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<title>Notes on Time Ontology</title>
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<p>Created in electronic form.</p>
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<docTitle>
<titlePart>Notes on Time Ontology</titlePart>
</docTitle>
<docAuthor>Anders Berglund</docAuthor>
<docAuthor>Andrew Eisenberg</docAuthor>
<docAuthor>Liam Quin</docAuthor>
<docAuthor>C. M. Sperberg-McQueen</docAuthor>

<docDate>17 April 2007, rev. 19 April 2007</docDate>
</titlePage>
</front>

<body>

<div>
<head>Introduction</head>
<p>This document contains comments on the document
<title>Time Ontology in OWL</title>, W3C Working Draft
27 September 2006, ed. Jerry R. Hobbs and Feng Pan
(<xref>http://www.w3.org/TR/2006/WD-owl-time-20060927/</xref>),
drafted on behalf of the XML Schema, XSL, and XML Query
Working Groups for eventual transmission as comments on 
the working draft.</p>
<p>These comments are from the point of view of readers interested in
time, calendars, their representation in electronic form, and the
useful manipulation of those representations, but not readers immersed
in RDF or OWL.  If the comments reflect some misunderstanding of some
details or of implications of the notation used in the document, it
may indicate that the document needs to explain its notation and
implications more clearly.</p>
<p>These comments have been drafted by the individuals named above
on behalf of the XML Schema, XSL, and XML Query Working Groups,
and have been approved by those Working Groups.</p>
</div>

<div>
<head>General</head>
<div>
<head>Goals</head>

<p>
The document appears to lack any description of its goals.
</p>
<p>
Armed only with the title, a reader might expect an effort to develop
a philosophically sound account of time, working from first principles
&mdash; perhaps a little discussion of Augustine's reflections on time
in the <title>Confessions</title>, maybe some Bergson, maybe some
Heidegger.  Or perhaps a more empiricist account, in which Carnap and
Popper might figure. Other readers may expect an attempt to give a
systematic, coherent, semantically meaningful account of date and time
information in daily life, something along the lines of an abstract
data type.  It is hard to imagine a single document satisfying both
sets of expectation.</p>
<p>The introduction of the document needs to set the reader's
expectations more clearly.</p>
<p>
The section on <title level="a">General issues</title> suggests that
one important goal is to provide a definition in OWL of date and time
information adequate for date and time data as commonly encountered on
the Web and in data processing more generally. But the document fails
to address a number of obvious and important questions. What
requirements must such a definition meet?  What possible or imaginable
requirements does it <emph>NOT</emph> need to meet?  Is it a goal to
be able to distinguish between well-formed and ill-formed date/time
descriptions? or a non-goal?  Is it a goal to provide well-formulated
accounts of all the essential operations on date/time data?  Or is
that to be left for later work? What must be done in order to provide
a useful semantic account of the classes you define? What is the
division of labor between this document (or more precisely: the
ontology defined here) and potential users of it?
</p>
<p>
In these comments, we assume that any formal ontology of time concepts 
will make itself useful by
<list type="bullets">

<item>identifying a core set of primitive notions</item>
<item>relating those notions informally to real-world information
    by means of natural-language descriptions, so as to enable
    an informed reader to understand what a class instance
    using only those primitive notions 'means', and to
    formulate an appropriate class instance to capture a given
    intended 'meaning'; it may or may not be a goal to make
    the meaning and rules of interpretation clear not only to
    humans who have read the documentation but also to 
    properly constructed software</item>
<item>identifying a set of derived notions which can be constructed
    from, and defined in terms of, the primitive notions</item>
<item>showing how to interpret the derived notions in terms of
    the primitive notions</item>
<item>showing how to distinguish well-formed instances of the class
    from ill-formed instances, or (depending on how things are
    formulated) how to distinguish members of the class from
    other things, or both.  That is, if some asks <q>what is the
    difference between an instance of class DateTimeDescription
    and this block of wood?</q> we expect the reader of the
    document to be able to find the
    answer.  </item>
<item>showing how to interpret / assign meaning to all
    well-formed instances of the class; it may or may not be a
    goal to avoid rules of interpretation that assign meanings
    to ill-formed instances</item>
</list>
Other goals may also be important; this list claims no
exclusivity.
</p>
<p>
We believe the document currently does not meet all of these
expectations and thus has opportunities for improvement.  If the items
listed above are not in fact goals, then the document should probably
identity them explicitly as non-goals, to avoid having the reader
believe in error that the authors tried to satisfy them but failed.
Readers might then cavil with the choice of goals for the work, but at
least then the authors and the reader can argue about the same thing.
</p>
</div>
<div>
<head>Engagement with earlier work</head>
<p>
There is a great deal of earlier work relevant to the topic of
this paper; without going at all far afield, we mention 
<list type="bullets">
<item>ISO 8601 <title>Representations of dates and times</title>, 
in the editions of 1988-06-15 and 2000-12-15, on which the 
date/time types of XML Schema are based</item>
<item>the document <title>Date and Time Formats</title>, by Misha Wolf 
and Charles Wickstead, submitted to W3C by Reuters in 1997 
(<xref>http://www.w3.org/TR/NOTE-datetime</xref>), which 
proposes a profile of ISO 8601</item>
<item>the date/time datatypes of XML Schema 1.0 
(<xref>http://www.w3.org/TR/xmlschema-1/</xref>)
and 1.1
(<xref>http://www.w3.org/TR/xmlschema11-2/</xref>);
these are mentioned in the document, but the document provides no
bibliographic reference to the relevant specifications</item>
<item>the library of functions and operators on date/time values
defined by <title>XQuery 1.0 and XPath 2.0 Functions and Operators</title>
(<xref>http://www.w3.org/TR/xpath-functions/</xref>)</item>
<item>the library of functions for formatting date and time
information provided in section 16.5 of XSLT 2.0
(<xref>http://www.w3.org/TR/2007/REC-xslt20-20070123/#format-date</xref>)</item>
</list>
The document should, we believe, refer to this related work.
</p>
<p>
More important, the document needs to <emph>engage</emph> with that
other relevant work.  The document's comments about the XML Schema
types do not seem to reflect any real understanding of those types,
their design, or the requirements of conventional information
processing systems.  And ISO 8601 has a great deal to teach anyone
interested in working with date and time information in practice. 
</p>
</div>
<div>
<head>Notation</head>

<p>Some readers of English may be unfamiliar with the notation used
to describe RDF graphs in this document; we recommend that a pointer
to documentation for the notation be provided, and that each 
expression in the formal notation be accompanied by an English
paraphrase of its meaning.  (This practice introduces a 
certain amount of redundancy, which is useful for people who
understand the formalism but don't read English well, or vice versa,
and makes it easier to find typos, errors, and discrepancies.)
</p>
<!--* <p>
N.B. some urge the opposite principle,
under slogans like <q>don't say anything more than once</q>.  They are
mistaken.  Saying things only once does reduce the chance of
contradiction, but it does not reduce the chance of error.  It only
makes the error harder to detect by anyone who does not already know
what the document was <emph>supposed</emph> to say.  
One sometimes hears the argument <q>if
you say things twice, and there is a discrepancy, no one will know
which description wins.</q>  This is like saying one's bank should abandon
the practice of triple-keying crucial information like account numbers
and amounts: when data are triple-keyed, discrepancies may arise,
and then the software doesn't know which account to
debit and which to credit.  Surely it would be better only to
single-key the data, so that there are never those sorts of
contradictions.
</p> *-->
</div>

<!--* <div>
<head>Design issue: control of redundancy</head>

<p>
Reduction, control, and sometimes elimination of redundancy are
important goals for database design &mdash; especially if the database is
to be dynamic.  But you're not writing a database, you're writing a
document.  The careful redundancy of saying in English what the N3
means, and saying in N3 what is essential in the English description,
will help discipline your document and make it more readable and more
useful.
</p>
<p>
- issues of design:
</p>
<p>
  . redundancy in fields; a good idea?
</p>
</div>
*-->

<div>
<head>Documentation</head>
<p>
<!--* 
In the definitions of various classes, I see what look like fields
in a data structure or record, or attributes in a relational table (or
an XML vocabulary); I'm not sure what to call them, but I see that the
document calls them properties/fields.
8-->
None of the fields appear to have any documentation saying what the
expected, well-formed, and/or semantically correct values of the field are,
or how the values relate to time concepts.
</p>
<p>
It's possible that we are simply missing something that anyone fluent in N3
would see at once.  If so, then you may have an editorial issue:
unless your intended readership consists only of people conversant in
N3, it would be useful to describe the contents of the N3 in English
as well as in N3.  If not, then you have another editorial issue: you
should probably explain why the fields have no documentation and
nothing to say what their values are expected to be.
</p>

<p>
Would 
<eg>
:meetingStartDescription
      a       :DateTimeDescription ;
      :unitType Typus ;
      :minute Minute ;
      :hour Stunde ;
      :day Tag ;
      :dayOfWeek Wochentag ;
      :dayOfYear Jahrestag ;
      :week Woche ;
      :month Monat ;
      :year Jahr .
</eg>
be a legitimate representation of a DateTimeDescription?  If not, why
not, and how should a reader of the Time Ontology document know?  If so, then what
is its interpretation: what instant in time does it describe?
</p>
</div>


<div><!--* 3.7 *-->
<head>
Possible ambiguity
</head>
<p>
This year, in Massachusetts, 
Nov. 4, 2007, 01:01 EDT will be followed by 
Nov. 4, 2007, 01:00 EST, which will be followed by 
Nov. 4, 2007, 01:01 EST. The following value appears to be ambiguous: 
<eg>
:example 
   a DateTimeDescription; 
   :unitType unitMinute; 
   :minute 1; 
   :hour 1; 
   :day 4; 
   :month 11; 
   :year 2007; 
   :timeZone EST. 
</eg>
</p>
<p>
Given that <q>EST</q> appears to denote the geographic time zone,
and not in itself the offset from UTC, this appears to denote two
distinct moments, one on winter time and one in summer time.
</p>
</div>

<div>
<head>Which calendar?</head>
<p><!--* 4p1 *-->
The document doesn't seem to describe anywhere how to specify what calendar 
is in use in a particular DateTime description.  Can it be inferred from
this that all correct DateTime descriptions use the same calendar?
</p>
<p>If so, then which calendar do they use?
Some indications suggest that the proleptic Gregorian calendar is used
(for example, the parallel between the <code>xsdDateTime</code> and
<code>inXSDDateTime</code> relations, which have <code>xsd:dateTime</code>
as their ranges, and the other relations with 
DateTime descriptions as their ranges).
But the document goes on
to say <q>Someone doing a genealogical search may
want to specify that the birthdate of a person is between 15 and 45
years before a known marriage date</q>, for which the XML Schema datatype
isn't directly usable.
</p>
</div>
<div>
<head>Which time? Leap seconds?</head>
<p>Which system of time is used in dateTime descriptions? UTC, UT1, UT0,
mean solar time, actual solar time, international
atomic time, ephemerides time, ... ?</p>
<p>Does it vary between descriptions?  If so, where does a description
inform the user which system of time is in use?  If not, where does the
ontology tell the user which system is to be used to interpret
dateTime descriptions?</p>
<p>If UTC is intended, then what policy is adopted by the ontology
regarding leap seconds?  Are they included?  excluded?  If included, then
how can valid descriptions for times in the future be distinguished from
meaningless constructs which denote no point or interval in time?</p>
<p>The XML Schema specification answers these questions for the dateTime
type, but nothing in the ontology says explicitly that those answers
apply to dateTime descriptions.</p>
</div>

<!--*
<div>
<head>Gaps in documentation</head>

<p>
- specific issues of interpretation:
  . what calendar is to be used, or is it free?
  . if free, how do i know which calendar is in use?
  . what time system is to be used?
  . if UTC, what is done about leap seconds?
</p>
</div>

<div>
<head>Problems</head>

<p>
- documentation, with resulting uncertainties
</p>
<p>
- interoperability, owing to missing documentation
</p>
<p>
- uncheckability, owing to lack of validity conditions
</p>
<p>
- redundancy
</p>
<p>
- inaccuracy in examples (week number)
</p>
<p>
- alignment with other specs (ISO 8601, XML Schema)
</p>
<p>
- depth of functionality / intension (ISO 8601-style intervals)
</p>
<p>
- i18n issues
</p>
<p>
- functionality issues (need a lot more operators on these things,
partial ordering, ...)
</p>
</div>
*-->
</div>


<div>
<head>Comments on specific sections</head>

<div><!--* 3.1 *-->
<head>
Section 4, Topological Temporal Relations 
</head>
<p>
Interval relations such as intervalEquals, intervalBefore, etc are mentioned. That a month sometimes has 28, 29, 30, or 31 days is not mentioned. It is not known whether an interval starting now with duration 30 days and an interval starting now with a duration of 1 month are equal. 
</p>
<p>
XML Query derives by restriction from xs:duration the types xs:yearMonthDuration and xs:dayTimeDuration. A less than operator is not defined between xs:duration and one of these two types, or between  xs:yearMonthDuration and xs:dayTimeDuration. 
</p>
</div>
<div><!--* 3.2 *-->
<head>
Section 5, Duration Description 
</head>
<p>
The ranges of the years .. seconds properties is specified in Appendix
A as xsd:decimal. We would have expected all but the seconds property
to be xs:integer. Specifically, we are surprised by the comment <q>so that
you can say duration of 2.5 years.</q> We would expect that a duration of
2 years and 6 months could be defined, but not a duration of 2.5 years. 
</p>
</div>
<div><!--* 3.2 *-->
<head>
Section 5, Duration Description 
</head>
<p>
Even if fractional duration units were better specified,  we believe that
it would be better to align the practice of the ontology with that of
the existing duration types in XML Schema, and require integral values
for all components of the duration except seconds.
</p>
</div>
<div><!--* 2.1 *-->
<head>Section 6 <q>Time Zones</q> 1st paragraph:</head>
<p>The document says in section 6:
<q type="block"><p>
  What hour of the day an instant is in is relative to the time zone.
  This is also true of minutes, since there are regions in the world,
  e.g., central Australia, where the hours are not aligned with UTC hours, 
  but are, e.g., offset half an hour. Seconds are not relative to the
  time zone.
</p></q></p>
<p>
The last sentence is incorrect for e.g. solar time that was used in
Saudi Arabia until 1950.  When noon is calculated by solar observation,
the beginning of the second will in fact vary from time zone to
time zone.</p>
<p>Is the ontology not intended to apply to date and time information
used in the past?  There is no statement in the document that 
such a severe limitation of scope is intended.
<!--* ] of their ontology so a time zone that
was used 60 years ago should be "supported"! *-->
</p>
</div>
<div><!--* 2.2 *-->
<head>
Section 7 "DateTime Description" 1st paragraph:
</head>
<q type="block"><p>
  A datetime description has the following properties/fields: 
  unitType, year, month, week, day, dayOfWeek, dayOfYear, hour,
  minute, second, and timeZone.
</p></q>
<p>
Since the "week" (week number) is culture specific it seems a bad
choice to include it in the "canonical" description without additional 
properties/fields to disambiguate this.
</p>
</div>
<div><!--* 3.3 *-->
<head>
Section 7, DateTime Description 
</head>
<p>
Limits on the values of the DateTimeDescription properties should be
specified (e.g. seconds between 0 inclusive and 60 [or 61] exclusive). 
</p>
<p>
XML Schema defines <q><code>2007-03-21T24:00:00-04:00</code></q> and 
<q><code>20070-03-22T00:00:00-04:00</code></q> as two representations 
of the same time. Is <q>24:00</q> hours allowed in a DateTimeDescription? 
What does it mean?
</p>
</div>
<div><!--* 3.4 *-->
<head>
Section 7, DateTime Description 
</head>
<p>
A requirement should be added, saying that the properties of dayOfWeek, dayOfYear, and week must be consistent with the values of the other properties. 
</p>
</div>

<div>
<head>Section 7 DateTime Description</head>
<p>
Consider the example from the section "DateTime Description":
<eg>
  :meetingStartDescription
      a       :DateTimeDescription ;
      :unitType :unitMinute ;
      :minute 30 ;
      :hour 10 ;
      :day 1 ;
      :dayOfWeek :Sunday ;
      :dayOfYear 1 ;
      :week 1 ;
      :month 1 ;
      :timeZone tz-us:EST ;
      :year 2006 .
</eg>
</p>
<p>
Would this still be valid if the value of <code>:minute</code> were 73?
</p>
<p>
What does <q><code>:week 1</code></q> mean here?  Judging from the
prose (<q>we can also know that 01/01/2006 is Sunday, on the first day
of the year, and in the first week of the year</q>) the reader may
guess that it's intended to mean that the instant being described is
during week 1 of 2006.</p>
<p>
But what does <q>week 1</q> mean?  What is a week, and how are weeks
numbered?  Do weeks begin on Sunday? Monday? On the first day of a
month?  On the first day of a year?</p>
</div>
<div>
<head>Information content (section 7)</head>
<p>Section 7 says in part: <q rend="display">... the advantage of
using <code>DateTimeDescription</code> is that it can express more
information than <code>dateTime</code>, such as <q>week</q>, <q>day of
week</q> and <q>day of year</q>, so in the above example, we can also
know that 01/01/2006 is Sunday, on the first day of the year, and in
the first week of the year.</q></p>
<p>The problem with this proposition is that the day of the week,
and the week number, do not constitute additional information;
the nature of the Gregorian calendar and any systematic week-numbering
system is such that if the date is known, then the day of the week
and the week number are necessarily also known, and can be calculated
algorithmically.  So the claim that a dateTime description 
<q>can express more information</q> than the XSD dateTime type
seems to be simply false, unless the nature of dateTime descriptions
is such that they are not tied to a particular calendar, in which
case it is not clear that they are usable for conventional date/time
information.</p>
</div>
<div>
<head>Week numbering (Section 7)</head>

<p>Section 7 says that Sunday 1 January 2006 is the first day of the 
first week of 2006.  Is it?  Or is it
the last day of the first week of 2006?  Perhaps the most widely
known system now in use for numbering weeks is that of ISO 8601 (and of other ISO 
specifications before
it); in that system, Sunday 1 January 2006 is not the first day
of the first week of 2006, but the last day of week 52 of 2005.
</p>
<!--* <p>
It's clear you're not using the week numbering system of ISO 8601,
because in that numbering scheme weeks begin Monday and the first week
of the year is the week containing January 4, which means that Sunday
1 January 2006 is the last day of week 52 of 2005 - - or in ISO
notation, 2005W52-7.
</p> *-->
<p>
What scheme of week numbering is being used in the example in section
7?  How is a
consumer of a DateTimeDescription to know?  Can it vary from instance
to instance, or is it constant for all DateTime descriptions?</p></div>

<div>
<head>Gregorian and Julian calendars (Section 7 DateTime Description)</head>
<p>
Consider
<eg>
  :meetingStartDescription
      a       :DateTimeDescription ;
      :unitType :unitMinute ;
      :minute 30 ;
      :hour 10 ;
      :day 1 ;
      :dayOfWeek :Saturday ;
      :dayOfYear 1 ;
      :week 1 ;
      :month 1 ;
      :timeZone tz-us:EST ;
      :year 2006 .
</eg>
This is the same as the example in section "DateTime Description"
except that the day of the week changed from Sunday to Saturday.
</p>
<p>
Does it describe an instant in time?  Is there a typo in the dayOfWeek
field?  According to the calendar, 1 January 2006 was a Sunday, not a
Saturday.  Or does the description denote Saturday, 1 January 2006 in
the Julian (Old Style) calendar, which is Saturday 14 January 2006 in
the Gregorian calendar?
</p>
<p>
Consider
<eg>
  :meetingStartDescription
      a       :DateTimeDescription ;
      :unitType :unitMinute ;
      :minute 30 ;
      :hour 10 ;
      :day 1 ;
      :dayOfWeek :Friday ;
      :dayOfYear 1 ;
      :week 1 ;
      :month 1 ;
      :timeZone tz-us:EST ;
      :year 2106 .
</eg>
This is the same as the example in section "DateTime Description"
except that the year has been changed from 2006 to 2106 and the day of
the week changed from Sunday to Friday.
</p>
<p>
What period of time is denoted by this description?  The description
seems to make sense in more than one way.  Friday 1 January 2106 is a
day in the Gregorian calendar; it is also a day in the Julian (or Old
Style) calendar.
</p>
</div>
<div>
<head>Example (section 8.2)</head>
<p><!--* 4p5 *-->
deliverySelectFedEx2-3day is an inappropriate example for
a W3C spec &mdash; please use one that does not mention a specific
company.
</p>
</div>
<div><!--* 3.5 *-->
<head>
Appendix A, Summary of Classes and Properties in the Time Ontology 
</head>
<p>
The QName ranges should use colons, not semicolons (so
<q><code>xsd:decimal</code></q> not <q><code>xsd;decimal</code></q>).
A cut-and-paste or global-change error?
</p>
</div>
<!--*
<div>
<head>QNames (Appendix A)</head>
<p>< ! - - * 4p2 * - - > 
A minor note: qnames have ":" in them, not ";" - - I'm sure this
was a typo but it appears frequently, possibly a result of search
and replace on tzont.
</p></div> *-->

<div><!--* 3.6 *-->
<head>
Appendix B, Time Zone Resource in OWL 
</head>
<p>
Time zones as legal entities are subject to change over time. The U.S.
changed the dates it transitions to and from daylight savings time in
2007 (Energy Policy Act of 2005). DaylightSavingsPolicy does not seem
to be able to represent this complexity. 
</p>
</div>
<div><!--* 2.3 *-->
<head>
Appendix B "Time Zone Resource in OWL" 1st paragraph:
</head>
<q type="block"><p>
  We have developed a time zone resource [15] in OWL for not only
  the US but also the entire world, including three parts: the time 
  zone ontology file [16], the US time zone instance file [17],
  and the world time zone instance file [18].
</p></q>
<p>
Including support for <q>the entire world</q> is a good thing.
The resource seems, however, to lack support
for parts of the world.  The list is long, but this is what 
struck us off the cuff: 
<list type="bullets"><item><p>
solar time that was used (just ONE example) in Saudi Arabia until
1950.
</p>
</item>
<item>
<p>
support for different calendars, many of which are not "aligned"
  with the "ISO" one. Note also that things like the start of the 
  year has changed over time even in the same calendar.
  [This comment though is not time zone specific.]
</p>
</item>
</list>
</p>
</div>
<div><!--* 2.4 *-->
<head>
Appendix B, subsection "Time Zone Ontology" 4th bullet:
</head>
<q type="block"><p>
  observesDaylightSavingsTime: true if the region goes on daylight 
  savings time, false otherwise.
</p></q>
<p>
This "boolean" is unfortunately time-dependent! Take the example of
Sweden:
</p>
<p>
Daylight savings time was introduced on a trial basis in 1916, but
following protests from the farmers it was not repeated the following 
year. It was re-introduced in 1980. The start and end date has also
varied considerably with time, which does not seem to be expressable.
</p>
</div>
<div>
<head>Using the time zone ontology (Appendix B)</head>
<p><!--* 4p3 *-->
It is not clear how one would use the time zone ontology given,
"The expected input to the ontology is a location, e.g. a city, and the
output will be its current time offset, say -6 hours, from the Greenwich
Mean Time (GMT)." in genealogical research, where one would presumably
want the timezone for an historical date (to calculate astrological
charts?)  For this to work you'd need also to specify a year -- e.g.
there was a double DST in effect during WWII, and in most countries
summer time was not used at all before
WW I.
</p></div>
<div>
<head>GMT Offset (Appendix B.1)</head>
<p><!--* 4p4 *-->
The offset <q>GMToffset: an XML Schema duration between -12
and +14 hours.</q> appears to be sufficient to hold any actual 
timezone in current use, although
it's not clear whether it takes DST into account.
But the range of actual time zones has changed somewhat in
recent years, and there is little likelihood that
such changes will cease in the foreseeable future.
</p>
</div>
</div>


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