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Volumn 315, Issue 1, 2004, Pages 135-149

The correspondence between partial metrics and semivaluations

Author keywords

(Weightable) Quasi metrics; Directed partial orders; Partial metrics; Valuations

Indexed keywords

FUNCTIONS; PROBABILISTIC LOGICS; SEMANTICS; SET THEORY; THEOREM PROVING; TOPOLOGY;

EID: 2042514962     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2003.11.016     Document Type: Conference Paper
Times cited : (96)

References (26)
  • 1
    • 0003356656 scopus 로고
    • Lattice Theory
    • Providence, RI: American Mathematical Society
    • Birkhoff G. Lattice Theory. AMS Colloquium Publications. Vol. 25:1984;American Mathematical Society, Providence, RI.
    • (1984) AMS Colloquium Publications , vol.25
    • Birkhoff, G.1
  • 2
    • 0008932222 scopus 로고    scopus 로고
    • Generalized metric spaces: Completion, topology, and powerdomains via the Yoneda embedding
    • Bonsangue M.M., van Breugel F., Rutten J.J.M.M. Generalized metric spaces. completion, topology, and powerdomains via the Yoneda embedding Theoret. Comp. Sci. 193:1998;1-51.
    • (1998) Theoret. Comp. Sci. , vol.193 , pp. 1-51
    • Bonsangue, M.M.1    Van Breugel, F.2    Rutten, J.J.M.M.3
  • 3
    • 84947923938 scopus 로고    scopus 로고
    • Towards computing distances between programs via Scott domains
    • S. Adian, & A. Nerode, Logical Foundations of Computer Science. Berlin: Springer
    • Bukatin M.A., Scott J.S. Towards computing distances between programs via Scott domains. Adian S., Nerode A. Logical Foundations of Computer Science. Lecture Notes in Computer Science. Vol. 1234:1997;33-43 Springer, Berlin.
    • (1997) Lecture Notes in Computer Science , vol.1234 , pp. 33-43
    • Bukatin, M.A.1    Scott, J.S.2
  • 4
    • 84947931879 scopus 로고    scopus 로고
    • Partial metrics and Co-continuous Valuations
    • M. Nivat, Foundations of Software Science and Computation Structures. Berlin: Springer
    • Bukatin M.A., Shorina S.Y. Partial metrics and Co-continuous Valuations. Nivat M. Foundations of Software Science and Computation Structures. Lecture Notes in Computer Science. Vol. 1378:1998;125-139 Springer, Berlin.
    • (1998) Lecture Notes in Computer Science , vol.1378 , pp. 125-139
    • Bukatin, M.A.1    Shorina, S.Y.2
  • 6
    • 0028115373 scopus 로고
    • Domain theory and integration
    • IEEE Computer Society Press, Silver Spring, MD
    • A. Edalat, Domain theory and integration, LICS'94, IEEE Computer Society Press, Silver Spring, MD, 1994.
    • (1994) LICS'94
    • Edalat, A.1
  • 10
    • 84974772479 scopus 로고
    • Lower bag domains
    • Heckmann R. Lower bag domains. Fund. Inform. 24(3):1995;259-281.
    • (1995) Fund. Inform. , vol.24 , Issue.3 , pp. 259-281
    • Heckmann, R.1
  • 11
    • 0037879732 scopus 로고    scopus 로고
    • Approximation of metric spaces by partial metric spaces
    • Heckmann R. Approximation of metric spaces by partial metric spaces. Appl. Categorical Struct. 7:1999;71-83.
    • (1999) Appl. Categorical Struct. , vol.7 , pp. 71-83
    • Heckmann, R.1
  • 13
    • 0024938825 scopus 로고    scopus 로고
    • A probabilistic powerdomain of evaluations
    • IEEE Computer Society Press, Silver Spring, MD
    • C. Jones, G. Plotkin, A probabilistic powerdomain of evaluations, in: LICS'89, IEEE Computer Society Press, Silver Spring, MD, 1998, pp. 186-195.
    • (1998) LICS'89 , pp. 186-195
    • Jones, C.1    Plotkin, G.2
  • 14
    • 0001466728 scopus 로고
    • Nonsymmetric topology
    • Bolyai Soc. Math. Stud.
    • H.P. Künzi, Nonsymmetric topology, in: Proc. Szekszárd Conf., Bolyai Soc. Math. Stud. 4 (1993) 303-338.
    • (1993) Proc. Szekszárd Conf. , vol.4 , pp. 303-338
    • Künzi, H.P.1
  • 15
    • 0028569087 scopus 로고
    • Weighted quasi-metrics
    • Proc. 8th Summer Conf. on General Topology and Applications
    • H.P. Künzi, V. Vajner, Weighted quasi-metrics, in: Proc. 8th Summer Conf. on General Topology and Applications; Ann. New York Acad. Sci. 728 (1994) 64-77.
    • (1994) Ann. New York Acad. Sci. , vol.728 , pp. 64-77
    • Künzi, H.P.1    Vajner, V.2
  • 16
    • 0028558872 scopus 로고
    • Partial metric topology
    • Proc. 8th Summer Conf. on General Topology and Applications
    • S.G. Matthews, Partial metric topology, in: Proc. 8th Summer Conf. on General Topology and Applications; Ann. New York Acad. Sci. 728 (1994) 183-197.
    • (1994) Ann. New York Acad. Sci. , vol.728 , pp. 183-197
    • Matthews, S.G.1
  • 17
    • 0029405908 scopus 로고
    • An extensional treatment of lazy data flow deadlock
    • Matthews S.G. An extensional treatment of lazy data flow deadlock. Theoret. Comput. Sci. 151:1995;195-205.
    • (1995) Theoret. Comput. Sci. , vol.151 , pp. 195-205
    • Matthews, S.G.1
  • 18
    • 0041392754 scopus 로고    scopus 로고
    • Partial metrics, valuations and domain theory
    • S. Andima et al. (Eds.), Proc. 11th Summer Conf. General Topology and Applications; New York
    • S.J. O'Neill, Partial metrics, valuations and domain theory, in: S. Andima, et al. (Eds.), Proc. 11th Summer Conf. General Topology and Applications; New York. Ann. New York Acad. Sci. 806 (1997) 304-315.
    • (1997) Ann. New York Acad. Sci. , vol.806 , pp. 304-315
    • O'Neill, S.J.1
  • 20
    • 0002656211 scopus 로고    scopus 로고
    • Quasi-metric properties of complexity spaces
    • Romaguera S., Schellekens M. Quasi-metric properties of complexity spaces. Topology Appl. 98:1999;311-322.
    • (1999) Topology Appl. , vol.98 , pp. 311-322
    • Romaguera, S.1    Schellekens, M.2
  • 21
    • 19144362927 scopus 로고
    • The Smyth completion: A common foundation for denotational semantics and complexity analysis
    • Elsevier, Amsterdam
    • M.P. Schellekens, The Smyth completion: a common foundation for denotational semantics and complexity analysis, in: Proc. MFPS 11, Electronic Notes in Theoretical Computer Science, Vol. I, Elsevier, Amsterdam, 1995, pp. 211-232.
    • (1995) Proc. MFPS 11, Electronic Notes in Theoretical Computer Science , vol.1 , pp. 211-232
    • Schellekens, M.P.1
  • 22
    • 3142587239 scopus 로고    scopus 로고
    • On upper weightable spaces
    • Proc. 11th Summer Conf. General Topology and Applications
    • M.P. Schellekens, On upper weightable spaces, in: Proc. 11th Summer Conf. General Topology and Applications; Ann. New York Acad. Sci. 806 (1996) 348-363.
    • (1996) Ann. New York Acad. Sci. , vol.806 , pp. 348-363
    • Schellekens, M.P.1
  • 23
    • 85034837164 scopus 로고
    • Quasi-uniformities: Reconciling Domains with Metric Spaces
    • Springer, Berlin
    • M.B. Smyth, Quasi-uniformities: Reconciling Domains with Metric Spaces, Lecture Notes in Computer Science, Vol. 298, Springer, Berlin, 1987, pp. 236-253.
    • (1987) Lecture Notes in Computer Science , vol.298 , pp. 236-253
    • Smyth, M.B.1
  • 24
    • 0001818543 scopus 로고
    • Totally bounded spaces and compact ordered spaces as domains of computation
    • G.M. Reed, A.W. Roscoe, & R.F. Wachter. Oxford: Oxford University Press
    • Smyth M.B. Totally bounded spaces and compact ordered spaces as domains of computation. Reed G.M., Roscoe A.W., Wachter R.F. Topology and Category Theory in Computer Science. 1991;207-229 Oxford University Press, Oxford.
    • (1991) Topology and Category Theory in Computer Science , pp. 207-229
    • Smyth, M.B.1
  • 25
    • 0001580337 scopus 로고
    • Uniform lattices I: A generalization of topological Riesz spaces and topological Boolean rings
    • Weber H. Uniform lattices I. a generalization of topological Riesz spaces and topological Boolean rings Ann. Mat. Pura Appl. 160:1991;347-370.
    • (1991) Ann. Mat. Pura Appl. , vol.160 , pp. 347-370
    • Weber, H.1
  • 26
    • 0012608693 scopus 로고
    • Uniform lattices II: Order continuity and exhaustivity
    • Weber H. Uniform lattices II. order continuity and exhaustivity Ann. Mat. Pura Appl. (IV). 165:1993;133-158.
    • (1993) Ann. Mat. Pura Appl. (IV) , vol.165 , pp. 133-158
    • Weber, H.1


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