Download or read book Software Abstractions written by Daniel Jackson and published by MIT Press. This book was released on 2012 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approach to software design that introduces a fully automated analysis giving designers immediate feedback, now featuring the latest version of the Alloy language. In Software Abstractions Daniel Jackson introduces an approach to software design that draws on traditional formal methods but exploits automated tools to find flaws as early as possible. This approach—which Jackson calls “lightweight formal methods” or “agile modeling”—takes from formal specification the idea of a precise and expressive notation based on a tiny core of simple and robust concepts but replaces conventional analysis based on theorem proving with a fully automated analysis that gives designers immediate feedback. Jackson has developed Alloy, a language that captures the essence of software abstractions simply and succinctly, using a minimal toolkit of mathematical notions. This revised edition updates the text, examples, and appendixes to be fully compatible with Alloy 4.
Download or read book Abstraction written by and published by PediaPress. This book was released on with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logical Frameworks for Truth and Abstraction written by A. Cantini and published by Elsevier. This book was released on 1996-03-14 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English translation of the author's original work has been thoroughly revised, expanded and updated. The book covers logical systems known as type-free or self-referential. These traditionally arise from any discussion on logical and semantical paradoxes. This particular volume, however, is not concerned with paradoxes but with the investigation of type-free sytems to show that: (i) there are rich theories of self-application, involving both operations and truth which can serve as foundations for property theory and formal semantics; (ii) these theories provide a new outlook on classical topics, such as inductive definitions and predicative mathematics; (iii) they are particularly promising with regard to applications. Research arising from paradoxes has moved progressively closer to the mainstream of mathematical logic and has become much more prominent in the last twenty years. A number of significant developments, techniques and results have been discovered. Academics, students and researchers will find that the book contains a thorough overview of all relevant research in this field.
Download or read book Software Abstractions revised edition written by Daniel Jackson and published by MIT Press. This book was released on 2016-02-12 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approach to software design that introduces a fully automated analysis giving designers immediate feedback, now featuring the latest version of the Alloy language. In Software Abstractions Daniel Jackson introduces an approach to software design that draws on traditional formal methods but exploits automated tools to find flaws as early as possible. This approach—which Jackson calls “lightweight formal methods” or “agile modeling”—takes from formal specification the idea of a precise and expressive notation based on a tiny core of simple and robust concepts but replaces conventional analysis based on theorem proving with a fully automated analysis that gives designers immediate feedback. Jackson has developed Alloy, a language that captures the essence of software abstractions simply and succinctly, using a minimal toolkit of mathematical notions. This revised edition updates the text, examples, and appendixes to be fully compatible with Alloy 4.
Download or read book Abstraction and Infinity written by Paolo Mancosu and published by Oxford University Press. This book was released on 2016 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mancosu offers an original investigation of key notions in mathematics: abstraction and infinity, and their interaction. He gives a historical analysis of the theorizing of definitions by abstraction, and explores a novel approach to measuring the size of infinite sets, showing how this leads to deep mathematical and philosophical problems.
Download or read book Lectures on Logic written by Sir William Hamilton and published by . This book was released on 1883 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Joy of Abstraction written by Eugenia Cheng and published by Cambridge University Press. This book was released on 2022-10-13 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: A uniquely accessible introduction to abstract mathematics and category theory written by popular science author of How to Bake Pi.
Download or read book The Limits of Abstraction written by Kit Fine and published by Clarendon Press. This book was released on 2002 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Limits of Abstraction breaks new ground both technically and philosophically, and is essential reading for all those working on the philosophy of mathematics."--BOOK JACKET.
Download or read book Abstraction Refinement and Proof for Probabilistic Systems written by Annabelle McIver and published by Springer Science & Business Media. This book was released on 2005 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an integrated coverage of random/probabilistic algorithms, assertion-based program reasoning, and refinement programming models, providing a focused survey on probabilistic program semantics. This book illustrates, by examples, the typical steps necessary to build a mathematical model of any programming paradigm.
Download or read book Introduction to Logic Circuits Logic Design with Verilog written by Brock J. LaMeres and published by Springer Nature. This book was released on 2023-10-19 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook for courses in Digital Systems Design introduces students to the fundamental hardware used in modern computers. Coverage includes both the classical approach to digital system design (i.e., pen and paper) in addition to the modern hardware description language (HDL) design approach (computer-based). Using this textbook enables readers to design digital systems using the modern HDL approach, but they have a broad foundation of knowledge of the underlying hardware and theory of their designs. This book is designed to match the way the material is actually taught in the classroom. Topics are presented in a manner which builds foundational knowledge before moving onto advanced topics. The author has designed the presentation with learning goals and assessment at its core. Each section addresses a specific learning outcome that the student should be able to “do” after its completion. The concept checks and exercise problems provide a rich set of assessment tools to measure student performance on each outcome.
Download or read book The Art of Logic in an Illogical World written by Eugenia Cheng and published by Basic Books. This book was released on 2018-09-11 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.
Download or read book Lectures on Metaphysics and Logic Logic written by Sir William Hamilton and published by . This book was released on 1873 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Abstraction and Representation written by Peter Damerow and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the development of thinking under different cultural conditions, focusing on the evolution of mathematical thinking in the history of science and education. Starting from Piaget's genetic epistemology, it provides a conceptual framework for describing and explaining the development of cognition by reflective abstractions from systems of actions.
Download or read book Abstraction Reformulation and Approximation written by Ian Miguel and published by Springer. This book was released on 2007-08-24 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a subject that is as hot as a snake in a wagon rut, offering as it does huge potentiality in the field of computer programming. That’s why this book, which constitutes the refereed proceedings of the 7th International Symposium on Abstraction, Reformulation, and Approximation, held in Whistler, Canada, in July 2007, will undoubtedly prove so popular among researchers and professionals in relevant fields. 26 revised full papers are presented, together with the abstracts of 3 invited papers and 13 research summaries.
Download or read book Levels Of Abstraction In Logic And Human Action written by Elliott Jaques and published by . This book was released on 1978-12-31 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Digital Logic Design written by Guy Even and published by Cambridge University Press. This book was released on 2012-10-08 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, based on the authors' fifteen years of teaching, is a complete teaching tool for turning students into logic designers in one semester. Each chapter describes new concepts, giving extensive applications and examples. Assuming no prior knowledge of discrete mathematics, the authors introduce all background in propositional logic, asymptotics, graphs, hardware and electronics. Important features of the presentation are: • All material is presented in full detail. Every designed circuit is formally specified and implemented, the correctness of the implementation is proved, and the cost and delay are analyzed • Algorithmic solutions are offered for logical simulation, computation of propagation delay and minimum clock period • Connections are drawn from the physical analog world to the digital abstraction • The language of graphs is used to describe formulas and circuits • Hundreds of figures, examples and exercises enhance understanding. The extensive website (http://www.eng.tau.ac.il/~guy/Even-Medina/) includes teaching slides, links to Logisim and a DLX assembly simulator.
Download or read book Themes in Neoplatonic and Aristotelian Logic written by John N. Martin and published by Routledge. This book was released on 2017-02-27 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Were the most serious philosophers of the millennium 200 A.D. to 1200 A.D. just confused mystics? This book shows otherwise. John Martin rehabilitates Neoplatonism, founded by Plotinus and brought into Christianity by St. Augustine. The Neoplatonists devise ranking predicates like good, excellent, perfect to divide the Chain of Being, and use the predicate intensifier hyper so that it becomes a valid logical argument to reason from God is not (merely) good to God is hyper-good. In this way the relational facts underlying reality find expression in Aristotle's subject-predicate statements, and the Platonic tradition proves able to subsume Aristotle's logic while at the same time rejecting his metaphysics. In the Middle Ages when Aristotle's larger philosophy was recovered and joined again to the Neoplatonic tradition which was never lost, Neoplatonic logic lived along side Aristotle's metaphysics in a sometime confusing and unsettled way. Showing Neoplatonism to be significantly richer in its logical and philosophical ideas than it is usually given credit for, this book will be of interest not just to historians of logic, but to philosophers, logicians, linguists, and theologians.
