MARC details
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04770cam a2200481Ii 4500 |
| 001 - CONTROL NUMBER |
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ocn854975198 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240726105409.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
130803s2013 enk ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
EBLCP |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
EBLCP |
| Modifying agency |
OCLCO |
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YDXCP |
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NT |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461936565 |
| Qualifying information |
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| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA9 |
| Item number |
.L363 2013 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
NTA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Barendregt, Henk. |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
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| Title |
Lambda Calculus with TypesHenk Barendregt, Wil Dekkers, Richard Statman ; with contributions fron Fabio Alessi...[and others. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Cambridge : |
| Name of publisher, distributor, etc. |
Cambridge University Press, |
| Date of publication, distribution, etc. |
(c)2013. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (857 pages) |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
data file |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Perspectives in Logic |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Lambda Calculus with Types; Contents; Preface; Contributors; Our Founders; Introduction; Part I: Simple Types lambda rightarrow mathbb A; 1 The Simply Typed Lambda Calculus; 1.1 The systems lambda rightarrow mathbb A; 1.2 First properties and comparisons; 1.3 Normal inhabitants; 1.4 Representing data types; 1.5 Exercises; 2 Properties; 2.1 Normalization; 2.2 Proofs of strong normalization; 2.3 Checking and finding types; 2.4 Checking inhabitation; 2.5 Exercises; 3 Tools; 3.1 Semantics of lambda rightarrow; 3.2 Lambda theories and term models; 3.3 Syntactic and semantic logical relations |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
3.4 Type reducibility3.5 The five canonical term-models; 3.6 Exercises; 4 Definability, unification and matching; 4.1 Undecidability of lambda-definability; 4.2 Undecidability of unification; 4.3 Decidability of matching of rank 3; 4.4 Decidability of the maximal theory; 4.5 Exercises; 5 Extensions; 5.1 Lambda delta; 5.2 Surjective pairing; 5.3 Gödel's system mathcal T: higher-order primitive recursion; 5.4 Spector's system mathcal B: bar recursion; 5.5 Platek's system mathcal Y: fixed point recursion; 5.6 Exercises; 6 Applications; 6.1 Functional programming; 6.2 Logic and proof-checking |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
6.3 Proof theory6.4 Grammars, terms and types; Part II: Recursive Types lambda = mathcal A; 7 The Systems lambda = mathcal A; 7.1 Type algebras and type assignment; 7.2 More on type algebras; 7.3 Recursive types via simultaneous recursion; 7.4 Recursive types via mu-abstraction; 7.5 Recursive types as trees; 7.6 Special views on trees; 7.7 Exercises; 8 Properties of Recursive Types; 8.1 Simultaneous recursions vs mu-types; 8.2 Properties of mu-types; 8.3 Properties of types defined by a simultaneous recursion; 8.4 Exercises; 9 Properties of Terms with Types |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
9.1 First properties of lambda = mathcal A9.2 Finding and inhabiting types; 9.3 Strong normalization; 9.4 Exercises; 10 Models; 10.1 Interpretations of type assignments in lambda = mathcal A; 10.2 Interpreting Pi mu and Pi mu *; 10.3 Type interpretations in systems with explicit typing; 10.4 Exercises; 11 Applications; 11.1 Subtyping; 11.2 The principal type structures; 11.3 Recursive types in programming languages; 11.4 Further reading; 11.5 Exercises; Part III: Intersection Types lambda cap mathcal S; 12 An Example System; 12.1 The type assignment system lambda cap binary coded decimal |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
12.2 The filter model mathcal F binary coded decimal12.3 Completeness of type assignment; 13 Type Assignment Systems; 13.1 Type theories; 13.2 Type assignment; 13.3 Type structures; 13.4 Filters; 13.5 Exercises; 14 Basic Properties of Intersection Type Assignment; 14.1 Inversion lemmas; 14.2 Subject reduction and expansion; 14.3 Exercises; 15 Type and Lambda Structures; 15.1 Meet semi-lattices and algebraic lattices; 15.2 Natural type structures and lambda structures; 15.3 Type and zip structures; 15.4 Zip and lambda structures; 15.5 Exercises; 16 Filter Models; 16.1 Lambda models; 16.2 Filter models |
| 500 ## - GENERAL NOTE |
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| General note |
16.3 mathcal D infty models as filter models |
| 520 0# - SUMMARY, ETC. |
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| Summary, etc. |
This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographies and index. |
| 530 ## - COPYRIGHT INFORMATION: |
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| COPYRIGHT INFORMATION |
COPYRIGHT NOT covered - Click this link to request copyright permission: |
| Uniform Resource Identifier |
<a href="b">b</a> |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Lambda calculus. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Combinatory logic. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Lambda calculus. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics. |
| 655 #1 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic Books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Dekkers, Wil. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Statman, Richard. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=592746&site=eds-live&custid=s3260518">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=592746&site=eds-live&custid=s3260518</a> |
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Click to access digital title | log in using your CIU ID number and my.ciu.edu password |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) |
| DONATED BY: |
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| VENDOR |
EBSCO |
| Classification part |
QA. |
| PUBLICATION YEAR |
2013 |
| LOCATION |
ONLINE |
| REQUESTED BY: |
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NFIC |
| Source of classification or shelving scheme |
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02 |
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NT |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
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| a |
1 |
| b |
Cynthia Snell |
| c |
1 |
| d |
Cynthia Snell |