Lambda Calculus with Types / (Record no. 2756909)

MARC details
000 -LEADER
fixed length control field 05778cam a2200793Ia 4500
001 - CONTROL NUMBER
control field ocn854975198
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220711204329.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu---unuuu
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130803s2013 enk ob 001 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency EBLCP
Language of cataloging eng
Description conventions pn
Transcribing agency EBLCP
Modifying agency OCLCO
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019 ## -
-- 1167329144
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461936565
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 146193656X
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781107272248
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1107272246
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781139032636
Qualifying information (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1139032631
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780521766142
Qualifying information (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0521766141
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781107471313
Qualifying information (paperback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1107471311
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781107275041
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 1107275040
029 1# - (OCLC)
OCLC library identifier DEBSZ
System control number 392053748
029 1# - (OCLC)
OCLC library identifier NZ1
System control number 15180564
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)854975198
Canceled/invalid control number (OCoLC)1167329144
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA9.5
072 #7 - SUBJECT CATEGORY CODE
Subject category code COM
Subject category code subdivision 037000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 016000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 018000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.3
-- 511.35
Edition number 22
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Barendregt, Henk.
9 (RLIN) 352712
245 10 - TITLE STATEMENT
Title Lambda Calculus with Types /
Statement of responsibility, etc Henk Barendregt, Wil Dekkers, Richard Statman ; with contributions fron Fabio Alessi [and others].
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Cambridge :
Name of publisher, distributor, etc Cambridge University Press,
Date of publication, distribution, etc 2013.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (857 pages)
336 ## -
-- text
-- txt
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337 ## -
-- computer
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-- rdamedia
338 ## -
-- online resource
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490 1# - SERIES STATEMENT
Series statement Perspectives in Logic
588 0# -
-- Print version record.
505 0# - FORMATTED CONTENTS NOTE
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 8# - FORMATTED CONTENTS NOTE
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 8# - FORMATTED CONTENTS NOTE
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 8# - FORMATTED CONTENTS NOTE
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 BCD.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 12.2 The filter model mathcal F BCD12.3 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
General note 16.3 mathcal D infty models as filter models.
520 ## - SUMMARY, ETC.
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
Bibliography, etc Includes bibliographical references and index.
590 ## - LOCAL NOTE (RLIN)
Local note eBooks on EBSCOhost
Provenance (VM) [OBSOLETE] EBSCO eBook Subscription Academic Collection - Worldwide
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Lambda calculus.
9 (RLIN) 175285
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Lambda-calcul.
9 (RLIN) 959551
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element COMPUTERS
General subdivision Machine Theory.
Source of heading or term bisacsh
9 (RLIN) 38226
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS
General subdivision Infinity.
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS
General subdivision Logic.
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Lambda calculus.
Source of heading or term fast
-- (OCoLC)fst00991011
9 (RLIN) 175285
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Dekkers, Wil.
9 (RLIN) 352713
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Statman, Richard.
9 (RLIN) 352714
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Perspectives in logic.
9 (RLIN) 291457
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=592746">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=592746</a>
938 ## -
-- ProQuest Ebook Central
-- EBLB
-- EBL1303578
938 ## -
-- EBSCOhost
-- EBSC
-- 592746
938 ## -
-- YBP Library Services
-- YANK
-- 10907296
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-- 92
-- INOPJ
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Current library Date acquired Total Checkouts Date last seen Price effective from Koha item type
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