The Semantics and Proof Theory of the Logic of Bunched Implications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Semantics and Proof Theory of the Logic of Bunched Implications write by David J. Pym. This book was released on 2013-04-17. The Semantics and Proof Theory of the Logic of Bunched Implications available in PDF, EPUB and Kindle. This is a monograph about logic. Specifically, it presents the mathe matical theory of the logic of bunched implications, BI: I consider Bl's proof theory, model theory and computation theory. However, the mono graph is also about informatics in a sense which I explain. Specifically, it is about mathematical models of resources and logics for reasoning about resources. I begin with an introduction which presents my (background) view of logic from the point of view of informatics, paying particular attention to three logical topics which have arisen from the development of logic within informatics: • Resources as a basis for semantics; • Proof-search as a basis for reasoning; and • The theory of representation of object-logics in a meta-logic. The ensuing development represents a logical theory which draws upon the mathematical, philosophical and computational aspects of logic. Part I presents the logical theory of propositional BI, together with a computational interpretation. Part II presents a corresponding devel opment for predicate BI. In both parts, I develop proof-, model- and type-theoretic analyses. I also provide semantically-motivated compu tational perspectives, so beginning a mathematical theory of resources. I have not included any analysis, beyond conjecture, of properties such as decidability, finite models, games or complexity. I prefer to leave these matters to other occasions, perhaps in broader contexts.
Arnon Avron on Semantics and Proof Theory of Non-Classical Logics
Arnon Avron on Semantics and Proof Theory of Non-Classical Logics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Arnon Avron on Semantics and Proof Theory of Non-Classical Logics write by Ofer Arieli. This book was released on 2021-07-30. Arnon Avron on Semantics and Proof Theory of Non-Classical Logics available in PDF, EPUB and Kindle. This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and representations of the mechanization of mathematics. Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic.
Proof Theory and Automated Deduction
Proof Theory and Automated Deduction - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Proof Theory and Automated Deduction write by Jean Goubault-Larrecq. This book was released on 2001-11-30. Proof Theory and Automated Deduction available in PDF, EPUB and Kindle. Interest in computer applications has led to a new attitude to applied logic in which researchers tailor a logic in the same way they define a computer language. In response to this attitude, this text for undergraduate and graduate students discusses major algorithmic methodologies, and tableaux and resolution methods. The authors focus on first-order logic, the use of proof theory, and the computer application of automated searches for proofs of mathematical propositions. Annotation copyrighted by Book News, Inc., Portland, OR
Automated Reasoning with Analytic Tableaux and Related Methods
Automated Reasoning with Analytic Tableaux and Related Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automated Reasoning with Analytic Tableaux and Related Methods write by Serenella Cerrito. This book was released on 2019-08-22. Automated Reasoning with Analytic Tableaux and Related Methods available in PDF, EPUB and Kindle. This book constitutes the proceedings of the 28th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2019, held in London, UK, in September 2019, colocated with the 12th International Symposium on Frontiers on Combining Systems, FroCoS 2019. The 25 full papers presented were carefully reviewed and selected from 43 submissions.They present research on all aspects of the mechanization of tableaux-based reasoning and related methods, including theoretical foundations, implementation techniques, systems development and applications. The papers are organized in the following topical sections: tableau calculi, sequent calculi, semantics and combinatorial proofs, non-wellfounded proof systems, automated theorem provers, and logics for program or system verification.
Programming Languages and Systems
Programming Languages and Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Programming Languages and Systems write by Mooly Sagiv. This book was released on 2005-03-23. Programming Languages and Systems available in PDF, EPUB and Kindle. This book constitutes the refereed proceedings of the 14th European Symposium on Programming, ESOP 2005, held in Edinburgh, UK in April 2005 as part of ETAPS. The 28 revised full papers presented with the extended abstract of an invited paper were carefully reviewed and selected from 14 submissions. The papers deal with a broad variety of current issues in the specification, analysis, and implementation of programming languages and systems.
