3 <work-package number="2">
4 <name>Transformation</name>
7 <person-month participant="bologna" number="13"/>
8 <person-month participant="inria" number="4"/>
9 <person-month participant="dfki" number="3"/>
10 <person-month participant="nijmegen" number="11"/>
11 <person-month participant="aei" number="3"/>
12 <person-month participant="trusted-logic" number="0"/>
14 <p>This work package is devoted to the complex issue of
15 transforming a low level, content description of mathematics
16 (understandable by automatic applications for the
17 mechanization of mathematics) into a human-readable
18 presentational format. It covers both statements and proofs.
19 The transformation will be decomposed in a sequence of
20 intermediate steps, for modularity reasons. All
21 transformations will be implemented by means of
22 XSLT-stylesheets. Stylesheets will be simple, modular, and
23 easily composable. All the transformation process should be
24 independent from any specific application.</p>
27 <p>The work package is articulated in the following tasks:</p>
30 <dd>XML exportation. The task is devoted to the translation
31 of the standard library of the COQ Proof assistant into a
32 suitable XML dialect, and to the definition of a low-level
33 DTD for the terms of the Calculus of Inductive
34 Construction (the logical system used by COQ).</dd>
37 <dd>Stylesheets to intermediate representation.
38 Implementation of a bunch of stylesheets transforming the
39 low-level logical description of COQ-expressions into a
40 ``standard'' intermediate, content-level representation
41 such as MathML content.</dd>
44 <dd>Proof transformation. Similar to the previous task, but
45 for proofs. The delicate point, here, is the fact that no
46 ``standard'' intermediate representation currently exists,
47 and thus it has to be defined.</dd>
50 <dd>Automatic extraction of metadata. Relevant metadata such
51 as list of identifiers in critical positions inside
52 statements can be automatically extracted from the fully
53 structured representation of mathematical objects. This
54 information can then be exploited for searching and
55 retrieving. The precise list of metadata will be defined
56 in Work Package 3.</dd>
59 <dd>Presentational Stylesheets. Implementation of a bunch of
60 stylesheets transforming the intermediate content
61 representation into a suitable rendering format (MathML
62 presentation, HTML, etc.)</dd>
65 <dd>Automatic Proof Generation in Natural Language. Similar
66 to the previous task but for proofs. In this case, a fully
67 automated approach is unlikely to produce really
68 satisfactory results, and the process should be possibly
69 integrated with some mechanism for interactive annotation
73 <deliverable file="D2.a"/>
74 <deliverable file="D2.b"/>
75 <deliverable file="D2.c"/>
76 <deliverable file="D2.d"/>
77 <deliverable file="D2.e"/>
78 <deliverable file="D2.f"/>
79 <deliverable file="D2.g"/>
81 <p>The exportation module D2.a. is our first
82 milestone: without a large amount of available documents it
83 would be impossible to test the transformations. Similarly,
84 without a precise definition of the intermediate language,
85 and a large sample of documents in this format (D2c-d) we
86 cannot start to seriously address the presentational issue.
87 Note that the intermediate language is the real core of the
89 <p>The development of presentational stylesheets also depends
90 in an essential way on the development of rendering/browsing
91 engines for the chosen presentational language (in
92 particular, for MathML).</p>
93 <p>For the end of month 18, we expect to have a first working
94 prototype of the whole application.</p>