Foundations Of Finitely Supported Structures
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Foundations Of Finitely Supported Structures
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Author : Andrei Alexandru
language : en
Publisher: Springer Nature
Release Date : 2020-07-20
Foundations Of Finitely Supported Structures written by Andrei Alexandru and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-20 with Computers categories.
This book presents a set theoretical development for the foundations of the theory of atomic and finitely supported structures. It analyzes whether a classical result can be adequately reformulated by replacing a 'non-atomic structure' with an 'atomic, finitely supported structure’. It also presents many specific properties, such as finiteness, cardinality, connectivity, fixed point, order and uniformity, of finitely supported atomic structures that do not have non-atomic correspondents. In the framework of finitely supported sets, the authors analyze the consistency of various forms of choice and related results. They introduce and study the notion of 'cardinality' by presenting various order and arithmetic properties. Finitely supported partially ordered sets, chain complete sets, lattices and Galois connections are studied, and new fixed point, calculability and approximation properties are presented. In this framework, the authors study the finitely supported L-fuzzy subsets of a finitely supported set and the finitely supported fuzzy subgroups of a finitely supported group. Several pairwise non-equivalent definitions for the notion of 'infinity' (Dedekind infinity, Mostowski infinity, Kuratowski infinity, Tarski infinity, ascending infinity) are introduced, compared and studied in the new framework. Relevant examples of sets that satisfy some forms of infinity while not satisfying others are provided. Uniformly supported sets are analyzed, and certain surprising properties are presented. Finally, some variations of the finite support requirement are discussed. The book will be of value to researchers in the foundations of set theory, algebra and logic.
New Foundations For Physical Geometry
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Author : Tim Maudlin
language : en
Publisher:
Release Date : 2014-02
New Foundations For Physical Geometry written by Tim Maudlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with Mathematics categories.
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
Foundations Of Software Science And Computational Structures
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Author : Helmut Seidl
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-02
Foundations Of Software Science And Computational Structures written by Helmut Seidl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-02 with Computers categories.
This book constitutes the refereed proceedings of the 10th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2007, held in Braga, Portugal in March/April 2007. The 25 revised full papers presented together with the abstract of one invited talk cover a broad spectrum on theories and methods to support analysis, synthesis, transformation and verification of programs and software systems.
Foundations Of Software Science And Computational Structures
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Author : Roberto Amadio
language : en
Publisher: Springer
Release Date : 2008-04-03
Foundations Of Software Science And Computational Structures written by Roberto Amadio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-03 with Computers categories.
This book contains the proceedings of the 11th International Conference on Foundations of Software Science and Computational Structures. It covers theories and methods to support analysis, synthesis, transformation and verification of software systems.
Foundations Of Software Science And Computation Structures
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Author : Igor Walukiewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-03-19
Foundations Of Software Science And Computation Structures written by Igor Walukiewicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-19 with Computers categories.
This book constitutes the refereed proceedings of the 7th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2004, held in Barcelona, Spain in March/April 2004. The 34 revised full papers presented together with the abstracts of 2 invited talks were carefully reviewed and selected from over 130 submissions. Among the topics addressed are lambda calculus, cryptographic protocol analysis, graphs and grammar systems, decision theory, bisimulation, rewriting, normalization, specification, verification, process calculi, mobile code, automata, program semantics, dynamic logics, timed languages, security analysis, information-theoretical aspects.
Logic Language Information And Computation
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Author : Agata Ciabattoni
language : en
Publisher: Springer Nature
Release Date : 2022-09-08
Logic Language Information And Computation written by Agata Ciabattoni and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-08 with Philosophy categories.
Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 28th Workshop on Logic, Language, Information and Computation, WoLLIC 2022, Iasi, Romania, in September 2022. The 25 full papers presented included with 8 extra abstracts, 5 invited talks and 3 tutorials were fully reviewed and selected from 46 submissions. The conference aims fostering interdisciplinary research in pure and applied logic.
Foundations Of Software Science And Computational Structures
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Author : Andrew D. Gordon
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-03-14
Foundations Of Software Science And Computational Structures written by Andrew D. Gordon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-14 with Computers categories.
This book constitutes the refereed proceedings of the 6th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2003, held in Warsaw, Poland in April 2003. The 26 revised full papers presented together with an invited paper were carefully reviewed and selected from 96 submissions. Among the topics covered are algebraic models; automata and language theory; behavioral equivalences; categorical models; computation processes over discrete and continuous data; computation structures; logics of programs; models of concurrent, reactive, distributed, and mobile systems; process algebras and calculi; semantics of programming languages; software specification and refinement; transition systems; and type systems and type theory.
Set Theory Arithmetic And Foundations Of Mathematics
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Author : Juliette Kennedy
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-01
Set Theory Arithmetic And Foundations Of Mathematics written by Juliette Kennedy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-01 with Mathematics categories.
This collection of papers from various areas of mathematical logic showcases the remarkable breadth and richness of the field. Leading authors reveal how contemporary technical results touch upon foundational questions about the nature of mathematics. Highlights of the volume include: a history of Tennenbaum's theorem in arithmetic; a number of papers on Tennenbaum phenomena in weak arithmetics as well as on other aspects of arithmetics, such as interpretability; the transcript of Gödel's previously unpublished 1972–1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin's paper arguing against the generic multiverse view; Anne Troelstra's history of intuitionism through 1991; and Aki Kanamori's history of the Suslin problem in set theory. The book provides a historical and philosophical treatment of particular theorems in arithmetic and set theory, and is ideal for researchers and graduate students in mathematical logic and philosophy of mathematics.
Finite Model Theory
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Author : Heinz-Dieter Ebbinghaus
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Finite Model Theory written by Heinz-Dieter Ebbinghaus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
Finite model theory has its origin in classical model theory, but owes its systematic development to research from complexity theory. The book presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed- point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. Other topics include DATALOG languages, quantifiers and oracles, 0-1 laws, and optimization and approximation problems. The book is written in such a way that the resp. parts on model theory and descriptive complexity theory may be read independently.
Reformed Epistemology And The Structure Of Knowledge
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Author : Shawn M. Langley
language : en
Publisher: Rowman & Littlefield
Release Date : 2024-12-15
Reformed Epistemology And The Structure Of Knowledge written by Shawn M. Langley and has been published by Rowman & Littlefield this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-15 with Religion categories.
Reformed Epistemology and the Structure of Knowledge: Cornelius Van Til and Alvin Plantinga on Belief develops a comparison of the epistemological formulations of Cornelius Van Til and Alvin Plantinga. Initial focus is placed on developing the extent to which Van Til’s work demonstrates a discernible theory of knowledge, and an argument is made for interpreting his epistemology as directly dependent on the conceptual resources of British Idealism. It is shown through Van Til’s appropriation of these resources that an idealist theory of knowledge is indispensable to, but not identifiable with, his distinct epistemological formulations. Attention then shifts to further clarification of these categories by way of Plantinga’s proper functionalist account of warrant. Here the underlying structure of knowledge for both Van Til and Plantinga is examined, demonstrating that Van Til’s formulations neither endorse an idealist coherentism nor exclude Plantinga’s foundationalism. Subsequent comparisons then consider arguments for meaningful similarity between each program, and give special consideration to the implications of such a comparison for contemporary discourse surrounding Van Til and Plantinga.