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Conferences on Intelligent Computer Mathematics 2009, OpenMath Workshop

Conferences on Intelligent Computer Mathematics 2009, OpenMath Workshop

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    wiki.openmath.org – how it works, how you can participate wiki.openmath.org – how it works, how you can participate Presentation Transcript

    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion wiki.openmath.org – how it works, how you can participate OpenMath Workshop @ CICM 2009 Christoph Lange Jacobs University, Bremen, Germany KWARC – Knowledge Adaptation and Reasoning for Content This work was supported by JEM-Thematic-Network ECP-038208. July 9, 2009 Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 1/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Overview http://wiki.openmath.org – browse, edit, and discuss OpenMath 2 and 3 Content Dictionaries permission system distinguishes CD editors from visitors powered by semantic wiki technology (SWiM) In this talk: How does it work? How can you use it? What do users think? What’s next? Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 2/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion OpenMath CD example <CD> <CDName>arith1</CDName> <Description>common arithmetic functions</Description> <CDBase>http://www.openmath.org/cd</CDBase> <!-- also mandatory: date, version, status --> <CDDefinition> <Name>plus</Name> <Role>application</Role> <Description>The symbol representing an n-ary commutative function plus.</Description> <CMP>for all a,b | a + b = b + a </CMP> <FMP>β(quant1#forall, a, b, @(relation1#eq, @(arith1#plus, a, b), @(arith1#plus, b, a)))</FMP> ... <Example>...</Example> </CDDefinition> ... </CD> Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 3/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Additional information Given in separate files (one per CD): types of symbols: e. g. in STS notations of symbols (for human-readable [Presentation MathML] output): XSLT or domain-specific language Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 4/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Maintenance of the OpenMath CDs (1) Review process: Official CDs (those maintained by OpenMath Society) undergo review process Once intended meaning of a symbol is fixed, mistakes still remain Authoring: CD files reside in Subversion repository https://svn.openmath.org check out working copy use XML-aware text editor Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 5/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Maintenance of the OpenMath CDs (2) Discussing issues: mailing lists om@openmath.org, om3@openmath.org Trac issue tracker: https://trac.mathweb.org/OM3 Presenting CDs: Most commonly XHTML+MathML XSLT, controlled by makefiles Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 6/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 1: Minor Edits edits that don’t change semantics (e. g. spelling of a symbol description) – traditional workflow: 1 Update the svn working copy 2 Open the CD file 3 Navigate to the Description child of the symbol in question 4 Fix the mistake 5 Commit the file (and give a meaningful log message that exactly refers to the symbol where the mistake was fixed) Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 7/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 2: Discussing and Implementing Revisions major revisions that a single editor cannot make and that have to be discussed 1 Someone points out a problem (e. g. an FMP is wrong) 2 . . . sends a mail to the mailing list (including a link to the CD) (theoretical alternative: Trac) 3 others reply, reach agreement 4 somebody implements the solution and documents it in the log message Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 8/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 3: Editing and Verifying Notations n imagine seeing exp(x) = ∑n=0 x in some CD exp.ocd ∞ n! 1 What formal identifier does ∑ have? ⇒ arith1#sum 2 Open arith1.ntn (or arith1.xsl ) 3 Go to ‘‘sum’’ 4 Fix the notation definition ⇒ ∑upper lower 5 Regenerate the original CD’s presentation: make exp.xhtml (Regenerate all CDs where ∑ occurs? Regenerate all CDs??) 6 Open exp.xhtml in browser. Correct? If not, then go to 2 7 Commit arith1.ntn, giving a meaningful log message Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 9/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion The OpenMath Wiki at wiki.openmath.org Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 10/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 1: Minor Edits (1) SWiM offers editors for all types of knowledge in CDs (→ Lange/González Palomo, MathUI 2008): structural outline (e. g. CD→CDDefinition→FMP) metadata of all such units (e. g. description, revision date) OpenMath objects (inside FMPs and examples) Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 11/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Structure Editor Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 12/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Metadata Editor Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 13/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Formula Editor Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 14/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 1: Minor Edits (2) revisions in a context as local as possible every CD, symbol, CMP, FMP, example is one wiki page = one unit of navigation, editing, maintenance (compare Subversion: 1 CD = 1 file) split CD into such fragments on update from svn, reassemble it on commit smooth Subversion integration (no breaks so far!): can still edit with other tools CDs can still be viewed as a whole r1234 | clange | 2009-05-11 13:06:41 +0200 (Mon, 11 May 2009) | 2 lines [Administrator@SWiM] replaced metadata field dc:description Actually changed fragment cd:transc1+sin Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 15/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 2: Discussing and Implementing Revisions (1) One local discussion forum per wiki page (= CD, symbol, math. property, example) discussions on the granularity of knowledge discussion threads with a semantic structure compare conventional wikis: unstructured discussion pages, users have to follow syntactic and linguistic conventions SWiM: users can indicate the type of their post: argumentation ontology: issue→idea→position→decision Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 16/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 2: Discussing and Implementing Revisions (2) Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 17/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 2: Discussing and Implementing Revisions (3) Joint queries over discussion threads and CDs: discussions represented as RDF graph (using the argumentation ontology) post types reply-to relation CD structures also represented as RDF (extracted from XML) part–whole links links from symbol occurrences to symbol definitions metadata Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 18/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 2: Discussing and Implementing Revisions (3) SELECT DISTINCT ?P WHERE { ?P a omo:Symbol ; ikewiki:hasDiscussion ?D . ?C a arguonto:Issue; sioc:has_container ?D . OPTIONAL { ?Dec arguonto:decides ?C . } FILTER (!bound(?Dec)) } Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 19/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 2: Discussing and Implementing Revisions (4) Potential of extending argumentation ontology domain-specifically: common problems have common solutions system can assist users with implementing them ongoing survey on what is ‘‘common’’: http://tinyurl.com/5qdetd Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 20/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 3: Editing and Verifying Notations SWiM uses *.ntn notation dictionaries (→ Kohlhase/Müller/Rabe, MKM 2008), renders documents using JOMDoc (http://jomdoc.omdoc.org) Editing workflow: 1 navigate from occurrence of symbol to its definition (thanks to parallel markup) 2 navigate from symbol definition to the corresponding notation (to be speeded up by more interactivity → Giceva/Lange/Rabe, Sunday) 3 rendered documents are cached, but after changing a notation definition clears all affected documents from cache (query finds affected documents) Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 21/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Use Case 3: Editing and Verifying Notations Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 22/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Evaluation Discussions: only feature really used so far (usability issues?) initially imported old e-mail discussions (Rowley/Carlisle/Kohlhase/. . . ) later, users also discussed in the wiki (90 discussion posts overall) 69 posts fit into argumentation ontology (48 issues, 10 ideas) 9 out of 23 user-contributed posts not classified post type missed most: question some posts not classifiable because of multiple argumentative types in the same sentence (research challenge!) 36 posts (e-mail only) about symbols, 54 on CD level, none for [CF]MPs, examples. Subparts hard to reach? Not intuitive? Posts about more than one symbol? Users basically understand how to discuss Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 23/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Bugs and Missing Features bias on editing existing content e. g. adding a symbol to a CD is close to impossible (due to different granularities wiki vs. svn) Subversion support is restricted: update, commit, lock (no add, delete, merge, . . . ) other misses: no links to discussion posts, no e-mail notification, no global search/replace What else? → http://trac.mathweb.org/OM3 – thanks! Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 24/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Roadmap underlying IkeWiki engine discontinued started port to successor KiWi (more modular, dashboard, recommendation, facetted search, transactions) TNTBase (→ http://trac.mathweb.org/tntbase), versioned XML database interactive documents → Giceva/Lange/Rabe, Sunday Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 25/26
    • OpenMath CDs Authoring/Reviewing Wiki Evaluation Conclusion Conclusion SWiM supports certain special but common use cases very well not yet a full CD editor SWiM to be improved → better collaboration on http://wiki.openmath.org Ch. Lange (Jacobs University) wiki.openmath.org – how it works, how you can participate July 9, 2009 26/26