Temporal reasoning based on semi-intervals
Artificial Intelligence
Embedding time granularity in a logical specification language for synchronous real-time systems
6IWSSD Selected Papers of the Sixth International Workshop on Software Specification and Design
Maintaining knowledge about temporal intervals
Communications of the ACM
Qualitative Representation of Spatial Knowledge
Qualitative Representation of Spatial Knowledge
Reasoning about Gradual Changes of Topological Relationships
Proceedings of the International Conference GIS - From Space to Territory: Theories and Methods of Spatio-Temporal Reasoning on Theories and Methods of Spatio-Temporal Reasoning in Geographic Space
Using Orientation Information for Qualitative Spatial Reasoning
Proceedings of the International Conference GIS - From Space to Territory: Theories and Methods of Spatio-Temporal Reasoning on Theories and Methods of Spatio-Temporal Reasoning in Geographic Space
A general framework for time granularity and its application to temporal reasoning
Annals of Mathematics and Artificial Intelligence
Approximate Qualitative Temporal Reasoning
Annals of Mathematics and Artificial Intelligence
Annals of Mathematics and Artificial Intelligence
Imprecision in Finite Resolution Spatial Data
Geoinformatica
Temporal Granularity Enlightened by Knowledge
NLDB '00 Proceedings of the 5th International Conference on Applications of Natural Language to Information Systems-Revised Papers
COSIT '99 Proceedings of the International Conference on Spatial Information Theory: Cognitive and Computational Foundations of Geographic Information Science
Temporalized logics and automata for time granularity
Theory and Practice of Logic Programming
A modular approach to user-defined symbolic periodicities
Data & Knowledge Engineering
Formal and conceptual modeling of spatio-temporal granularities
IDEAS '09 Proceedings of the 2009 International Database Engineering & Applications Symposium
IJCAI'99 Proceedings of the 16th international joint conference on Artificial intelligence - Volume 2
Chronoscopes: a theory of underspecified temporal representations
Proceedings of the 2005 international conference on Annotating, extracting and reasoning about time and events
Granular description of qualitative change
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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Any phenomenon can be seen under a more or less precise granularity, depending on the kind of details which are perceivable. This can be applied to time and space. A characteristic of abstract spaces such as the one used for representing time is their granularity independence, i.e. the fact that they have the same structure under different granularities. So, time "places" and their relationships can be seen under different granularities and they still behave like time places and relationships under each granularity. However, they do not remain exactly the same time places and relationships. Here is presented a pair of operators for converting (upward and downward) qualitative time relationships from one granularity to another. These operators are the only ones to satisfy a set of six constraints which characterize granularity changes. They are also shown to be useful for spatial relationships.