Logic And Algebraic Methods
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| Author | : J. Michael Dunn |
| Publisher | : OUP Oxford |
| Total Pages | : 490 |
| Release | : 2001-06-28 |
| Genre | : |
| ISBN | : 0191589225 |
Download Algebraic Methods in Philosophical Logic Book in PDF, Epub and Kindle
This comprehensive text demonstrates how various notions of logic can be viewed as notions of universal algebra. It is aimed primarily for logisticians in mathematics, philosophy, computer science and linguistics with an interest in algebraic logic, but is also accessible to those from a non-logistics background. It is suitable for researchers, graduates and advanced undergraduates who have an introductory knowledge of algebraic logic providing more advanced concepts, as well as more theoretical aspects. The main theme is that standard algebraic results (representations) translate into standard logical results (completeness). Other themes involve identification of a class of algebras appropriate for classical and non-classical logic studies, including: gaggles, distributoids, partial- gaggles, and tonoids. An imporatant sub title is that logic is fundamentally information based, with its main elements being propositions, that can be understood as sets of information states. Logics are considered in various senses e.g. systems of theorems, consequence relations and, symmetric consequence relations.
| Author | : Ladislav Rieger |
| Publisher | : Elsevier |
| Total Pages | : 213 |
| Release | : 2014-05-12 |
| Genre | : Mathematics |
| ISBN | : 1483270521 |
Download Algebraic Methods of Mathematical Logic Book in PDF, Epub and Kindle
Algebraic Methods of Mathematical Logic focuses on the algebraic methods of mathematical logic, including Boolean algebra, mathematical language, and arithmetization. The book first offers information on the dialectic of the relation between mathematical and metamathematical aspects; metamathematico-mathematical parallelism and its natural limits; practical applications of methods of mathematical logic; and principal mathematical tools of mathematical logic. The text then elaborates on the language of mathematics and its symbolization and recursive construction of the relation of consequence. Discussions focus on recursive construction of the relation of consequence, fundamental descriptively-semantic rules, mathematical logic and mathematical language as a material system of signs, and the substance and purpose of symbolization of mathematical language. The publication examines expressive possibilities of symbolization; intuitive and mathematical notions of an idealized axiomatic mathematical theory; and the algebraic theory of elementary predicate logic. Topics include the notion of Boolean algebra based on joins, meets, and complementation, logical frame of a language and mathematical theory, and arithmetization and algebraization. The manuscript is a valuable reference for mathematicians and researchers interested in the algebraic methods of mathematical logic.
| Author | : Hiroakira Ono |
| Publisher | : Springer |
| Total Pages | : 160 |
| Release | : 2019-08-02 |
| Genre | : Philosophy |
| ISBN | : 9811379971 |
Download Proof Theory and Algebra in Logic Book in PDF, Epub and Kindle
This book offers a concise introduction to both proof-theory and algebraic methods, the core of the syntactic and semantic study of logic respectively. The importance of combining these two has been increasingly recognized in recent years. It highlights the contrasts between the deep, concrete results using the former and the general, abstract ones using the latter. Covering modal logics, many-valued logics, superintuitionistic and substructural logics, together with their algebraic semantics, the book also provides an introduction to nonclassical logic for undergraduate or graduate level courses.The book is divided into two parts: Proof Theory in Part I and Algebra in Logic in Part II. Part I presents sequent systems and discusses cut elimination and its applications in detail. It also provides simplified proof of cut elimination, making the topic more accessible. The last chapter of Part I is devoted to clarification of the classes of logics that are discussed in the second part. Part II focuses on algebraic semantics for these logics. At the same time, it is a gentle introduction to the basics of algebraic logic and universal algebra with many examples of their applications in logic. Part II can be read independently of Part I, with only minimum knowledge required, and as such is suitable as a textbook for short introductory courses on algebra in logic.
| Author | : Cecylia Rauszer |
| Publisher | : |
| Total Pages | : 350 |
| Release | : 1993 |
| Genre | : Algebra, Universal |
| ISBN | : |
Download Algebraic Methods in Logic and in Computer Science Book in PDF, Epub and Kindle
| Author | : J. Michael Dunn |
| Publisher | : |
| Total Pages | : 470 |
| Release | : 2001 |
| Genre | : |
| ISBN | : |
Download Algebraic Methods in Philosophical Logic Book in PDF, Epub and Kindle
| Author | : Uli Fahrenberg |
| Publisher | : Springer Nature |
| Total Pages | : 515 |
| Release | : 2021-10-22 |
| Genre | : Computers |
| ISBN | : 3030887014 |
Download Relational and Algebraic Methods in Computer Science Book in PDF, Epub and Kindle
This book constitutes the proceedings of the 19th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2021, which took place in Marseille, France, during November 2-5, 2021. The 29 papers presented in this book were carefully reviewed and selected from 35 submissions. They deal with the development and dissemination of relation algebras, Kleene algebras, and similar algebraic formalisms. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond.
| Author | : Samson Abramsky |
| Publisher | : |
| Total Pages | : 537 |
| Release | : 2000 |
| Genre | : Computer science |
| ISBN | : |
Download Logic and Algebraic Methods Book in PDF, Epub and Kindle
| Author | : Samson Abramsky |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1992 |
| Genre | : Computer programming |
| ISBN | : |
Download Handbook of Logic in Computer Science: Logic and algebraic methods Book in PDF, Epub and Kindle
| Author | : D.W. Barnes |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 129 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 1475744897 |
Download An Algebraic Introduction to Mathematical Logic Book in PDF, Epub and Kindle
This book is intended for mathematicians. Its origins lie in a course of lectures given by an algebraist to a class which had just completed a substantial course on abstract algebra. Consequently, our treatment of the subject is algebraic. Although we assume a reasonable level of sophistication in algebra, the text requires little more than the basic notions of group, ring, module, etc. A more detailed knowledge of algebra is required for some of the exercises. We also assume a familiarity with the main ideas of set theory, including cardinal numbers and Zorn's Lemma. In this book, we carry out a mathematical study of the logic used in mathematics. We do this by constructing a mathematical model of logic and applying mathematics to analyse the properties of the model. We therefore regard all our existing knowledge of mathematics as being applicable to the analysis of the model, and in particular we accept set theory as part of the meta-Ianguage. We are not attempting to construct a foundation on which all mathematics is to be based--rather, any conclusions to be drawn about the foundations of mathematics come only by analogy with the model, and are to be regarded in much the same way as the conclusions drawn from any scientific theory.
| Author | : Martin Wirsing |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 572 |
| Release | : 1989-09-20 |
| Genre | : Computers |
| ISBN | : 9783540516989 |
Download Algebraic Methods: Theory, Tools and Applications Book in PDF, Epub and Kindle
