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Transition pattern
1.1
- Enriched axioms on transition class, revised properties, added annotations for ODP submission
1.0
- Created by Aldo Gangemi
1.1 added rdfs:isDefinedBy for all named entities
A simple pattern to represent transitions between states.
Aldo Gangemi
Region,Sequence,Time indexed participation
SELECT ?is ?e ?fs ?p ?o ?t1 ?t2 ?t3
WHERE {
?x :includesInitialSituation ?is .
?x :includeFinalSituation ?fs .
?x :includeEvent ?e .
?x :includesProcess ?p .
?x :includesObject ?o .
?x :atTimeInitial ?t1 .
?x :atTimeEvent ?t2 .
?x :atTimeFinal ?t3 .
?is :occursAt ?t1 .
?e :occursAt ?t2 .
?fs :occursAt ?t3 .
?t1 :precedes ?t2 .
?t2 :precedes ?t3 }
The addition of Bud Powell on piano made the tune jump from a static, aerial comping into a hard driving swing improvisation
To represent basic knowledge about transitions (events, states, processes, objects).
We are able to represent part of the semantics involved in transitions (e.g. what is implied by Petri Nets): initial and final states, causal events, underlying processes, affected objects, and sequences of time intervals for situations and events.
However, it is not possible to define axioms for automatically infer initial and final states from time sequences, because coreference is not allowed in OWL (not even in OWL2).
What states of some object are changed by what event during a transition?,What is the process that is invariant through the transition?,What transitions are occurring on what object at what time?
atTimeEvent
The time of the event causing the transition.
atTimeFinal
The time of the final state of the transition.
atTimeInitial
The time of the initial state in the transition.
includesFinalSituation
A relation between a transition situation and the situation resulting from the transition.
includesInitialSituation
A relation between a transition situation and the situation existing before the transition event.
includesProcess
A relation between a transition situation and the underlying process that is invariant for the object(s) included in the transition.
isFinalSituationIncludedIn
A relation between a transition situation and the situation resulting from the transition.
isInitialSituationIncludedIn
A relation between a transition situation and the situation existing before the transition event.
is initial state time index for
isProcessIncludedIn
A relation between a transition situation and the underlying process that is invariant for the object(s) included in the transition.
isTimeOf
occursAt
In this pattern, it is the cause for the transition.
In this pattern, it is the entity that is invariant through the Process underlying the transition, but is also changed by the Event that causes the transition.
Process
The invariance under some different transitions (including the one represented here), in which at least one Object is situated.
Transition
Transizione
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A transition is a Situation that creates a context for three TimeInterval(s), two additional different Situation(s), one Event, one Process, and at least one Object: the Event is observed as the cause for the transition, one Situation is the state before the transition, the second Situation is the state after the transition, the Process is the invariance under some different transitions (including the one represented here), in which at least one Object is situated. Finally, the time intervals position the situations and the transitional event in time.
This class of situations partly encodes the ontology underlying typical engineering algebras for processes, e.g. Petri Nets.
A full representation of the transition ontology is outside the expressivity of OWL, because we would need qualified cardinality restrictions, coreference, property equivalence, and property composition.
In this pattern, it is the entity that is invariant across the Process underlying the transition, but is also changed from an initial to a final state by an Event.