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Volumn 41, Issue 1, 2006, Pages 206-217

Fast and loose reasoning is morally correct

Author keywords

Equational reasoning; Inductive and coinductive types; Lifted types; Non strict and strict languages; Partial and infinite values; Partial and total languages

Indexed keywords

EQUATIONAL REASONING; INDUCTIVE AND COINDUCTIVE TYPES; LIFTED TYPES; NON-STRICT AND STRICT LANGUAGES; PARTIAL AND INFINITE VALUES; PARTIAL AND TOTAL LANGUAGES;

EID: 33745207806     PISSN: 03621340     EISSN: 03621340     Source Type: Journal    
DOI: 10.1145/1111320.1111056     Document Type: Article
Times cited : (23)

References (31)
  • 1
    • 23844441246 scopus 로고    scopus 로고
    • Containers: Constructing strictly positive types
    • [AAG05]
    • [AAG05] Michael Abbott, Thorsten Altenkirch, and Neil Ghani. Containers: Constructing strictly positive types. Theoretical Computer Science, 342(1):3-27, 2005.
    • (2005) Theoretical Computer Science , vol.342 , Issue.1 , pp. 3-27
    • Abbott, M.1    Altenkirch, T.2    Ghani, N.3
  • 2
    • 0010071182 scopus 로고
    • The strength of Martin-Löf's intuitionistic type theory with one universe
    • [Acz77] University of Helsinki, Department of Philosophy
    • [Acz77] Peter Aczel. The strength of Martin-Löf's intuitionistic type theory with one universe. In Proceedings of Symposia in Mathematical Logic, Oulu, 1974, and Helsinki, 1975, pages 1-32, University of Helsinki, Department of Philosophy, 1977.
    • (1977) Proceedings of Symposia in Mathematical Logic, Oulu, 1974, and Helsinki, 1975 , pp. 1-32
    • Aczel, P.1
  • 3
    • 33745187486 scopus 로고
    • Cpo's do not form a cpo and yet recursion works
    • [BB91] VDM '91, Springer-Verlag
    • [BB91] Marek A. Bednarczyk and Andrzej M. Borzyszkowski. Cpo's do not form a cpo and yet recursion works. In VDM '91, volume 551 of LNCS, pages 268-278. Springer-Verlag, 1991.
    • (1991) LNCS , vol.551 , pp. 268-278
    • Bednarczyk, M.A.1    Borzyszkowski, A.M.2
  • 6
    • 0001401013 scopus 로고
    • Recursive models for constructive set theories
    • [Bee82]
    • [Bee82] M. Beeson. Recursive models for constructive set theories. Annals of Mathematical Logic, 23:127-178, 1982.
    • (1982) Annals of Mathematical Logic , vol.23 , pp. 127-178
    • Beeson, M.1
  • 7
    • 33745833838 scopus 로고
    • [B1187] MetaSoft Primer, Towards a Metalanguage for Applied Denotational Semantics, Springer-Verlag
    • [B1187] Andrzej Blikle. MetaSoft Primer, Towards a Metalanguage for Applied Denotational Semantics, volume 288 of LNCS. Springer-Verlag, 1987.
    • (1987) LNCS. , vol.288
    • Blikle, A.1
  • 8
    • 0020922476 scopus 로고
    • Naive denotational semantics
    • [BT83] North-Holland
    • [BT83] Andrzej Blikle and Andrzej Tarlecki. Naive denotational semantics. In Information Processing 83, pages 345-355. North-Holland, 1983.
    • (1983) Information Processing , vol.83 , pp. 345-355
    • Blikle, A.1    Tarlecki, A.2
  • 9
    • 84858892896 scopus 로고    scopus 로고
    • [Dan05]
    • [Dan05] Nils Anders Danielsson. Personal web page, available at http://www.cs.chalmers.se/nad/, 2005.
    • (2005)
    • Danielsson, N.A.1
  • 11
    • 32144436471 scopus 로고    scopus 로고
    • Chasing bottoms, a case study in program verification in the presence of partial and infinite values
    • [DJ04] MPC 2004, Springer-Verlag
    • [DJ04] Nils Anders Danielsson and Patrik Jansson. Chasing bottoms, a case study in program verification in the presence of partial and infinite values. In MPC 2004, volume 3125 of LNCS, pages 85-109. Springer-Verlag, 2004.
    • (2004) LNCS , vol.3125 , pp. 85-109
    • Danielsson, N.A.1    Jansson, P.2
  • 12
    • 84858910623 scopus 로고
    • Program verification in a logical theory of constructions
    • [Dyb85] FPCA'85. Springer-Verlag
    • [Dyb85] Peter Dybjer. Program verification in a logical theory of constructions. In FPCA'85, volume 201 of LNCS, pages 334-349. Springer-Verlag, 1985.
    • (1985) LNCS , vol.201 , pp. 334-349
    • Dybjer, P.1
  • 13
    • 84858893250 scopus 로고
    • Appears in revised University of Göteborg and Chalmers University of Technology
    • Appears in revised form as Programming Methodology Group Report 26, University of Göteborg and Chalmers University of Technology, 1986.
    • (1986) Programming Methodology Group Report , vol.26
  • 14
    • 0031118216 scopus 로고    scopus 로고
    • Representing inductively defined sets by wellorderings in Martin-Löfs type theory
    • [Dyb97]
    • [Dyb97] Peter Dybjer. Representing inductively defined sets by wellorderings in Martin-Löfs type theory. Theoretical Computer Science, 176:329-335, 1997.
    • (1997) Theoretical Computer Science , vol.176 , pp. 329-335
    • Dybjer, P.1
  • 15
    • 17144404454 scopus 로고
    • Program calculation properties of continuous algebras
    • [FM91] Centre for Mathematics and Computer Science, Amsterdam, The Netherlands
    • [FM91] Maarten M Fokkinga and Erik Meijer. Program calculation properties of continuous algebras. Technical Report CS-R9104, Centre for Mathematics and Computer Science, Amsterdam, The Netherlands, 1991.
    • (1991) Technical Report , vol.CS-R9104
    • Fokkinga, M.M.1    Meijer, E.2
  • 16
    • 0001981633 scopus 로고
    • Equality between functionals
    • [Fri75] number 453 in Lecture Notes in Mathematics. Springer
    • [Fri75] Harvey Friedman. Equality between functionals. In Logic Colloquium: Symposium on Logic held at Boston, 1972-73, number 453 in Lecture Notes in Mathematics, pages 22-37. Springer, 1975.
    • (1975) Logic Colloquium: Symposium on Logic Held at Boston, 1972-73 , pp. 22-37
    • Friedman, H.1
  • 17
    • 0023533596 scopus 로고
    • An intensional characterization of the largest bisimulation
    • [Hal87]
    • [Hal87] Lars Hallnäs. An intensional characterization of the largest bisimulation. Theoretical Computer Science, 53(2-3):335-343, 1987.
    • (1987) Theoretical Computer Science , vol.53 , Issue.2-3 , pp. 335-343
    • Hallnäs, L.1
  • 18
    • 0035882587 scopus 로고    scopus 로고
    • The generic approximation lemma
    • [HG01]
    • [HG01] Graham Hutton and Jeremy Gibbons. The generic approximation lemma. Information Processing Letters, 79(4):197-201, 2001.
    • (2001) Information Processing Letters , vol.79 , Issue.4 , pp. 197-201
    • Hutton, G.1    Gibbons, J.2
  • 19
    • 0025703077 scopus 로고
    • A note on inconsistencies caused by fixpoints in a cartesian closed category
    • [HP90]
    • [HP90] Hagen Huwig and Axel Poigne. A note on inconsistencies caused by fixpoints in a cartesian closed category. Theoretical Computer Science, 73(1):101-112, 1990.
    • (1990) Theoretical Computer Science , vol.73 , Issue.1 , pp. 101-112
    • Huwig, H.1    Poigne, A.2
  • 20
    • 33745199046 scopus 로고
    • Algorithms from theorems
    • [Jeu90] North-Holland
    • [Jeu90] J. Jeuring. Algorithms from theorems. In Programming Concepts and Methods, pages 247-266. North-Holland, 1990.
    • (1990) Programming Concepts and Methods , pp. 247-266
    • Jeuring, J.1
  • 21
    • 2442615040 scopus 로고    scopus 로고
    • Free theorems in the presence of seq
    • [JV04] ACM Press
    • [JV04] Patricia Johann and Janis Voigtländer. Free theorems in the presence of seq. In POPL'04, pages 99-110. ACM Press, 2004.
    • (2004) POPL'04 , pp. 99-110
    • Johann, P.1    Voigtländer, J.2
  • 22
    • 85014115727 scopus 로고
    • Functional programming with bananas, lenses, envelopes and barbed wire
    • [MFP91] FPCA '91, Springer-Verlag
    • [MFP91] E. Meijer, M. Fokkinga, and R. Paterson. Functional programming with bananas, lenses, envelopes and barbed wire. In FPCA '91, volume 523 of LNCS, pages 124-144. Springer-Verlag, 1991.
    • (1991) LNCS , vol.523 , pp. 124-144
    • Meijer, E.1    Fokkinga, M.2    Paterson, R.3
  • 25
    • 33745202737 scopus 로고    scopus 로고
    • Ordered sets and complete lattices, a primer for computer science
    • [Pri02] Algebraic and Coalgebraic Methods in the Mathematics of Program Construction, chapter 2. Springer-Verlag
    • [Pri02] Hilary A. Priestley. Ordered sets and complete lattices, a primer for computer science. In Algebraic and Coalgebraic Methods in the Mathematics of Program Construction, volume 2297 of LNCS, chapter 2, pages 21-78. Springer-Verlag, 2002.
    • (2002) LNCS , vol.2297 , pp. 21-78
    • Priestley, H.A.1
  • 26
    • 0020919435 scopus 로고
    • Types, abstraction and parametric polymorphism
    • [Rey83] Elsevier
    • [Rey83] John C. Reynolds. Types, abstraction and parametric polymorphism. In Information Processing 83, pages 513-523. Elsevier, 1983.
    • (1983) Information Processing , vol.83 , pp. 513-523
    • Reynolds, J.C.1
  • 27
    • 84972537572 scopus 로고
    • Polymorphism is not settheoretic
    • [Rey84] Semantics of Data Types, Springer-Verlag
    • [Rey84] John C. Reynolds. Polymorphism is not settheoretic. In Semantics of Data Types, volume 173 of LNCS, pages 145-156. Springer-Verlag, 1984.
    • (1984) LNCS , vol.173 , pp. 145-156
    • Reynolds, J.C.1
  • 28
    • 0000889413 scopus 로고
    • Data types as lattices
    • [Sco76]
    • [Sco76] Dana Scott. Data types as lattices. SIAM Journal of Computing, 5(3):522-587, 1976.
    • (1976) SIAM Journal of Computing , vol.5 , Issue.3 , pp. 522-587
    • Scott, D.1
  • 29
    • 0348170591 scopus 로고
    • An interpretation of Martin-Löf's type theory in a type-free theory of propositions
    • [Smi84]
    • [Smi84] Jan Smith. An interpretation of Martin-Löf's type theory in a type-free theory of propositions. Journal of Symbolic Logic, 49(3):730-753, 1984.
    • (1984) Journal of Symbolic Logic , vol.49 , Issue.3 , pp. 730-753
    • Smith, J.1
  • 30
    • 84949511823 scopus 로고    scopus 로고
    • Elementary strong functional programming
    • [Tur96] FPLE'95, Springer-Verlag
    • [Tur96] David Turner. Elementary strong functional programming. In FPLE'95, volume 1022 of LNCS, pages 1-13. Springer-Verlag, 1996.
    • (1996) LNCS , vol.1022 , pp. 1-13
    • Turner, D.1
  • 31
    • 84944106308 scopus 로고
    • Theorems for free!
    • [Wad89] ACM Press
    • [Wad89] Philip Wadler. Theorems for free! In FPCA '89, pages 347-359. ACM Press, 1989.
    • (1989) FPCA '89 , pp. 347-359
    • Wadler, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.