메뉴 건너뛰기




Volumn 347, Issue 3, 2005, Pages 498-512

A representation theorem for Boolean contact algebras

Author keywords

Boolean contact algebras; Qualitative spatial reasoning; Region connection calculus; Topological representation

Indexed keywords

ARTIFICIAL INTELLIGENCE; THEOREM PROVING; TOPOLOGY;

EID: 27744600741     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2005.06.030     Document Type: Article
Times cited : (87)

References (32)
  • 2
    • 0002160371 scopus 로고
    • On the theory of groups as depending on the symbolic equation θ1
    • A. Cayley On the theory of groups as depending on the symbolic equation θ n = 1 Philos. Magazine 7 1854 40 47
    • (1854) Philos. Magazine , vol.7 , pp. 40-47
    • Cayley, A.1
  • 3
    • 84972508690 scopus 로고
    • A calculus of individuals based on 'connection'
    • B.L. Clarke A calculus of individuals based on 'connection' Notre Dame J. Formal Logic 22 1981 204 218
    • (1981) Notre Dame J. Formal Logic , vol.22 , pp. 204-218
    • Clarke, B.L.1
  • 4
    • 0003084712 scopus 로고    scopus 로고
    • Representing and reasoning with qualitative spatial relations about regions
    • O. Stock Kluwer Dordrecht
    • A.G. Cohn, B. Bennett, J. Gooday, and N.M. Gotts Representing and reasoning with qualitative spatial relations about regions O. Stock Spatial and Temporal Reasoning 1997 Kluwer Dordrecht 97 134
    • (1997) Spatial and Temporal Reasoning , pp. 97-134
    • Cohn, A.G.1    Bennett, B.2    Gooday, J.3    Gotts, N.M.4
  • 5
    • 0001408921 scopus 로고
    • Point, line and surface as sets of solids
    • T. de Laguna Point, line and surface as sets of solids J. Philos. 19 1922 449 461
    • (1922) J. Philos. , vol.19 , pp. 449-461
    • De Laguna, T.1
  • 6
    • 27744457529 scopus 로고    scopus 로고
    • Region-based theory of discrete spaces: A proximity approach
    • M. Nadif A. Napoli E. SanJuan A. Sigayret Metz France
    • I. Düntsch, and D. Vakarelov Region-based theory of discrete spaces: a proximity approach M. Nadif A. Napoli E. SanJuan A. Sigayret Proc. Fourth Internat. Conf. Journées de l'informatique Messine 2003 Metz France 123 129
    • (2003) Proc. Fourth Internat. Conf. Journées de l'Informatique Messine , pp. 123-129
    • Düntsch, I.1    Vakarelov, D.2
  • 7
    • 0034898728 scopus 로고    scopus 로고
    • A relation algebraic approach to the region connection calculus
    • I. Düntsch, H. Wang, and S. McCloskey A relation algebraic approach to the region connection calculus Theoret. Comput. Sci. 255 2001 63 83
    • (2001) Theoret. Comput. Sci. , vol.255 , pp. 63-83
    • Düntsch, I.1    Wang, H.2    McCloskey, S.3
  • 8
    • 10644269893 scopus 로고    scopus 로고
    • Construction of Boolean contact algebras
    • I. Düntsch, and M. Winter Construction of Boolean contact algebras AI Comm. 13 2004 235 246
    • (2004) AI Comm. , vol.13 , pp. 235-246
    • Düntsch, I.1    Winter, M.2
  • 10
    • 84957643028 scopus 로고    scopus 로고
    • The mereotopology of discrete space
    • C. Freksa, D.M. Mark, (Eds.), Spatial Information Theory Lecture Notes in Computer Science, Springer, Berlin
    • A. Galton, The mereotopology of discrete space, in: C. Freksa, D.M. Mark, (Eds.), Spatial Information Theory, Proc. Internat. Conf. COSIT '99, Lecture Notes in Computer Science, Springer, Berlin, 1999, pp. 251-266.
    • (1999) Proc. Internat. Conf. COSIT '99 , pp. 251-266
    • Galton, A.1
  • 11
    • 0002139836 scopus 로고
    • General theory of boolean algebras
    • North Holland, Amsterdem
    • S. Koppelberg, General Theory of Boolean Algebras, Vol. 1, Handbook on Boolean Algebras, North Holland, Amsterdem,1989.
    • (1989) Handbook on Boolean Algebras , vol.1
    • Koppelberg, S.1
  • 12
    • 0002884661 scopus 로고
    • The calculus of individuals and its uses
    • H.S. Leonard, and N. Goodman The calculus of individuals and its uses J. Symbolic Logic 5 1940 45 55
    • (1940) J. Symbolic Logic , vol.5 , pp. 45-55
    • Leonard, H.S.1    Goodman, N.2
  • 13
    • 0003085318 scopus 로고
    • O podstawach ogolnej teoryi mnogosci. I
    • S. Leśniewski O podstawach ogolnej teoryi mnogosci. I Przeglad Filozoficzny 31 1928 261 291
    • (1928) Przeglad Filozoficzny , vol.31 , pp. 261-291
    • Leśniewski, S.1
  • 14
    • 0002474469 scopus 로고
    • On the foundation of mathematics
    • S. Leśniewski On the foundation of mathematics Topoi 2 1983 7 52
    • (1983) Topoi , vol.2 , pp. 7-52
    • Leśniewski, S.1
  • 16
    • 0037382408 scopus 로고    scopus 로고
    • Region connection calculus: Its models and composition table
    • S. Li, and M. Ying Region connection calculus: its models and composition table Artificial Intelligence 145 2003 121 145
    • (2003) Artificial Intelligence , vol.145 , pp. 121-145
    • Li, S.1    Ying, M.2
  • 17
    • 0012940829 scopus 로고    scopus 로고
    • Continuous lattices and Whiteheadian theory of space
    • T. Mormann Continuous lattices and Whiteheadian theory of space Logic Logical Philosophy 6 1998 35 54
    • (1998) Logic Logical Philosophy , vol.6 , pp. 35-54
    • Mormann, T.1
  • 20
    • 27744586214 scopus 로고
    • Doctoral thesis, Sorbonne, Paris, 1924, English translation in Geometry and Induction, Routledge and Kegan Paul, London
    • J. Nicod, Geometry in a sensible world, Doctoral thesis, Sorbonne, Paris, 1924, English translation in Geometry and Induction, Routledge and Kegan Paul, London, 1969.
    • (1969) Geometry in a Sensible World
    • Nicod, J.1
  • 21
    • 54649085007 scopus 로고    scopus 로고
    • A complete axiom system for polygonal mereotopology of the real plane
    • I. Pratt, and D. Schoop A complete axiom system for polygonal mereotopology of the real plane J. Philos. Logic 27 6 1998 621 661
    • (1998) J. Philos. Logic , vol.27 , Issue.6 , pp. 621-661
    • Pratt, I.1    Schoop, D.2
  • 22
    • 0034403164 scopus 로고    scopus 로고
    • Expressivity in polygonal, plane mereotopology
    • I. Pratt, and D. Schoop Expressivity in polygonal, plane mereotopology J. Symbolic Logic 65 2000 822 838
    • (2000) J. Symbolic Logic , vol.65 , pp. 822-838
    • Pratt, I.1    Schoop, D.2
  • 23
    • 85011043422 scopus 로고
    • Computing transitivity tables: A challenge for automated theorem provers
    • D. Kapur (Ed.), Proc. 11th Internat. Conf. on Automated Deduction (CADE-11) Saratoga Springs, NY, Springer
    • D.A. Randell, A.G. Cohn, Z. Cui, Computing transitivity tables: a challenge for automated theorem provers, in: D. Kapur (Ed.), Proc. 11th Internat. Conf. on Automated Deduction (CADE-11), Lecture Notes in Artificial Inteligences, Vol. 607, Saratoga Springs, NY, Springer, 1992, pp. 786-790.
    • (1992) Lecture Notes in Artificial Inteligences , vol.607 , pp. 786-790
    • Randell, D.A.1    Cohn, A.G.2    Cui, Z.3
  • 24
    • 0012995835 scopus 로고    scopus 로고
    • Region based topology
    • P. Roeper Region based topology J. Philos. Logic 26 1997 251 309
    • (1997) J. Philos. Logic , vol.26 , pp. 251-309
    • Roeper, P.1
  • 25
    • 0037582112 scopus 로고
    • Real-valued functions and spaces close to normal
    • E. Shchepin Real-valued functions and spaces close to normal Siberian Math. J. 13 1972 820 830
    • (1972) Siberian Math. J. , vol.13 , pp. 820-830
    • Shchepin, E.1
  • 27
    • 0034270992 scopus 로고    scopus 로고
    • Boolean connection algebras: A new approach to the region connection calculus
    • J. Stell Boolean connection algebras: a new approach to the region connection calculus Artificial Intelligence 122 2000 111 136
    • (2000) Artificial Intelligence , vol.122 , pp. 111-136
    • Stell, J.1
  • 28
    • 84968486072 scopus 로고
    • The theory of representations for Boolean algebras
    • M. Stone The theory of representations for Boolean algebras Trans. Amer. Math. Soc. 40 1936 37 111
    • (1936) Trans. Amer. Math. Soc. , vol.40 , pp. 37-111
    • Stone, M.1
  • 29
    • 0040091454 scopus 로고
    • Foundation of the geometry of solids
    • J.H. Woodger Clarendon Press Oxford
    • A. Tarski Foundation of the geometry of solids J.H. Woodger Logic, Semantics, Metamathematics 1956 Clarendon Press Oxford 24 29 Translation of the summary of an address given by A. Tarski to the First Polish Mathematical Congress, Lwów, 1927
    • (1956) Logic, Semantics, Metamathematics , pp. 24-29
    • Tarski, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.