메뉴 건너뛰기




Volumn 177, Issue 1, 1997, Pages 111-138

Continuity spaces: Reconciling domains and metric spaces

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER PROGRAMMING; COMPUTER PROGRAMMING LANGUAGES; FORMAL LOGIC; PROGRAMMING THEORY;

EID: 0031125836     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(97)00236-3     Document Type: Article
Times cited : (69)

References (35)
  • 1
    • 84972211604 scopus 로고
    • Quantales, observational logic and process semantics
    • S. Abramsky and S. Vickers, Quantales, observational logic and process semantics, Math. Struct. Comput. Sci. 3 (1993) 161-227.
    • (1993) Math. Struct. Comput. Sci. , vol.3 , pp. 161-227
    • Abramsky, S.1    Vickers, S.2
  • 2
    • 0000339283 scopus 로고
    • Solving reflexive domain equations in a category of complete metric spaces
    • P. America and J.J.M.M. Rutten, Solving reflexive domain equations in a category of complete metric spaces, J. Comput. System. Sci. 39(3) (1989) 343-375.
    • (1989) J. Comput. System. Sci. , vol.39 , Issue.3 , pp. 343-375
    • America, P.1    Rutten, J.J.M.M.2
  • 3
    • 0020150574 scopus 로고
    • Processes and the denotational semantics of concurrency
    • J. deBakker and J. Zucker, Processes and the denotational semantics of concurrency, Inform. and Control 54 (1982) 70-120.
    • (1982) Inform. and Control , vol.54 , pp. 70-120
    • DeBakker, J.1    Zucker, J.2
  • 5
    • 0010757282 scopus 로고
    • Completeness in continuity spaces
    • R.A.G. Seely, ed., AMS, Providence, RI
    • R.C. Flagg, Completeness in continuity spaces, in: R.A.G. Seely, ed., Category Theory 1991 (AMS, Providence, RI, 1992) 183-199.
    • (1992) Category Theory 1991 , pp. 183-199
    • Flagg, R.C.1
  • 6
    • 85033133289 scopus 로고    scopus 로고
    • Quantales and continuity spaces
    • to appear
    • R.C. Flagg, Quantales and continuity spaces, Algebra Universalis, to appear.
    • Algebra Universalis
    • Flagg, R.C.1
  • 7
    • 0011968993 scopus 로고
    • Fixed points and reflexive domain equations in categories of continuity spaces
    • MFPS 11
    • R.C. Flagg and R. Kopperman, Fixed points and reflexive domain equations in categories of continuity spaces, MFPS 11, Electronic Notes in Theoretical Computer Science, Vol. I, 1995.
    • (1995) Electronic Notes in Theoretical Computer Science , vol.1
    • Flagg, R.C.1    Kopperman, R.2
  • 12
    • 0000492493 scopus 로고
    • A general theory of structure spaces with applications to spaces of prime ideals
    • M. Henriksen and R. Kopperman, A general theory of structure spaces with applications to spaces of prime ideals, Algebra Universalis 28 (1991) 349-376.
    • (1991) Algebra Universalis , vol.28 , pp. 349-376
    • Henriksen, M.1    Kopperman, R.2
  • 13
    • 0004072372 scopus 로고
    • Cambridge Univ. Press, Cambridge
    • P.T. Johnstone, Stone Spaces (Cambridge Univ. Press, Cambridge, 1982).
    • (1982) Stone Spaces
    • Johnstone, P.T.1
  • 14
    • 0347243032 scopus 로고
    • Real-valued models with metric equality and uniformly continuous predicates
    • M. Katz, Real-valued models with metric equality and uniformly continuous predicates, J. Symbolic Logic 47 (1983) 772-792.
    • (1983) J. Symbolic Logic , vol.47 , pp. 772-792
    • Katz, M.1
  • 15
    • 0003050091 scopus 로고
    • All topologies come from generalized metrics
    • R. Kopperman, All topologies come from generalized metrics, Amer. Math. Monthly 95 (1988) 89-97.
    • (1988) Amer. Math. Monthly , vol.95 , pp. 89-97
    • Kopperman, R.1
  • 16
    • 0002345511 scopus 로고
    • Asymmetry and duality in topology
    • R. Kopperman, Asymmetry and duality in topology, Topology Appl. 66 (1995) 1-39.
    • (1995) Topology Appl. , vol.66 , pp. 1-39
    • Kopperman, R.1
  • 17
    • 0019572941 scopus 로고
    • Semantics of probabilistic programs
    • D. Kozen, Semantics of probabilistic programs, J. Comput. System Sci. 22 (1981) 328-350.
    • (1981) J. Comput. System Sci. , vol.22 , pp. 328-350
    • Kozen, D.1
  • 18
    • 84976109344 scopus 로고
    • Sobrification and bicompletion of totally bounded quasi-uniform spaces
    • H.P.A. Künzi and G.C.L. Brümmer, Sobrification and bicompletion of totally bounded quasi-uniform spaces, Math. Proc. Cambridge Philos. Soc. 101 (1987) 237-247.
    • (1987) Math. Proc. Cambridge Philos. Soc. , vol.101 , pp. 237-247
    • Künzi, H.P.A.1    Brümmer, G.C.L.2
  • 20
    • 27844512844 scopus 로고
    • Metric spaces, generalized logic, and closed categories
    • F.W. Lawvere, Metric spaces, generalized logic, and closed categories, Rend. Sem. Mat. Fis. Milano 43 (1973) 135-166.
    • (1973) Rend. Sem. Mat. Fis. Milano , vol.43 , pp. 135-166
    • Lawvere, F.W.1
  • 21
    • 0026188821 scopus 로고
    • Notions of computation and monads
    • E. Moggi, Notions of computation and monads, Inform. Comput. 93 (1991) 55-92.
    • (1991) Inform. Comput. , vol.93 , pp. 55-92
    • Moggi, E.1
  • 22
    • 0347243033 scopus 로고
    • Evaluation logic
    • G. Birtwistle, ed., Mathematical Foundations of Programming Semantics, Springer, Berlin
    • A.M. Pitts, Evaluation logic, in: G. Birtwistle, ed., Mathematical Foundations of Programming Semantics, Lecture Notes in Computer Science (Springer, Berlin, 1992).
    • (1992) Lecture Notes in Computer Science
    • Pitts, A.M.1
  • 24
    • 84968467392 scopus 로고
    • Completely distributive lattices
    • G.N. Raney, Completely distributive lattices, Proc. Amer. Math. Soc. 3 (1952) 677-680.
    • (1952) Proc. Amer. Math. Soc. , vol.3 , pp. 677-680
    • Raney, G.N.1
  • 25
    • 0002123920 scopus 로고
    • CPO's of measures for nondeterminism
    • N. Saheb-Djahromi, CPO's of measures for nondeterminism, Theoret. Comput. Sci. 12 (1980) 19-37.
    • (1980) Theoret. Comput. Sci. , vol.12 , pp. 19-37
    • Saheb-Djahromi, N.1
  • 28
    • 0001921746 scopus 로고
    • Towards a mathematical semantics for computer languages
    • Polytechnic Institute of Brooklyn Press, New York
    • D.S. Scott and C. Strachey, Towards a mathematical semantics for computer languages, in: Proc. Symp. on Computers and Automata (Polytechnic Institute of Brooklyn Press, New York, 1971) 19-46.
    • (1971) Proc. Symp. on Computers and Automata , pp. 19-46
    • Scott, D.S.1    Strachey, C.2
  • 29
    • 0038291038 scopus 로고
    • A metric for weak convergence of distribution functions
    • D.A. Sibley, A metric for weak convergence of distribution functions, Rocky Mountain J. Math. 1 (1971) 427-430.
    • (1971) Rocky Mountain J. Math. , vol.1 , pp. 427-430
    • Sibley, D.A.1
  • 30
    • 85034837164 scopus 로고
    • Quasi-uniformities: Reconciling domains with metric spaces
    • 3rd Workshop on Mathematical Foundations of Programming Language Semantics, Springer, Berlin
    • M.B. Smyth, Quasi-uniformities: reconciling domains with metric spaces, in: 3rd Workshop on Mathematical Foundations of Programming Language Semantics, Lecture Notes in Computer Science, Vol. 298 (Springer, Berlin, 1987).
    • (1987) Lecture Notes in Computer Science , vol.298
    • Smyth, M.B.1
  • 31
    • 0001818543 scopus 로고
    • Totally bounded spaces and compact ordered spaces as domains of computation
    • J.G.M. Reed, A.W. Roscoe and R.F. Wachter, eds., Oxford Univ. Press, Oxford
    • M.B. Smyth, Totally bounded spaces and compact ordered spaces as domains of computation, in: J.G.M. Reed, A.W. Roscoe and R.F. Wachter, Topology and Category Theory in Computer Science eds., (Oxford Univ. Press, Oxford, 1991) 207-229.
    • (1991) Topology and Category Theory in Computer Science , pp. 207-229
    • Smyth, M.B.1
  • 32
    • 84963041991 scopus 로고
    • Stable local compactification I
    • M.B. Smyth, Stable local compactification I, J. London Math. Soc. 45 (1992) 321-340.
    • (1992) J. London Math. Soc. , vol.45 , pp. 321-340
    • Smyth, M.B.1
  • 33
    • 0007429122 scopus 로고
    • Constructing a quasi-uniform function space
    • P. Sünderhauf, Constructing a quasi-uniform function space, Topology Appl. 67 (1995) 1-27.
    • (1995) Topology Appl. , vol.67 , pp. 1-27
    • Sünderhauf, P.1
  • 35
    • 0347243031 scopus 로고
    • Domains arising as algebras for powerspace constructions
    • A. Schalk, Domains arising as algebras for powerspace constructions, J. Pure Appl. Algebra (1993).
    • (1993) J. Pure Appl. Algebra
    • Schalk, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.