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Volumn 4, Issue 1, 2003, Pages 120-147

A complete characterization of complete intersection-type preorders

Author keywords

Completeness; Intersection types; Lambda calculus; Lambda models

Indexed keywords

COMPLETENESS; INTERSECTION TYPES; LAMBDA CALCULUS; LAMBDA MODELS;

EID: 3042818025     PISSN: 15293785     EISSN: None     Source Type: Journal    
DOI: 10.1145/601775.601780     Document Type: Article
Times cited : (18)

References (34)
  • 1
    • 19144373216 scopus 로고
    • Domain theory in logical form
    • ABRAMSKY, S. 1991. Domain theory in logical form. Ann. Pure Appl. Logic 51, 1-2, 1-77.
    • (1991) Ann. Pure Appl. Logic , vol.51 , Issue.1-2 , pp. 1-77
    • Abramsky, S.1
  • 2
    • 0000451579 scopus 로고
    • Full abstraction in the lazy lambda calculus
    • ABRAMSKY, S. AND ONG, C.-H. L. 1993. Full abstraction in the lazy lambda calculus. Inform. Computat. 105, 2, 159-267.
    • (1993) Inform. Computat. , vol.105 , Issue.2 , pp. 159-267
    • Abramsky, S.1    Ong, C.-H.L.2
  • 4
    • 0000807910 scopus 로고
    • A filter lambda model and the completeness of type assignment
    • BARENDREGT, H., COPPO, M., AND DEZANI-CIANCAGLINI, M. 1983. A filter lambda model and the completeness of type assignment. J. Symbolic Logic 48, 4, 931-940.
    • (1983) J. Symbolic Logic , vol.48 , Issue.4 , pp. 931-940
    • Barendregt, H.1    Coppo, M.2    Dezani-Ciancaglini, M.3
  • 6
    • 0004069359 scopus 로고    scopus 로고
    • From computation to foundations via functions and application: The λ-calculus and its webbed models
    • BERLINE, C. 2000. From computation to foundations via functions and application: The λ-calculus and its webbed models. Theoret. Comput. Sci. 249, 81-161.
    • (2000) Theoret. Comput. Sci. , vol.249 , pp. 81-161
    • Berline, C.1
  • 7
    • 84972495850 scopus 로고
    • An extension of the basic functionality theory for the λ-calculus
    • COPPO, M. AND DEZANI-CIANCAGLINI, M. 1980. An extension of the basic functionality theory for the λ-calculus. Notre Dame J. Formal Logic 21, 4, 685-693.
    • (1980) Notre Dame J. Formal Logic , vol.21 , Issue.4 , pp. 685-693
    • Coppo, M.1    Dezani-Ciancaglini, M.2
  • 8
    • 77956960632 scopus 로고
    • Extended type structures and filter lambda models
    • G. Lolli, G. Longo, and A. Marcja, Eds. North-Holland, Amsterdam, The Netherlands
    • COPPO, M., DEZANI-CIANCAGLINI, M., HONSELL, F., AND LONGO, G. 1984. Extended type structures and filter lambda models. In Logic Colloquium '82, G. Lolli, G. Longo, and A. Marcja, Eds. North-Holland, Amsterdam, The Netherlands, 241-262.
    • (1984) Logic Colloquium '82 , pp. 241-262
    • Coppo, M.1    Dezani-Ciancaglini, M.2    Honsell, F.3    Longo, G.4
  • 11
    • 0004178274 scopus 로고    scopus 로고
    • A complete characterization of the complete intersection-type theories
    • J. Rolim, A. Broder, A. Corradini, R. Gorrieri, R. Heckel, J. Hromkovic, U. Vaccaro, and J. Wells, Eds. ITRS'00 Workshop, Carleton-Scientific, Waterloo, Ont., Canada
    • DEZANI-CIANCAGLINI, M., HONSELL, F., AND ALESSI, F. 2000. A complete characterization of the complete intersection-type theories. In Proceedings in Informatics, J. Rolim, A. Broder, A. Corradini, R. Gorrieri, R. Heckel, J. Hromkovic, U. Vaccaro, and J. Wells, Eds. ITRS'00 Workshop, vol. 8. Carleton-Scientific, Waterloo, Ont., Canada, 287-301.
    • (2000) Proceedings in Informatics , vol.8 , pp. 287-301
    • Dezani-Ciancaglini, M.1    Honsell, F.2    Alessi, F.3
  • 12
    • 0041345649 scopus 로고
    • A characterization of F-complete type assignments
    • DEZANI-CIANCAGLINI, M. AND MARGARIA, I. 1986. A characterization of F-complete type assignments. Theoret. Comput. Sci. 45, 2, 121-157.
    • (1986) Theoret. Comput. Sci. , vol.45 , Issue.2 , pp. 121-157
    • Dezani-Ciancaglini, M.1    Margaria, I.2
  • 13
    • 0001293890 scopus 로고
    • Operational, denotational and logical descriptions: A case study
    • EGIDI, L., HONSELL, F., AND RONCHI DELLA ROCCA, S. 1992. Operational, denotational and logical descriptions: A case study. Fund. Inform. 16, 2, 149-169.
    • (1992) Fund. Inform. , vol.16 , Issue.2 , pp. 149-169
    • Egidi, L.1    Honsell, F.2    Ronchi Della Rocca, S.3
  • 14
    • 51249186281 scopus 로고
    • Algebras and combinators
    • ENGELER, E. 1981. Algebras and combinators. Algebra Universalis 13, 3, 389-392.
    • (1981) Algebra Universalis , vol.13 , Issue.3 , pp. 389-392
    • Engeler, E.1
  • 16
    • 0020255109 scopus 로고
    • The simple semantics for Coppo-Dezani-Sallé types
    • M. Dezani-Ciancaglini and U. Montanari, Eds. Lecture Notes in Computer Science, Springer, Berlin, Germany
    • HINDLEY, J. R. 1982. The simple semantics for Coppo-Dezani-Sallé types. In International Symposium on Programming, M. Dezani-Ciancaglini and U. Montanari, Eds. Lecture Notes in Computer Science, vol. 137. Springer, Berlin, Germany, 212-226.
    • (1982) International Symposium on Programming , vol.137 , pp. 212-226
    • Hindley, J.R.1
  • 17
    • 0006945043 scopus 로고
    • The completeness theorem for typing λ-terms
    • HINDLEY, J. R. 1983a. The completeness theorem for typing λ-terms. Theoret. Comput. Sci. 22, 1-17.
    • (1983) Theoret. Comput. Sci. , vol.22 , pp. 1-17
    • Hindley, J.R.1
  • 18
    • 0006903162 scopus 로고
    • Curry's type-rules are complete with respect to F-semantics too
    • HINDLEY, J. R. 1983b. Curry's type-rules are complete with respect to F-semantics too. Theoret. Comput. Sci. 22, 127-133.
    • (1983) Theoret. Comput. Sci. , vol.22 , pp. 127-133
    • Hindley, J.R.1
  • 19
    • 84982656456 scopus 로고
    • Lambda-calculus models and extensionality
    • HINDLEY, J. R. AND LONGO, G. 1980. Lambda-calculus models and extensionality. Z. Math. Logik Grundlag. Math. 26, 4, 289-310.
    • (1980) Z. Math. Logik Grundlag. Math. , vol.26 , Issue.4 , pp. 289-310
    • Hindley, J.R.1    Longo, G.2
  • 20
    • 0003086621 scopus 로고    scopus 로고
    • Semantical analysis of perpetual strategies in λ-calculus
    • HONSELL, F. AND LENISA, M. 1999. Semantical analysis of perpetual strategies in λ-calculus. Theoret. Comput. Sci. 212, 1-2, 183-209.
    • (1999) Theoret. Comput. Sci. , vol.212 , Issue.1-2 , pp. 183-209
    • Honsell, F.1    Lenisa, M.2
  • 21
    • 0026902023 scopus 로고
    • An approximation theorem for topological lambda models and the topological incompleteness of lambda calculus
    • HONSELL, F. AND RONCHI DELLA ROCCA, S. 1992. An approximation theorem for topological lambda models and the topological incompleteness of lambda calculus. J. Comput. System Sci. 45, 1, 49-75.
    • (1992) J. Comput. System Sci. , vol.45 , Issue.1 , pp. 49-75
    • Honsell, F.1    Ronchi Della Rocca, S.2
  • 22
    • 0023965762 scopus 로고
    • Polymorphic type inference and containment
    • MITCHELL, J. 1988. Polymorphic type inference and containment. Inform. Computat. 76, 2-3, 211-249.
    • (1988) Inform. Computat. , vol.76 , Issue.2-3 , pp. 211-249
    • Mitchell, J.1
  • 23
    • 0004330912 scopus 로고
    • The Y-combinator in Scott's λ-calculus models (revised version)
    • Department of Computer Science, University of Warwick, Coventry, U.K
    • PARK, D. 1976. The Y-combinator in Scott's λ-calculus models (revised version). Theory of Computation Report 13, Department of Computer Science, University of Warwick, Coventry, U.K.
    • (1976) Theory of Computation Report , vol.13
    • Park, D.1
  • 24
    • 18944377121 scopus 로고
    • Call-by-name, call-by-value and the λ-calculus
    • PLOTKIN, G. D. 1975. Call-by-name, call-by-value and the λ-calculus. Theoret. Comput. Sci. 1, 2, 125-159.
    • (1975) Theoret. Comput. Sci. , vol.1 , Issue.2 , pp. 125-159
    • Plotkin, G.D.1
  • 25
    • 0027910780 scopus 로고
    • Set-theoretical and other elementary models of the λ-calculus
    • PLOTKIN, G. D. 1993. Set-theoretical and other elementary models of the λ-calculus. Theoret. Comput. Sci. 121, 1-2, 351-409.
    • (1993) Theoret. Comput. Sci. , vol.121 , Issue.1-2 , pp. 351-409
    • Plotkin, G.D.1
  • 26
    • 0002596609 scopus 로고
    • A type assignment for the strongly normalizable λ-terms
    • J. Hindley and J. Seldin, Eds. Academic Press, London, U.K
    • POTTINGER, G. 1980. A type assignment for the strongly normalizable λ-terms. In To H. B. Curry: Essays on Combinatory Logic, Lambda Calculus and Formalism, J. Hindley and J. Seldin, Eds. Academic Press, London, U.K., 561-577.
    • (1980) To H. B. Curry: Essays on Combinatory Logic, Lambda Calculus and Formalism , pp. 561-577
    • Pottinger, G.1
  • 27
    • 0001995203 scopus 로고
    • Continuous lattices
    • F. Lawvere, Ed. Lecture Notes in Mathematics, Springer, Berlin, Germany
    • SCOTT, D. 1972. Continuous lattices. In Toposes, Algebraic Geometry and Logic, F. Lawvere, Ed. Lecture Notes in Mathematics, vol. 274. Springer, Berlin, Germany, 97-136.
    • (1972) Toposes, Algebraic Geometry and Logic , vol.274 , pp. 97-136
    • Scott, D.1
  • 28
    • 0004177933 scopus 로고
    • Open problem
    • C. Böhm, Ed. Lecture Notes in Computer Science, Springer, Berlin, Germany
    • SCOTT, D. 1975. Open problem. In Lambda Calculus and Computer Science Theory, C. Böhm, Ed. Lecture Notes in Computer Science, vol. 37. Springer, Berlin, Germany, 369.
    • (1975) Lambda Calculus and Computer Science Theory , vol.37 , pp. 369
    • Scott, D.1
  • 29
    • 0000889413 scopus 로고
    • Data types as lattices
    • SCOTT, D. 1976. Data types as lattices. SIAM J. Comput. 5, 3, 522-587.
    • (1976) SIAM J. Comput. , vol.5 , Issue.3 , pp. 522-587
    • Scott, D.1
  • 30
    • 33750710624 scopus 로고
    • Lambda calculus: Some models, some philosophy
    • J. Barwise, H. J. Keisler, and K. Kunen, Eds. North-Holland, Amsterdam, The Netherlands
    • SCOTT, D. 1980a. Lambda calculus: Some models, some philosophy. In The Kleene Symposium, J. Barwise, H. J. Keisler, and K. Kunen, Eds. North-Holland, Amsterdam, The Netherlands, 223-265.
    • (1980) The Kleene Symposium , pp. 223-265
    • Scott, D.1
  • 31
    • 0347578871 scopus 로고
    • Carnegie Mellon University, Pittsburgh, PA
    • SCOTT, D. S. 1980b. Letter to Albert Meyer. Carnegie Mellon University, Pittsburgh, PA.
    • (1980) Letter to Albert Meyer
    • Scott, D.S.1
  • 32
    • 0000415462 scopus 로고
    • Complete restrictions of the intersection type discipline
    • VAN BAKEL, S. 1992. Complete restrictions of the intersection type discipline. Theoret. Comput. Sci. 102, 1, 135-163.
    • (1992) Theoret. Comput. Sci. , vol.102 , Issue.1 , pp. 135-163
    • Van Bakel, S.1
  • 33
    • 0003923505 scopus 로고
    • Cambridge University Press, Cambridge
    • VICKERS, S. 1989. Topology Via Logic. Cambridge University Press, Cambridge.
    • (1989) Topology Via Logic
    • Vickers, S.1
  • 34
    • 0028446708 scopus 로고
    • F-semantics for type assignment systems
    • YOKOUCHI, H. 1994. F-semantics for type assignment systems. Theoret. Comput. Sci. 129, 1, 39-77.
    • (1994) Theoret. Comput. Sci. , vol.129 , Issue.1 , pp. 39-77
    • Yokouchi, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.