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020 _a9783764399771
_99783764399771
024 7 _a10.1007/9783764399771
_2doi
035 _avtls000363029
039 9 _a201509030651
_bVLOAD
_c201405070338
_dVLOAD
_y201402211137
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA8.9-QA10.3
100 1 _aLi, Wei.
_eautor
_9305523
245 1 0 _aMathematical Logic :
_bFoundations for Information Science /
_cby Wei Li.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2010.
300 _brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aProgress in Computer Science and Applied Logic (PCS) ;
_v25
500 _aSpringer eBooks
505 0 _aSyntax of First-Order Languages -- Models of First-Order Languages -- Formal Inference Systems -- Computability & Representability -- Gödel Theorems -- Sequences of Formal Theories -- Revision Calculus -- Version Sequences -- Inductive Inference -- Workflows for Scientific Discovery.
520 _aMathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds of language environments for theories and it presents the basic properties required of a meta-language environment. Finally, the book brings these themes together by describing a workflow for scientific research in the information era in which formal methods, interactive software and human invention are all used to their advantage. This book represents a valuable reference for graduate and undergraduate students and researchers in mathematics, information science and technology, and other relevant areas of natural sciences. Its first five chapters serve as an undergraduate text in mathematical logic and the last five chapters are addressed to graduate students in relevant disciplines.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783764399764
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-7643-9977-1
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c309715
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