Hybrid Logic And Its Proof Theory
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| Author | : Torben Braüner |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 240 |
| Release | : 2010-11-17 |
| Genre | : Philosophy |
| ISBN | : 9400700024 |
This is the first book-length treatment of hybrid logic and its proof-theory. Hybrid logic is an extension of ordinary modal logic which allows explicit reference to individual points in a model (where the points represent times, possible worlds, states in a computer, or something else). This is useful for many applications, for example when reasoning about time one often wants to formulate a series of statements about what happens at specific times. There is little consensus about proof-theory for ordinary modal logic. Many modal-logical proof systems lack important properties and the relationships between proof systems for different modal logics are often unclear. In the present book we demonstrate that hybrid-logical proof-theory remedies these deficiencies by giving a spectrum of well-behaved proof systems (natural deduction, Gentzen, tableau, and axiom systems) for a spectrum of different hybrid logics (propositional, first-order, intensional first-order, and intuitionistic).
| Author | : Andrzej Indrzejczak |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 515 |
| Release | : 2010-07-03 |
| Genre | : Philosophy |
| ISBN | : 9048187850 |
This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.
| Author | : André Platzer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 446 |
| Release | : 2010-09-02 |
| Genre | : Mathematics |
| ISBN | : 3642145094 |
Hybrid systems are models for complex physical systems and have become a widely used concept for understanding their behavior. Many applications are safety-critical, including car, railway, and air traffic control, robotics, physical–chemical process control, and biomedical devices. Hybrid systems analysis studies how we can build computerized controllers for physical systems which are guaranteed to meet their design goals. The author gives a unique, logic-based perspective on hybrid systems analysis. It is the first book that leverages the power of logic for hybrid systems. The author develops a coherent logical approach for systematic hybrid systems analysis, covering its theory, practice, and applications. It is further shown how the developed verification techniques can be used to study air traffic and railway control systems. This book is intended for researchers, postgraduates, and professionals who are interested in hybrid systems analysis, cyberphysical or embedded systems design, logic and theorem proving, or transportation and automation.
| Author | : Alexandre Madeira |
| Publisher | : Springer |
| Total Pages | : 211 |
| Release | : 2017-12-30 |
| Genre | : Computers |
| ISBN | : 3319735799 |
This book constitutes the proceedings of the First International Workshop on Dynamic Logic, DALI 2017, held in Brasilia, Brazil, in September 2017. Both its theoretical relevance and practical potential make Dynamic Logic a topic of interest in a number of scientific venues, from wide-scope software engineering conferences to modal logic specific events. The workshop is promoted by an R&D project on dynamic logics for cyber-physical systems. The 12 full papers presented in this volume were carefully reviewed and selected from 25 submissions. The workshop is based on the project DaLí – Dynamic logics for cyber-physical systems: towards contract based design.
| Author | : Stephan Scheele |
| Publisher | : University of Bamberg Press |
| Total Pages | : 348 |
| Release | : 2015-07-02 |
| Genre | : |
| ISBN | : 3863093208 |
| Author | : Andre Rauber Du Bois |
| Publisher | : Springer |
| Total Pages | : 162 |
| Release | : 2013-09-24 |
| Genre | : Computers |
| ISBN | : 3642409229 |
This book constitutes the proceedings of the 17th Brazilian Symposium on Programming Languages, SBLP 2013, held in Brasília, Brazil, in September/October 2013. The 10 full and 2 keynote talks were carefully reviewed and selected from 31 submissions. The papers are organized in topical sections on program generation and transformation, including domain-specific languages and model-driven development in the context of programming languages, programming paradigms and styles, including functional, object-oriented, aspect-oriented, scripting languages, real-time, service-oriented, multithreaded, parallel, and distributed programming, formal semantics and theoretical foundations, including denotational, operational, algebraic and categorical, program analysis and verification, including type systems, static analysis and abstract interpretation, and programming language design and implementation, including new programming models, programming language environments, compilation and interpretation techniques.
| Author | : Andrea Corradini |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 431 |
| Release | : 2011-08-19 |
| Genre | : Computers |
| ISBN | : 3642229433 |
This book constitutes the refereed proceedings of the 4th International Conference on Algebra and Coalgebra in Computer Science, CALCO 2011, held in Winchester, UK, in August/September 2011. The 21 full papers presented together with 4 invited talks were carefully reviewed and selected from 41 submissions. The papers report results of theoretical work on the mathematics of algebras and coalgebras, the way these results can support methods and techniques for software development, as well as experience with the transfer of the resulting technologies into industrial practice. They cover topics in the fields of abstract models and logics, specialized models and calculi, algebraic and coalgebraic semantics, and system specification and verification. The book also includes 6 papers from the CALCO-tools Workshop, colocated with CALCO 2011 and dedicated to tools based on algebraic and/or coalgebraic principles.
| Author | : Mihai Codescu |
| Publisher | : Springer |
| Total Pages | : 178 |
| Release | : 2015-12-29 |
| Genre | : Computers |
| ISBN | : 3319281143 |
This book constitutes the thoroughly refereed post-conference proceedings of the 22nd International Workshop on Algebraic Development Techniques, WADT 2014, held in September 2014 in Sinaia, Romania. The 8 revised papers presented were carefully reviewed and selected from 13 presentations and focus together with one invited paper on foundations of algebraic specification, approaches to formal specification including process calculi and models of concurrent, distributed and mobile computing, specification languages, methods, and environments, semantics of conceptual modeling methods and techniques, model-driven development, graph transformations, term rewriting and proof systems, integration of formal specification techniques, formal testing and quality assurance, validation, and verification.
| Author | : Dov M. Gabbay |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 282 |
| Release | : 2013-08-04 |
| Genre | : Philosophy |
| ISBN | : 9400766009 |
This second edition of the Handbook of Philosophical Logic reflects great changes in the landscape of philosophical logic since the first edition. It gives readers an idea of that landscape and its relation to computer science and formal language and artificial intelligence. It shows how the increased demand for philosophical logic from computer science and artificial intelligence and computational linguistics accelerated the development of the subject directly and indirectly. This development in turn, directly pushed research forward, stimulated by the needs of applications. New logic areas became established and old areas were enriched and expanded. At the same time, it socially provided employment for generations of logicians residing in computer science, linguistics and electrical engineering departments which of course helped keep the logic community to thrive. The many contributors to this Handbook are active in these application areas and are among the most famous leading figures of applied philosophical logic of our times.
| Author | : Andrzej Indrzejczak |
| Publisher | : Springer Nature |
| Total Pages | : 356 |
| Release | : 2020-12-16 |
| Genre | : Mathematics |
| ISBN | : 3030571459 |
This textbook offers a detailed introduction to the methodology and applications of sequent calculi in propositional logic. Unlike other texts concerned with proof theory, emphasis is placed on illustrating how to use sequent calculi to prove a wide range of metatheoretical results. The presentation is elementary and self-contained, with all technical details both formally stated and also informally explained. Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness, decidability, and interpolation. Other proofs are presented with portions left as exercises for readers, allowing them to practice techniques of sequent calculus. After a brief introduction to classical propositional logic, the text explores three variants of sequent calculus and their features and applications. The remaining chapters then show how sequent calculi can be extended, modified, and applied to non-classical logics, including modal, intuitionistic, substructural, and many-valued logics. Sequents and Trees is suitable for graduate and advanced undergraduate students in logic taking courses on proof theory and its application to non-classical logics. It will also be of interest to researchers in computer science and philosophers.
