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The Resource Mathematical Logic : Foundations for Information Science, by Wei Li, (electronic resource)

Mathematical Logic : Foundations for Information Science, by Wei Li, (electronic resource)

Label
Mathematical Logic : Foundations for Information Science
Title
Mathematical Logic
Title remainder
Foundations for Information Science
Statement of responsibility
by Wei Li
Creator
Contributor
Author
Subject
Language
eng
Summary
Mathematical 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. The second edition of the book includes major revisions on the proof of the completeness theorem of the Gentzen system and new contents on the logic of scientific discovery, R-calculus without cut, and the operational semantics of program debugging. 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--
Member of
Assigning source
Provided by Publisher
http://library.link/vocab/creatorName
Li, Wei
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink (Online service)
Series statement
Progress in Computer Science and Applied Logic,
Series volume
25
http://library.link/vocab/subjectName
  • Computer science
  • Mathematical logic
Label
Mathematical Logic : Foundations for Information Science, by Wei Li, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0862-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- Preface to the Second Edition -- I Elements of Mathematical Logic -- 1 Syntax of First-Order Languages -- 2 Models of First-Order Languages -- 3 Formal Inference Systems -- 4 Computability & Representability -- 5 Gödel Theorems -- II Logical Framework of Scientific Discovery -- 6 Sequences of Formal Theories -- 7 Revision Calculus -- 8 Version Sequences -- 9 Inductive Inference -- 10 Meta-Language Environments -- Appendix 1 Sets and Maps -- Appendix 2 Proof of the Representability Theorem -- Bibliography -- Index
Control code
978-3-0348-0862-0
Dimensions
unknown
Edition
2nd ed. 2014.
Extent
XIV, 301 pages : 13 illustrations ;
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034808620
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0862-0
Other physical details
1 online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)899249140
Label
Mathematical Logic : Foundations for Information Science, by Wei Li, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0862-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- Preface to the Second Edition -- I Elements of Mathematical Logic -- 1 Syntax of First-Order Languages -- 2 Models of First-Order Languages -- 3 Formal Inference Systems -- 4 Computability & Representability -- 5 Gödel Theorems -- II Logical Framework of Scientific Discovery -- 6 Sequences of Formal Theories -- 7 Revision Calculus -- 8 Version Sequences -- 9 Inductive Inference -- 10 Meta-Language Environments -- Appendix 1 Sets and Maps -- Appendix 2 Proof of the Representability Theorem -- Bibliography -- Index
Control code
978-3-0348-0862-0
Dimensions
unknown
Edition
2nd ed. 2014.
Extent
XIV, 301 pages : 13 illustrations ;
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034808620
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0862-0
Other physical details
1 online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)899249140

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