Handbook of Spatial Logics 2007
DOI: 10.1007/978-1-4020-5587-4_9
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Spatial Logic + Temporal Logic = ?

Abstract: IntroductionAs follows from the title of this chapter, our primary aim is to analyse possible solutions to the equationwhere the items on the left-hand side are some standard spatial and temporal logics, and + is some 'operator' combining these two logics into a single one. The question we are concerned with is how the computational complexity and the expressive power of the component logics are related to the complexity and expressiveness of the resulting spatio-temporal logic x under various combination oper… Show more

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Cited by 52 publications
(40 citation statements)
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References 63 publications
(64 reference statements)
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“…For the spatial reasoning we focus on topological spatial modeling and inference. Combining spatial and temporal logics is not something new- Kontchakov et al (2007) provide a lengthy overview of different techniques that have been employed to combine the two. However, the application of these techniques to the domain of stream reasoning requires a different approach, which is what is presented in this thesis.…”
Section: Spatio-temporal Stream Reasoningmentioning
confidence: 99%
See 1 more Smart Citation
“…For the spatial reasoning we focus on topological spatial modeling and inference. Combining spatial and temporal logics is not something new- Kontchakov et al (2007) provide a lengthy overview of different techniques that have been employed to combine the two. However, the application of these techniques to the domain of stream reasoning requires a different approach, which is what is presented in this thesis.…”
Section: Spatio-temporal Stream Reasoningmentioning
confidence: 99%
“…A survey of other approaches that combine spatial and temporal reasoning techniques is provided by Kontchakov et al (2007).…”
mentioning
confidence: 99%
“…For example, we dare to represent a learning task declaratively by saying that a start configuration (e.g., can on desk) should be changed to obtain some desired end configuration (e.g., can in dustbin). Sequences of such statements are also called snapshot-based spatio-temporal models [11]. In its generality, the question of combining a qualitative spatial representation with a temporal representation is tackled in the contemporary field of spatial logics [11] which comprises several demanding research questions.…”
Section: Qualitative Representation Of Manipulation Tasks With Qualitmentioning
confidence: 99%
“…Sequences of such statements are also called snapshot-based spatio-temporal models [11]. In its generality, the question of combining a qualitative spatial representation with a temporal representation is tackled in the contemporary field of spatial logics [11] which comprises several demanding research questions. As our approach does not depend on specific reasoning properties, we opt for a straightforward combination of linear temporal logic (LTL) with a qualitative spatial representation.…”
Section: Qualitative Representation Of Manipulation Tasks With Qualitmentioning
confidence: 99%
“…Proving preservation results constitute a theoretical challenge and, in many cases, they are obtained only by imposing conditions on the original logics. It is interesting to observe that combination mechanisms start to play an essential role in contemporary applications, like argumentation theory, spatial and temporal reasoning and information security [14,6,15]. In some of these topics, the logical context has to be set-up appropriately.…”
Section: Introductionmentioning
confidence: 99%