First-Order Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook First-Order Logic write by Raymond R. Smullyan. This book was released on 2012-12-06. First-Order Logic available in PDF, EPUB and Kindle. Except for this preface, this study is completely self-contained. It is intended to serve both as an introduction to Quantification Theory and as an exposition of new results and techniques in "analytic" or "cut-free" methods. We use the term "analytic" to apply to any proof procedure which obeys the subformula principle (we think of such a procedure as "analysing" the formula into its successive components). Gentzen cut-free systems are perhaps the best known example of ana lytic proof procedures. Natural deduction systems, though not usually analytic, can be made so (as we demonstrated in [3]). In this study, we emphasize the tableau point of view, since we are struck by its simplicity and mathematical elegance. Chapter I is completely introductory. We begin with preliminary material on trees (necessary for the tableau method), and then treat the basic syntactic and semantic fundamentals of propositional logic. We use the term "Boolean valuation" to mean any assignment of truth values to all formulas which satisfies the usual truth-table conditions for the logical connectives. Given an assignment of truth-values to all propositional variables, the truth-values of all other formulas under this assignment is usually defined by an inductive procedure. We indicate in Chapter I how this inductive definition can be made explicit-to this end we find useful the notion of a formation tree (which we discuss earlier).
First-Order Logic and Automated Theorem Proving
First-Order Logic and Automated Theorem Proving - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook First-Order Logic and Automated Theorem Proving write by Melvin Fitting. This book was released on 2012-12-06. First-Order Logic and Automated Theorem Proving available in PDF, EPUB and Kindle. There are many kinds of books on formal logic. Some have philosophers as their intended audience, some mathematicians, some computer scientists. Although there is a common core to all such books they will be very dif ferent in emphasis, methods, and even appearance. This book is intended for computer scientists. But even this is not precise. Within computer sci ence formal logic turns up in a number of areas, from program verification to logic programming to artificial intelligence. This book is intended for computer scientists interested in automated theorem proving in classical logic. To be more precise yet, it is essentially a theoretical treatment, not a how-to book, although how-to issues are not neglected. This does not mean, of course, that the book will be of no interest to philosophers or mathematicians. It does contain a thorough presentation of formal logic and many proof techniques, and as such it contains all the material one would expect to find in a course in formal logic covering completeness but not incompleteness issues. The first item to be addressed is, what are we talking about and why are we interested in it. We are primarily talking about truth as used in mathematical discourse, and our interest in it is, or should be, self-evident. Truth is a semantic concept, so we begin with models and their properties. These are used to define our subject.
Extensions of First-Order Logic
Extensions of First-Order Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Extensions of First-Order Logic write by Maria Manzano. This book was released on 1996-03-29. Extensions of First-Order Logic available in PDF, EPUB and Kindle. An introduction to many-sorted logic as an extension of first-order logic.
A Concise Introduction to Logic
A Concise Introduction to Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Concise Introduction to Logic write by Craig DeLancey. This book was released on 2017-02-06. A Concise Introduction to Logic available in PDF, EPUB and Kindle.
First-Order Logic
First-Order Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook First-Order Logic write by John Heil. This book was released on 2021-10-06. First-Order Logic available in PDF, EPUB and Kindle. "In his introduction to this most welcome republication (and second edition) of his logic text, Heil clarifies his aim in writing and revising this book: 'I believe that anyone unfamiliar with the subject who set out to learn formal logic could do so relying solely on [this] book. That, in any case, is what I set out to create in writing An Introduction to First-Order Logic.' Heil has certainly accomplished this with perhaps the most explanatorily thorough and pedagogically rich text I’ve personally come across. "Heil's text stands out as being remarkably careful in its presentation and illuminating in its explanations—especially given its relatively short length when compared to the average logic textbook. It hits all of the necessary material that must be covered in an introductory deductive logic course, and then some. It also takes occasional excursions into side topics, successfully whetting the reader’s appetite for more advanced studies in logic. "The book is clearly written by an expert who has put in the effort for his readers, bothering at every step to see the point and then explain it clearly to his readers. Heil has found some very clever, original ways to introduce, motivate, and otherwise teach this material. The author's own special expertise and perspective—especially when it comes to tying philosophy of mind, linguistics, and philosophy of language into the lessons of logic—make for a creative and fresh take on basic logic. With its unique presentation and illuminating explanations, this book comes about as close as a text can come to imitating the learning environment of an actual classroom. Indeed, working through its presentations carefully, the reader feels as though he or she has just attended an illuminating lecture on the relevant topics!" —Jonah Schupbach, University of Utah
