000 | 04200nam a22006135i 4500 | ||
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001 | 978-3-031-21112-6 | ||
003 | DE-He213 | ||
005 | 20240207153514.0 | ||
007 | cr nn 008mamaa | ||
008 | 230101s2023 sz | s |||| 0|eng d | ||
020 |
_a9783031211126 _9978-3-031-21112-6 |
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050 | 4 | _aQA75.5-76.95 | |
072 | 7 |
_aUYA _2bicssc |
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_aCOM051000 _2bisacsh |
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_aUYA _2thema |
|
082 | 0 | 4 |
_a004.0151 _223 |
100 | 1 |
_aFarmer, William M. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aSimple Type Theory _h[electronic resource] : _bA Practical Logic for Expressing and Reasoning About Mathematical Ideas / _cby William M. Farmer. |
250 | _a1st ed. 2023. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Birkhäuser, _c2023. |
|
300 |
_aXIV, 295 p. 10 illus., 3 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aComputer Science Foundations and Applied Logic, _x2731-5762 |
|
500 | _aAcceso multiusuario | ||
505 | 0 | _a1 Introduction -- 2 Answers to Readers' Questions -- 3 Preliminary Concepts -- 4 Syntax -- 5 Semantics -- 6 Additional Notation -- 7 Beta-reduction and Substitution -- 8 Proof Systems -- 9 Theories -- 10 Sequences -- 11 Developments -- 12 Real Number Mathematics -- 13 Morphisms 14 Alonzo Variants -- 15 Software Support. | |
520 | _aThis 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. | ||
541 |
_fUABC ; _cPerpetuidad |
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650 | 0 | _aComputer science. | |
650 | 0 | _aMathematical logic. | |
650 | 0 | _aComputational complexity. | |
650 | 0 | _aReasoning. | |
650 | 0 | _aSet theory. | |
650 | 1 | 4 | _aComputer Science Logic and Foundations of Programming. |
650 | 2 | 4 | _aMathematical Logic and Foundations. |
650 | 2 | 4 | _aComputational Complexity. |
650 | 2 | 4 | _aFormal Reasoning. |
650 | 2 | 4 | _aSet Theory. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783031211119 |
776 | 0 | 8 |
_iPrinted edition: _z9783031211133 |
776 | 0 | 8 |
_iPrinted edition: _z9783031211140 |
830 | 0 |
_aComputer Science Foundations and Applied Logic, _x2731-5762 |
|
856 | 4 | 0 |
_zLibro electrónico _uhttp://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-3-031-21112-6 |
912 | _aZDB-2-SCS | ||
912 | _aZDB-2-SXCS | ||
942 | _cLIBRO_ELEC | ||
999 |
_c260850 _d260849 |