Representing and Reasoning with Qualitative Spatial Relations About Regions

Qualitative Reasoning (QR) has now become a mature subfield of AI as its tenth annual international workshop, several books (e.g. (Weld and de Kleer, 1990; Faltings and Struss, 1992)) and a wealth of conference and journal publications testify. QR tries to make explicit our everyday commonsense knowledge about the physical world and also the underlying abstractions used by scientists and engineers when they create models. Given this kind of knowledge and appropriate reasoning methods, a computer could make predictions and diagnoses and explain the behavior of physical systems in a qualitative manner, even when a precise quantitative description is not available or is computationally intractable. Note that a representation is not normally deemed to be qualitative by the QR community simply because it is symbolic and utilizes discrete quantity spaces but because the distinctions made in these discretizations are relevant to high-level descriptions of the system or behavior being modeled.

[1]  Anthony G. Cohn,et al.  Calculi for Qualitative Spatial Reasoning , 1996, AISMC.

[2]  Brandon Bennett,et al.  Spatial Reasoning with Propositional Logics , 1994, KR.

[3]  Brandon Bennett,et al.  Modal Logics for Qualitative Spatial Reasoning , 1996, Log. J. IGPL.

[4]  Amitabha Mukerjee,et al.  A Qualitative Model for Space , 1990, AAAI.

[5]  Patrick J. Hayes,et al.  Naive physics I: ontology for liquids , 1989 .

[6]  A. Grzegorczyk Undecidability of Some Topological Theories , 1951 .

[7]  D. Randell,et al.  Exploiting lattices in a theory of space and time , 1992 .

[8]  Antony Galton,et al.  A Critical Examination of Allen's Theory of Action and Time , 1990, Artif. Intell..

[9]  Christian Freksa,et al.  Temporal Reasoning Based on Semi-Intervals , 1992, Artif. Intell..

[10]  A. Tarski What is Elementary Geometry , 1959 .

[11]  Anthony G. Cohn,et al.  Modelling Topological and Metrical Properties in Physical Processes , 1989, KR.

[12]  Christian Freksa,et al.  Qualitative spatial reasoning , 1990, Forschungsberichte, TU Munich.

[13]  Peter B. Ladkin,et al.  Time Representation: A Taxonomy of Internal Relations , 1986, AAAI.

[14]  Barry Smith Ontology and the logistic analysis of reality , 1993 .

[15]  Max J. Egenhofer,et al.  Reasoning about Binary Topological Relations , 1991, SSD.

[16]  P. Simons Parts: A Study in Ontology , 1991 .

[17]  B. L. Clark Individuals and points. , 1985 .

[18]  MAX J. EGENHOFER,et al.  Point Set Topological Relations , 1991, Int. J. Geogr. Inf. Sci..

[19]  Bowman L. Clarke,et al.  A calculus of individuals based on "connection" , 1981, Notre Dame J. Formal Log..

[20]  Max J. Egenhofer,et al.  On the Equivalence of Topological Relations , 1995, Int. J. Geogr. Inf. Sci..

[21]  Charles Elkan,et al.  The paradoxical success of fuzzy logic , 1993, IEEE Expert.

[22]  Patrick J. Hayes,et al.  The second naive physics manifesto , 1995 .

[23]  Nelson Goodman,et al.  The calculus of individuals and its uses , 1940, Journal of Symbolic Logic.

[24]  James F. Allen Maintaining knowledge about temporal intervals , 1983, CACM.

[25]  Jack Sklansky,et al.  Measuring Concavity on a Rectangular Mosaic , 1972, IEEE Transactions on Computers.

[26]  Antony Galton Taking Dimension Seriously in Qualitative Spatial Reasoning , 1996, ECAI.