--- a/model/ProvenanceModel.html Thu Dec 08 11:59:46 2011 +0000
+++ b/model/ProvenanceModel.html Thu Dec 08 15:27:17 2011 +0000
@@ -2822,22 +2822,19 @@
</div>
-<p>The relationship <span class="name">wasInformedBy</span> is not transitive. Indeed, consider the records <span class="name">wasInformedBy(a2,a1)</span> and <span class="name">wasInformedBy(a3,a2)</span>, the record
-<span class="name">wasInformedBy(a3,a1)</span>, may not necessarily hold, as illustrated by the following event line.
-<pre>
- ------ a1
- |
- e1
- |
- ------- a2
- |
- e2
- |
- ----- a3
+<p>The relationship <span class="name">wasInformedBy</span> is not transitive. Indeed, consider the following records.</p>
+<pre class="codeexample">
+wasInformedBy(a2,a1)
+wasInformedBy(a3,a2)
</pre>
-<p>The end in activity record identified by <span class="name">a3</span> <a>precedes</a> the start in activity record identified by <span class="name">a1</span>, while interval for activity record <span class="name">a2</span> overlaps with each interval for <span class="name">a1</span> and <span class="name">a3</span>, allowing information to flow (<span class="name">e1</span> and <span class="name">e2</span>, respectively).</p>
-
-
+<p> We cannot infer <span class="name">wasInformedBy(a3,a1)</span> from them. Indeed,
+from
+<span class="name">wasInformedBy(a2,a1)</span>, we know that there exists <span class="name">e1</span> such that <span class="name">e1</span> was generated by <span class="name">a1</span> and used by <span class="name">a2</span>. Likewise, from <span class="name">wasInformedBy(a3,a2)</span>, we know that there exists <span class="name">e2</span> such that <span class="name">e2</span> was generated by <span class="name">a2</span> and used by <span class="name">a3</span>. The following illustration shows a case where transitivity cannot hold. The horizontal axis represents time. We see that <span class="name">e1</span> was generated after <span class="name">e2</span> was used. Furthermore, the illustration also shows that <span class="name">a3</span> completes before <span class="name">a1</span>. So it is impossible for <span class="name">a3</span> to have used an entity generated by <span class="name">a1</span>.</p>
+
+
+<div align="center">
+<img src="informedByNonTransitive.png" alt="non transitivity of wasInformedBy" />
+</div>
<div class="note">
The relation wasScheduledAfter was dropped, and replaced by a simplier relation wasStartedBy(a2,a1). It is intentional that the name wasStartedBy is overloaded.
@@ -3264,6 +3261,7 @@
<section class="appendix">
<h2>Changes Since First Public Working Draft</h2>
<ul>
+<li>12/08/11: Explained non-transitivity of wasInformedBy. </li>
<li>12/05/11: Made attributes optional, and used non-terminal optional-attribute-values. </li>
<li>12/05/11: Changed syntax of recordContainer to be more user friendly, and removed list of account ids, since redundant. </li>
<li>12/05/11: Changed syntax of namespace declaration to be more user friendly. </li>
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
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