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＜電子ブック＞
Analysis and Synthesis of Logics : How to Cut and Paste Reasoning Systems / by Walter Carnielli, Marcelo Coniglio, Dov M. Gabbay, Paula Gouveia, Cristina Sernadas
(Applied Logic Series ; 35)

版	1st ed. 2008.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	XVI, 602 p : online resource
著者標目	*Carnielli, Walter author Coniglio, Marcelo author Gabbay, Dov M author Gouveia, Paula author Sernadas, Cristina author SpringerLink (Online service)
件　名	LCSH:Mathematical logic LCSH:Logic LCSH:Machine theory FREE:Mathematical Logic and Foundations FREE:Logic FREE:Formal Languages and Automata Theory
一般注記	Introductory overview -- Splicing logics: Syntactic fibring -- Splicing logics: Semantic fibring -- Heterogeneous fibring -- Fibring non-truth functional logics -- Fibring first-order logics -- Fibring higher-order logics -- Modulated fibring -- Splitting logics -- New trends: Network fibring -- Summing-up and outlook Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature (for instance, two Hilbert calculi or a Hilbert calculus and a tableau calculus). The important issue of preservation of properties is extensively addressed. For instance, sufficient conditions are provided for a combined logic to be sound and complete when the original component logics are known to be sound and complete. The book brings the reader to the front line of current research in the field by showing both recent achievements and directions of future investigations (in particular, multiple open problems). It also provides examples of potential applications in emergent fields like security protocols, quantum computing, networks and argumentation theory, besides discussing more classical applications like software specification, knowledge representation, computational linguistics and modular automated reasoning. This monograph will be of interest to researchers and graduate students in mathematical logic, theory of computation and philosophical logic with no previous knowledge of the subject of combining and decomposing logics, but with a working knowledge of first-order logic. The book will also be relevant for people involved in research projects where logic is used as a tool and the need for working with several logics at the same time is mandatory (for instance, temporal, epistemic and probabilistic logics) HTTP:URL=https://doi.org/10.1007/978-1-4020-6782-2

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