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020			_a9783034808613
037			_cTextbook
040			_aCSL _beng _cCSL
041			_aeng
084			_aB:(R1) Q4 TB _qCSL
100			_aLi, Wei _eauthor _9447292
245		0	_aMathematical logic _b: foundations for information science
250			_a2nd rev. ed.
260			_aNew York : _bBirkhauser, _c2014.
300			_axiv, 301p. _b: ill.
500			_aAppendix 1-2 279-282p.; Bibliography 293-296p.; Index 297-301p.
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.
650			_a Formal inference systems _9817330
650			_a Godel theorems _9817331
650			_aInductive inference _9817332
942			_hB:(R1) Q4 TB _cTB _2CC _n0
999			_c13693 _d13693