Steffen van Bakel
2011
Strict Intersection Types for the Lambda Calculus
ACM Computing Surveys
43
3
20
10.1145/1922649.1922657
Henk Barendregt
1984
The Lambda Calculus: its Syntax and Semantics
revised
North-Holland
Henk Barendregt
Mario Coppo
Mariangiola Dezani-Ciancaglini
1983
A Filter Lambda Model and the Completeness of Type Assignment
The Journal of Symbolic Logic
48
4
931–940
10.2307/2273659
Henk Barendregt
Wil Dekkers
Richard Statman
2013
Lambda Calculus with Types
Perspectives in logic
Cambridge University Press
10.1017/CBO9781139032636
Corrado Böhm
Mariangiola Dezani-Ciancaglini
1974
Combinatorial Problems, Combinator Equations and Normal Forms
Jacques Loeckx
ICALP'74
LNCS
14
Springer
185–199
10.1007/3-540-06841-4_60
Kim Bruce
Roberto Di Cosmo
Giuseppe Longo
1992
Provable isomorphisms of types
Mathematical Structures in Computer Science
2
2
231–247
10.1017/S0960129500001444
Kim Bruce
Giuseppe Longo
1985
Provable Isomorphisms and Domain Equations in Models of Typed Languages
Robert Sedgewick
STOC'85
ACM Press
263 – 272
10.1145/22145.22175
Mario Coppo
Mariangiola Dezani-Ciancaglini
Ines Margaria
Maddalena Zacchi
2013
Towards Isomorphism of Intersection and Union Types
Stephane Graham-Lengrand
Luca Paolini
ITRS'12
EPTCS
121
58 – 80
10.4204/EPTCS.121.5
Mario Coppo
Mariangiola Dezani-Ciancaglini
Ines Margaria
Maddalena Zacchi
2014
Isomorphism of ``Functional" Intersection Types
Ralph Matthes
Aleksy Schubert
Types'13
26
LIPIcs
129–149
10.4230/LIPIcs.TYPES.2013.129
Mario Coppo
Mariangiola Dezani-Ciancaglini
Ines Margaria
Maddalena Zacchi
2015
Isomorphism of Intersection and Union Types
Mathematical Structures in Computer Science
10.1017/S0960129515000304
Published online: 07 August 2015
Mario Coppo
Mariangiola Dezani-Ciancaglini
Ines Margaria
Maddalena Zacchi
2015
On Isomorphism of ``Functional'' Intersection and Union Types
Jacob Rehof
ITRS'14
EPTCS
177
53–64
10.4204/EPTCS.177
Haskell B. Curry
Robert Feys
1958
Combinatory Logic
Studies in Logic and the Foundations of Mathematics
I
North-Holland
Ugo de'Liguoro
Adolfo Piperno
Rick Statman
1992
Retracts in Simply Typed λβη-calculus
Andre Scedrov
LICS'92
IEEE Computer Society Press
461–469
10.1109/LICS.1992.185557
Mariangiola Dezani-Ciancaglini
Roberto Di Cosmo
Elio Giovannetti
Makoto Tatsuta
2010
On Isomorphisms of Intersection Types
ACM Transactions on Computational Logic
11
4
1–22
10.1145/1805950.1805955
Roberto Di Cosmo
1995
Second Order Isomorphic Types. A Proof Theoretic Study on Second Order λ-calculus with Surjective Pairing and Terminal Object
Information and Computation
119
2
176–201
10.1006/inco.1995.1085
Roberto Di Cosmo
2005
A Short Survey of Isomorphisms of Types
Mathematical Structures in Computer Science
15
825–838
10.1017/S0960129505004871
Marcelo Fiore
Roberto Di Cosmo
Vincent Balat
2006
Remarks on Isomorphisms in Typed Lambda Calculi with Empty and Sum Types
Annals of Pure and Applied Logic
141
1–2
35–50
10.1016/j.apal.2005.09.001
Roger Hindley
Giuseppe Longo
1980
Lambda-Calculus Models and Extensionality
Mathematical Logic Quarterly
26
19-21
289–310
10.1002/malq.19800261902
Ines Margaria
Maddalena Zacchi
1983
Right and Left Invertibility in Lambda-Beta-Calculus
R.A.I.R.O. Theoretical Informatics
17
1
71–88
Vincent Padovani
2001
Retracts in Simple Types
Samson Abramsky
TLCA'01
LNCS
2044
Springer
376–384
10.1007/3-540-45413-6_29
Laurent Regnier
Pawel Urzyczyn
2002
Retractions of Types with Many Atoms
CoRR
cs.LO/0212005
Aleksy Schubert
2008
On the Building of Affine Retractions
Mathematical Structures in Computer Science
18
4
753–793
10.1017/S096012950800683X
Sergei Soloviev
1983
The Category of Finite Sets and Cartesian Closed Categories
Journal of Soviet Mathematics
22
3
1387–1400
10.1007/BF01084396
English translation of the original paper in Russian published in Zapiski Nauchnykh Seminarov LOMI, v.105, 1981
Sergei Soloviev
1993
A Complete Axiom System for Isomorphism of Types in Closed Categories
Andrei Voronkov
LPAR'93
LNCS
698
Springer
360–371
10.1007/3-540-56944-8_71
Zdzislaw Splawski
Pawel Urzyczyn
1999
Type Fixpoints: Iteration vs. Recursion
Didier Rémi
Peter Lee
ICFP '99
ACM Press
102–113
10.1145/317636.317789
Colin Stirling
2013
Proof Systems for Retracts in Simply Typed Lambda Calculus
Fedor V. Fomin
Rusins Freivalds
Marta Z. Kwiatkowska
David Peleg
ICALP'13
LNCS
7966
Springer
398–409
10.1007/978-3-642-39212-2_36
Pawel Urzyczyn
1999
The Emptiness Problem for Intersection Types
The Journal of Symbolic Logic
64
3
1195–1215
10.2307/2586625
Pawel Urzyczyn
2009
Inhabitation of Low-Rank Intersection Types
Pierre-Louis Curien
TLCA
LNCS
5608
Springer
356–370
10.1007/978-3-642-02273-9_26