A tutorial on relation algebras and their application in spatial reasoning
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[1] C. Siegel. Vorlesungen über die Algebra der Logik , 1907 .
[2] T. D. Laguna. Point, Line, and Surface, as Sets of Solids , 1922 .
[3] A. Tarski,et al. Zur Grundlegung der Boole'schen Algebra. I , 1935 .
[4] Alfred Tarski,et al. Relational selves as self-affirmational resources , 2008 .
[5] R. Lyndon. THE REPRESENTATION OF RELATIONAL ALGEBRAS , 1950 .
[6] A. Tarski,et al. Boolean Algebras with Operators , 1952 .
[7] A. Tarski. Contributions to the theory of models. III , 1954 .
[8] Bjarni Jónsson,et al. Representation of modular lattices and of relation algebras , 1959 .
[9] R. C. Lyndon. Relation algebras and projective geometries. , 1961 .
[10] Saul A. Kripke,et al. Semantical Analysis of Modal Logic I Normal Modal Propositional Calculi , 1963 .
[11] D. Monk. On representable relation algebras. , 1964 .
[12] R. McKenzie. Representations of integral relation algebras. , 1970 .
[13] G. Grätzer,et al. Lattice Theory: First Concepts and Distributive Lattices , 1971 .
[14] Bowman L. Clarke,et al. A calculus of individuals based on "connection" , 1981, Notre Dame J. Formal Log..
[15] B. Jónsson. Varieties of relation algebras , 1982 .
[16] R. Maddux. Some varieties containing relation algebras , 1982 .
[17] James F. Allen. Maintaining knowledge about temporal intervals , 1983, CACM.
[18] B. Jonsson. Maximal algebras of binary relations , 1984 .
[19] A. Tarski,et al. What are logical notions , 1986 .
[20] Tinko Tinchev,et al. Modal Environment for Boolean Speculations , 1987 .
[21] A. Tarski,et al. A Formalization Of Set Theory Without Variables , 1987 .
[22] I. Németi,et al. Decidability of relation algebras with weakened associativity , 1987 .
[23] E. Orlowska. Relational interpretation of modal logics , 1988 .
[24] A. Tarski,et al. Cylindric Algebras. Part II , 1988 .
[25] Roger D. Maddux,et al. The origin of relation algebras in the development and axiomatization of the calculus of relations , 1991, Stud Logica.
[26] István Németi,et al. Algebraization of quantifier logics, an introductory overview , 1991, Stud Logica.
[27] Vaughan R. Pratt,et al. Dynamic algebras: Examples, constructions, applications , 1991, Stud Logica.
[28] Ivo Düntsch. Small integral relation algebras generated by a partial order , 1991 .
[29] Ivo Düntsch,et al. A nonpermutational integral relation algebra. , 1992 .
[30] Anthony G. Cohn,et al. Computing Transivity Tables: A Challenge For Automated Theorem Provers , 1992, CADE.
[31] Terence R. Smith,et al. Algebraic approach to spatial reasoning , 1992, Int. J. Geogr. Inf. Sci..
[32] Vaughan R. Pratt,et al. On the Syllogism: IV; and on the Logic of Relations , 2022 .
[33] M. Egenhofer,et al. Assessing the Consistency of Complete and Incomplete Topological Information , 1993 .
[34] Roger D. Maddux,et al. Representations for Small Relation Algebras , 1994, Notre Dame J. Formal Log..
[35] Max J. Egenhofer,et al. Deriving the Composition of Binary Topological Relations , 1994, J. Vis. Lang. Comput..
[36] Peter B. Ladkin,et al. On binary constraint problems , 1994, JACM.
[37] Anthony G. Cohn,et al. The EGG/YOLK reliability hierarchy: semantic data integration using sorts with prototypes , 1994, CIKM '94.
[38] Hajnal Andréka,et al. The lattice of varieties of representable relation algebras , 1994, Journal of Symbolic Logic.
[39] Brandon Bennett. Some Observations and Puzzles about Composing Spatial and Temporal Relations , 1994 .
[40] Ivo Düntsch,et al. Binary Relations and Permutation Groups , 1995, Math. Log. Q..
[41] Anthony G. Cohn,et al. The ‘Egg-Yolk’ Representation of Regions with Indeterminate Boundaries , 2020 .
[42] Ivo Düntsch,et al. Expressibility of properties of relations , 1995, Journal of Symbolic Logic.
[43] N. Gotts. An Axiomatic Approach to Topology For Spatial Information Systems , 1996 .
[44] Ewa Orlowska,et al. Relational Proof Systems for Modal Logics , 1996 .
[45] Achille C. Varzi. Parts, Wholes, and Part-Whole Relations: The Prospects of Mereotopology , 1996, Data Knowl. Eng..
[46] Robin Hirsch,et al. Expressive Power and Complexity in Algebraic Logic , 1997, J. Log. Comput..
[47] Anthony G. Cohn,et al. Representing and Reasoning with Qualitative Spatial Relations About Regions , 1997 .
[48] Hajnal Andréka,et al. Decision problems for equational theories of relation algebras , 1997, Memoirs of the American Mathematical Society.
[49] Michael F. Worboys,et al. Imprecision in Finite Resolution Spatial Data , 1998, GeoInformatica.
[50] M. Worboys. Computation with imprecise geospatial data , 1998 .
[51] M. Egenhofer. Categorizing Binary Topological Relations Between Regions, Lines, and Points in Geographic Databases , 1998 .
[52] Ivo Düntsch,et al. Relations Algebras in Qualitative Spatial Reasoning , 1999, Fundam. Informaticae.
[53] Ivo Düntsch,et al. Rough Set Data Analysis , 2000 .
[54] Ivo Düntsch,et al. A Proof System for Contact Relation Algebras , 2000, J. Philos. Log..
[55] Ian Pratt-Hartmann,et al. Expressivity in Polygonal, Plane Mereotopology , 2000, J. Symb. Log..
[56] Ivo Düntsch,et al. Beyond modalities: sufficiency and mixed algebras , 2001 .
[57] M. Egenhofer,et al. Point-Set Topological Spatial Relations , 2001 .
[58] Ivo Düntsch,et al. A relation - algebraic approach to the region connection calculus , 2001, Theor. Comput. Sci..
[59] Gunther Schmidt,et al. A Necessary Relation Algebra for Mereotopology , 2001, Stud Logica.