Institution Independent Model Theory
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Institution Independent Model Theory
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Author : Razvan Diaconescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-01
Institution Independent Model Theory written by Razvan Diaconescu 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 2008-08-01 with Mathematics categories.
This book develops model theory independently of any concrete logical system or structure, within the abstract category-theoretic framework of the so called ‘institution theory’. The development includes most of the important methods and concepts of conventional concrete model theory at the abstract institution-independent level. Consequently it is easily applicable to a rather large diverse collection of logics from the mathematical and computer science practice.
Institution Independent Model Theory
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Author : Răzvan Diaconescu
language : en
Publisher: Springer Nature
Release Date : 2025-03-05
Institution Independent Model Theory written by Răzvan Diaconescu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-05 with Mathematics categories.
A model theory that is independent of any concrete logical system allows a general handling of a large variety of logics. This generality can be achieved by applying the theory of institutions that provides a precise general mathematical formulation for the intuitive concept of a logical system. Especially in computer science, where the development of a huge number of specification logics is observable, institution-independent model theory simplifies and sometimes even enables a concise model-theoretic analysis of the system. Besides incorporating important methods and concepts from conventional model theory, the proposed axiomatic top-down methodology allows for a structurally clean understanding of model-theoretic phenomena. Consequently, results from conventional concrete model theory can be understood more easily, and sometimes even new results are obtained. Moreover, all this is also applied to non-classical model theories. This second edition introduces some novelties in the presentation style which aim to enhance the readability of the material and the proofs. Additional chapters have also been added.
Perspectives On Universal Logic
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Author : J. Y. Beziau
language : en
Publisher: Polimetrica s.a.s.
Release Date : 2007
Perspectives On Universal Logic written by J. Y. Beziau and has been published by Polimetrica s.a.s. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Algebraic Modeling Of Topological And Computational Structures And Applications
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Author : Sofia Lambropoulou
language : en
Publisher: Springer
Release Date : 2017-12-14
Algebraic Modeling Of Topological And Computational Structures And Applications written by Sofia Lambropoulou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-14 with Mathematics categories.
This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging). The main mathematical focus throughout the book is on algebraic modeling with particular emphasis on braid groups. The research methods include algebraic modeling using topological structures, such as knots, 3-manifolds, classical homotopy groups, and braid groups. The applications address the simulation of polymer chains and ionic liquids, as well as the modeling of natural phenomena via topological surgery. The treatment of computational structures, including finite fields and cryptography, focuses on the development of novel techniques. These techniques can be applied to the design of algebraic specifications for systems modeling and verification. This book is the outcome of a workshop in connection with the research project Thales on Algebraic Modeling of Topological and Computational Structures and Applications, held at the National Technical University of Athens, Greece in July 2015. The reader will benefit from the innovative approaches to tackling difficult questions in topology, applications and interrelated research areas, which largely employ algebraic tools.
Algebra Meaning And Computation
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Author : Kokichi Futatsugi
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-22
Algebra Meaning And Computation written by Kokichi Futatsugi 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 2006-06-22 with Computers categories.
This volume - honoring the computer science pioneer Joseph Goguen on his 65th Birthday - includes 32 refereed papers by leading researchers in areas spanned by Goguen's work. The papers address a variety of topics from meaning, meta-logic, specification and composition, behavior and formal languages, as well as models, deduction, and computation, by key members of the research community in computer science and other fields connected with Joseph Goguen's work.
Theoretical Aspects Of Computing Ictac 2014
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Author : Gabriel Ciobanu
language : en
Publisher: Springer
Release Date : 2014-09-11
Theoretical Aspects Of Computing Ictac 2014 written by Gabriel Ciobanu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Computers categories.
This book constitutes the refereed proceedings of the 11th International Colloquium on Theoretical Aspects of Computing, ICTAC 2014 held in Bucharest, Romania, in September 2014. The 25 revised full papers presented together with three invited talks were carefully reviewed and selected from 74 submissions. The papers cover various topics such as automata theory and formal languages; principles and semantics of programming languages; theories of concurrency, mobility and reconfiguration; logics and their applications; software architectures and their models, refinement and verification; relationship between software requirements, models and code; static and dynamic program analysis and verification; software specification, refinement, verification and testing; model checking and theorem proving; models of object and component systems; coordination and feature interaction; integration of theories, formal methods and tools for engineering computing systems; service-oriented architectures: models and development methods; models of concurrency, security, and mobility; theories of distributed, grid and cloud computing; real-time, embedded, hybrid and cyber-physical systems; type and category theory in computer science; models for e-learning and education; case studies, theories, tools and experiments of verified systems; domain-specific modeling and technology: examples, frameworks and practical experience; challenges and foundations in environmental modeling and monitoring, healthcare, and disaster management.
Hajnal Andr Ka And Istv N N Meti On Unity Of Science
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Author : Judit Madarász
language : en
Publisher: Springer Nature
Release Date : 2021-05-31
Hajnal Andr Ka And Istv N N Meti On Unity Of Science written by Judit Madarász and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-31 with Philosophy categories.
This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.
Algebra And Coalgebra In Computer Science
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Author : José Luis Fiadeiro
language : en
Publisher: Springer
Release Date : 2005-08-31
Algebra And Coalgebra In Computer Science written by José Luis Fiadeiro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-31 with Computers categories.
In April 2004, after one year of intense debate, CMCS, the International Workshop on Coalgebraic Methods in Computer Science, and WADT, the Workshop on Al- braic Development Techniques, decided to join their forces and reputations into a new high-level biennial conference. CALCO, the Conference on Algebra and Co- gebra in Computer Science, was created to bring together researchers and practit- ners to exchange new results related to foundational aspects, and both traditional and emerging uses of algebras and coalgebras in computer science. A steering committee was put together by merging those of CMCS and WADT: Jiri Adamek, Ataru Na- gawa, Michel Bidoit, José Fiadeiro (co-chair), Hans-Peter Gumm, Bart Jacobs, Hans- Jörg Kreowski, Ugo Montanari, Larry Moss, Peter Mosses, Fernando Orejas, Fr- cesco Parisi-Presicce, John Power, Horst Reichel, Markus Roggenbach, Jan Rutten (co-chair), and Andrzej Tarlecki. CALCO 2005 was the first instance of this new conference. The interest that it generated in the scientific community suggests that it will not be the last. Indeed, it attracted as many as 62 submissions covering a wide range of topics roughly divided into two areas: Algebras and Coalgebras as Mathematical Objects: Automata and languages; categorical semantics; hybrid, probabilistic, and timed systems; inductive and co- ductive methods; modal logics; relational systems and term rewriting.
Algebra And Coalgebra In Computer Science
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Author : Till Mossakowski
language : en
Publisher: Springer
Release Date : 2007-08-22
Algebra And Coalgebra In Computer Science written by Till Mossakowski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-22 with Computers categories.
A double-pronged approach makes this book an extremely useful addition to the literature on this highly relevant contemporary topic. Addressing two basic areas of application for algebras and coalgebras – as mathematical objects as well as in the context of their application in computer science – the papers cover topics such as abstract models and logics, specialised models and calculi, algebraic and coalgebraic semantics, and system specification and verification. The book is the refereed proceedings of the second CALCO conference, held in August 2007 in Norway.
Scientific Discovery In The Social Sciences
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Author : Mark Addis
language : en
Publisher: Springer Nature
Release Date : 2019-09-12
Scientific Discovery In The Social Sciences written by Mark Addis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-12 with Philosophy categories.
This volume offers selected papers exploring issues arising from scientific discovery in the social sciences. It features a range of disciplines including behavioural sciences, computer science, finance, and statistics with an emphasis on philosophy. The first of the three parts examines methods of social scientific discovery. Chapters investigate the nature of causal analysis, philosophical issues around scale development in behavioural science research, imagination in social scientific practice, and relationships between paradigms of inquiry and scientific fraud. The next part considers the practice of social science discovery. Chapters discuss the lack of genuine scientific discovery in finance where hypotheses concern the cheapness of securities, the logic of scientific discovery in macroeconomics, and the nature of that what discovery with the Solidarity movement as a case study. The final part covers formalising theories in social science. Chapters analyse the abstract model theory of institutions as a way of representing the structure of scientific theories, the semi-automatic generation of cognitive science theories, and computational process models in the social sciences. The volume offers a unique perspective on scientific discovery in the social sciences. It will engage scholars and students with a multidisciplinary interest in the philosophy of science and social science.