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Author: Jan von Plato
Publisher: Princeton University Press
ISBN: 1400885035
Category : Science
Languages : en
Pages : 400
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Book Description
The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution. Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schröder, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt Gödel conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later. Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.
Author: Jan von Plato
Publisher: Princeton University Press
ISBN: 1400885035
Category : Science
Languages : en
Pages : 400
Get Book Here
Book Description
The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution. Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schröder, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt Gödel conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later. Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.
Author: Song Y Yan
Publisher: World Scientific
ISBN: 9814500836
Category : Mathematics
Languages : en
Pages : 419
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Book Description
This book provides a concise and modern introduction to Formal Languages and Machine Computation, a group of disparate topics in the theory of computation, which includes formal languages, automata theory, turing machines, computability, complexity, number-theoretic computation, public-key cryptography, and some new models of computation, such as quantum and biological computation. As the theory of computation is a subject based on mathematics, a thorough introduction to a number of relevant mathematical topics, including mathematical logic, set theory, graph theory, modern abstract algebra, and particularly number theory, is given in the first chapter of the book. The book can be used either as a textbook for an undergraduate course, for a first-year graduate course, or as a basic reference in the field.
Author: Song Y. Yan
Publisher: World Scientific
ISBN: 9789810234225
Category : Computers
Languages : en
Pages : 424
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Book Description
This book provides a concise and modern introduction to Formal Languages and Machine Computation, a group of disparate topics in the theory of computation, which includes formal languages, automata theory, turing machines, computability, complexity, number-theoretic computation, public-key cryptography, and some new models of computation, such as quantum and biological computation. As the theory of computation is a subject based on mathematics, a thorough introduction to a number of relevant mathematical topics, including mathematical logic, set theory, graph theory, modern abstract algebra, and particularly number theory, is given in the first chapter of the book. The book can be used either as a textbook for an undergraduate course, for a first-year graduate course, or as a basic reference in the field.
Author: Sébastien Combéfis
Publisher: Presses universitaires de Louvain
ISBN: 2875582526
Category : Science
Languages : en
Pages : 302
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Book Description
There are more and more automated systems with which people are led to interact everyday. Their complexity increases, and badly designed systems may result in automation surprises. The contribution of this thesis is a formal analysis framework to assess whether a system is prone to potential automation surprises in an interaction.
Author: Jonathan P. Bowen
Publisher: Springer Nature
ISBN: 303140436X
Category : Computers
Languages : en
Pages : 417
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Book Description
This Festschrift volume, dedicated to Jifeng He on the occasion of his 80th birthday, includes refereed papers by leading researchers, many of them current and former colleagues, presented at a dedicated celebration in the Shanghai Science Hall in September 2023. Jifeng was an important researcher on the European ESPRIT ProCoS project and the Working Group on Provably Correct Systems, subsequently he collaborated with Tony Hoare on Unifying Theories of Programming. Jifeng returned to China in 1998, first to the United Nations University in Macau and then to the East China Normal University in Shanghai. He has since founded an Artificial Intelligence research institute that focuses on the application of technology in large-scale industrial software systems. His scientific contributions have been recognized through his election to membership of the Chinese Academy of Sciences. The first paper in the volume provides an overview of Jifeng’s research contributions, especially in the area of formal methods, and the following two papers detail developments in UTP and rCOS (refinement calculus of object systems). In the next two sections of the book, the editors included papers by colleagues and coauthors of Jifeng while he was at the University of Oxford and engaged with the European ProCoS project. The section that follows includes papers authored by colleagues from his later research in China and Europe. The final section includes a paper related to Jifeng’s recent roadmap for UTP.
Author: Stefania Centrone
Publisher: Springer
ISBN: 9402411321
Category : Philosophy
Languages : en
Pages : 541
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Book Description
Essays on Husserl’s Logic and Philosophy of Mathematics sets out to fill up a lacuna in the present research on Husserl by presenting a precise account of Husserl’s work in the field of logic, of the philosophy of logic and of the philosophy of mathematics. The aim is to provide an in-depth reconstruction and analysis of the discussion between Husserl and his most important interlocutors, and to clarify pivotal ideas of Husserl’s by considering their reception and elaboration by some of his disciples and followers, such as Oskar Becker and Jacob Klein, as well as their influence on some of the most significant logicians and mathematicians of the past century, such as Luitzen E. J. Brouwer, Rudolf Carnap, Kurt Gödel and Hermann Weyl. Most of the papers consider Husserl and another scholar – e.g. Leibniz, Kant, Bolzano, Brentano, Cantor, Frege – and trace out and contextualize lines of influence, points of contact, and points of disagreement. Each essay is written by an expert of the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one.
Author: Ana Cavalcanti
Publisher: Springer Science & Business Media
ISBN: 3642050883
Category : Computers
Languages : en
Pages : 836
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Book Description
th FM 2009, the 16 International Symposium on Formal Methods, marked the 10th an- versary of the First World Congress on Formal Methods that was held in 1999 in Toulouse, France. We wished to celebrate this by advertising and organizing FM 2009 as the Second World Congress in the FM series, aiming to once again bring together the formal methods communities from all over the world. The statistics displayed in the table on the next page include the number of countries represented by the Programme Committee members, as well as of the authors of submitted and accepted papers. Novel this year was a special track on tools and industrial applications. Subm- sions of papers on these topics were especially encouraged, but not given any special treatment. (It was just as hard to get a special track paper accepted as any other paper.) What we did promote, however, was a discussion of how originality, contri- tion, and soundness should be judged for these papers. The following questions were used by our Programme Committee.
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Publisher:
ISBN:
Category : Music
Languages : en
Pages : 242
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Book Description
Author: Paul Boca
Publisher: Springer Science & Business Media
ISBN: 1848827369
Category : Computers
Languages : en
Pages : 290
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Book Description
Through fundamental contributions from leading researchers, this volume describes the use of formal modeling methods in the areas of requirements, design and validation. The self-contained chapters provide readers with rich background information and a diverse breadth of specialist material.
Author: Didier Bert
Publisher: Springer Science & Business Media
ISBN: 3540431667
Category : Computers
Languages : en
Pages : 547
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Book Description
This book constitutes the refereed proceedings of the Second International Conference of B and Z Users, ZB 2002, held in Grenoble, France in January 2002. The 24 papers presented together with three invited contributions were carefully reviewed and selected for inclusion in the book. The book documents the recent advances for the Z formal specification notion and for the B method; the full scope is covered, ranging from foundational and theoretical issues to advanced applications, tools, and case studies.
