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Handbook of Temporal Reasoning in Artificial Intelligence,

This assortment represents the first reference paintings for researchers and scholars within the region of Temporal Reasoning in synthetic Intelligence. Temporal reasoning has an essential function to play in lots of parts, really synthetic Intelligence. but, previously, there was no unmarried quantity amassing jointly the breadth of labor during this quarter. This assortment brings jointly the top researchers in a number proper components and gives an coherent description of the breadth of task referring to temporal reasoning within the filed of man-made Intelligence.

Key Features:

- wide variety: foundations; options and applications
- major researchers all over the world have written the chapters
- Covers many important applications
- resource booklet for synthetic Intelligence, temporal reasoning
- ways supply beginning for plenty of destiny software program structures

· extensive variety: foundations; thoughts and applications
· major researchers world wide have written the chapters
· Covers many very important applications
· resource ebook for man made Intelligence, temporal reasoning
· techniques supply beginning for plenty of destiny software program structures

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Handbook of Temporal Reasoning in Artificial Intelligence, Volume 1

This assortment represents the first reference paintings for researchers and scholars within the quarter of Temporal Reasoning in synthetic Intelligence. Temporal reasoning has an essential position to play in lots of parts, relatively man made Intelligence. but, earlier, there was no unmarried quantity gathering jointly the breadth of labor during this sector.

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It cannot be modelled as a state of position because f holds on both pl and p2 which must contain the limiting instant i where f holds (v = 0). A state of motion cannot be used either because it cannot hold at isolated instants: we are not allowed to say that f is true at i. 7 7 2. While states of position are concatenable, states of motion are not always. It is rather counter-intuitive: it seems that states of position should not be concatenable since the parameter they represent may have a different value at the meeting point.

6. 7. (disjointness) At this point one may ask for how long can we go enumerating properties of temporal incidence. To answer this question, let us analyze the issue from a more general perspective. The above properties are particular cases of the following scheme ( f is a fluent and p denotes the collection of periods pl , . . ,p,) : If H o L D s ( ~ , and ~) f If H O L D S (f , p ) and f + f'then H o ~ ~ s ( f ' , p ' ) + f' then HOLDS(-f ' , p t ) 7 The scope of this chapter goes as far as showing that the most basic properties of this scheme are theorems of our theory.

It is not possible to handle this case in the present framework: this can only be done by introducing a separate category of terms to refer to individual occurrences. Although a number of authors have discussed repetitions of events, little systematic work has been done on this. Allen [Allen, 19841 suggests a definition of an event TWICE(E) which roughly corresponds to our Consec(E,2), although Allen's definition is faulty because the event thereby defined does not satisfy the principle UNI which he lays down as an axiom *Note that it is not necessary to include a further condition that Consec(E,k - 1) does not occur on any interval beginning in [m 1,p - 11 since this is implied by the non-occurrence of E in this interval.

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