MARC details
000 -LEADER |
fixed length control field |
02798nam a2200349Ia 4500 |
000 - LEADER |
fixed length control field |
03412nam a22003855i 4500 |
001 - CONTROL NUMBER |
control field |
978-3-031-21112-6 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240319120756.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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230101s2023 sz | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783031211126 |
-- |
978-3-031-21112-6 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
4.0151 |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Farmer, William M. |
9 (RLIN) |
28363 |
245 ## - TITLE STATEMENT |
Title |
Simple Type Theory |
Statement of responsibility, etc. |
by William M. Farmer. |
Medium |
[electronic resource] : |
250 ## - EDITION STATEMENT |
Edition statement |
1st ed. 2023. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Place of publication, distribution, etc. |
Cham |
Name of publisher, distributor, etc. |
Springer International Publishing |
Date of publication, distribution, etc. |
2023 |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XIV, 295 p. 10 illus., 3 illus. in color. |
Other physical details |
online resource. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This unique textbook, in contrast to a standard logic text, provides the reader with a logic that actually can be used in practice to express and reason about mathematical ideas. The book is an introduction to simple type theory, a classical higher-order version of predicate logic that extends first-order logic. It presents a practice-oriented logic called Alonzo that is based on Alonzo Church's formulation of simple type theory known as Church's type theory. Unlike traditional predicate logics, Alonzo admits undefined expressions. The book illustrates, using Alonzo, how simple type theory is suited ideally for reasoning about mathematical structures and constructing libraries of mathematical knowledge. Topics and features: Offers the first book-length introduction to simple type theory as a predicate logic Provides the reader with a logic that is close to mathematical practice Presents the tools needed to build libraries of mathematical knowledge Employs two semantics, one for mathematics and one for logic Emphasizes the model-theoretic view of predicate logic Includes several important topics, such as definite description and theory morphisms, not usually found in standard logic textbooks Aimed at students of computing and mathematics at the graduate or upper-undergraduate level, this book is also well-suited for mathematicians, computing professionals, engineers, and scientists who need a practical logic for expressing and reasoning about mathematical ideas. William M. Farmer is a Professor in the Department of Computing and Software at McMaster University in Hamilton, Ontario, Canada. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Computational complexity. |
9 (RLIN) |
28364 |
|
Topical term or geographic name entry element |
Computational Complexity. |
9 (RLIN) |
28365 |
|
Topical term or geographic name entry element |
Computer Science Logic and Foundations of Programming. |
9 (RLIN) |
28366 |
|
Topical term or geographic name entry element |
Computer science. |
9 (RLIN) |
28367 |
|
Topical term or geographic name entry element |
Formal Reasoning. |
9 (RLIN) |
28368 |
|
Topical term or geographic name entry element |
Mathematical Logic and Foundations. |
9 (RLIN) |
28369 |
|
Topical term or geographic name entry element |
Mathematical logic. |
9 (RLIN) |
28370 |
|
Topical term or geographic name entry element |
Reasoning. |
9 (RLIN) |
28371 |
|
Topical term or geographic name entry element |
Set theory. |
9 (RLIN) |
28372 |
|
Topical term or geographic name entry element |
Set Theory. |
9 (RLIN) |
28373 |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-3-031-21112-6">https://doi.org/10.1007/978-3-031-21112-6</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
e-Book |
Source of classification or shelving scheme |
Dewey Decimal Classification |