information. Found inside – Page iiiThis is a monograph about logic. Found insideThis book offers a concise introduction to both proof-theory and algebraic methods, the core of the syntactic and semantic study of logic respectively. This book is an introduction to the language and standard proof methods of mathematics. Found insideThis volume contains a series of lectures by leading researchers giving a presentation of new ideas on the impact of the concept of a formal proof on computation theory. Found insideThis book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos. Found insideFirst published in 2000. Routledge is an imprint of Taylor & Francis, an informa company. Found inside – Page iiIn case you are considering to adopt this book for courses with over 50 students, please contact ties.nijssen@springer.com for more information. The Logical Reasoning with Diagrams and Sentences courseware package teaches the principles of analytical reasoning and proof construction using a carefully crafted combination of textbook, desktop, and online materials. This collection of essays, by leading figures working within the philosophy of mathematics, is a response to the challenge of understanding the nature and role of the proof. As one of its major international, activities, Folli organizes each European Summer School for Logic, Language and Information (ESSLL) The type of material published in the Folli LNAI subline includes: proceedings (published in time for the ... Found insideAs a result, this book will be fun reading for anyone with an interest in mathematics. The basic thesis of this work is that philosophy should not squander its energies upon the unknowable, but should perform its proper function in criticism and analysis. Provides an essential introduction to classical logic. Found inside – Page iiThus the present work has a different target audience. The intent of this handbook is to present the elements of modern logic, including many current topics, to the reader having only basic mathe matical literacy. A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts. Found inside – Page iThis volume is a self-contained introduction to interactive proof in high- order logic (HOL), using the proof assistant Isabelle 2002. Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalise mathematics. The only prerequisite is a basic knowledge of undergraduate mathematics. This is the first book-length treatment of hybrid logic and its proof-theory. A substantial number of practice questions are offered both within the book itself and as interactive activities on a companion website. The Logic of Our Language teaches the practical and everyday application of formal logic. Found insideIt contains many new technical results and presentations of novel proof procedures. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction. Found insideThis book teaches students how to read and write proofs using Athena, a freely downloadable computer language. Athena proofs are machine-checkable and written in an intuitive natural-deduction style. Hyperproof is a system for learning the principles of analytical reasoning and proof construction, consisting of a text and a Macintosh software program. This new edition of Language and Woman's Place not only makes available once again the pioneering text of feminist linguistics; just as important, it places the text in the context of contemporary feminist and gender theory for a new ... Found insideWith a specially commissioned Preface written by Paolo Mancosu, this book has been revived for a new generation of readers. Rigorous introduction is simple enough in presentation and context for wide range of students. Describes the use of computer programs to check several proofs in the foundations of mathematics. Logic Primer presents a rigorous introduction to natural deduction systems of sentential and first-order logic. The text is designed to foster the student-instructor relationship. . . . The emphasis throughout is on natural deduction derivations, and the text's deductive systems are its greatest strength. Lemmon's unusual procedure of presenting derivations before truth tables is very effective. This book explains the Metamath language and program, with specific emphasis on the fundamentals of the MPE database. The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. Rev. ed. of: Language, proof, and logic / Jon Barwise & John Etchemendy. , with specific emphasis on the fundamentals of the visualization of information intuitive natural-deduction style Primer presents a introduction... The fundamentals of the art and possible future directions in the foundations of mathematics Primer presents rigorous... Bounded arithmetic and propositional proof complexity from the point of view of computational complexity and program with! Programs, and an Internet-based grading service insideIt contains many new technical results and presentations novel. 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