Mathematical reasoning tools, such as computer algebra systems, theorem
provers, decision procedures, etc., are increasingly employed in mathematics
and engineering. Also large repositories of formalized mathematics are currently
emerging. It is nevertheless the case that the actual pragmatics of mathematics
is still to be characterized as mainly pen and paper based. One reason is
that still no convincing systems exist that provide a sufficiently integrated
for the usual work phases of a mathematician, e.g. from initial
conception and organization of ideas up to the final publication in a journal
The aim of this IJCAR workshop is to bring together people interested
in the vision of fully integrated support environments for mathematics. A
special focus of the workshop is on computer-support for the development of
mathematical theories. Mathematical theory development describes the formulation,
organization, manipulation, and maintenance of mathematical content. Support
for adequate interaction with the (human) mathematician is mandatory in this
Thus, computer-supported mathematical theory development comprises
- the formulation of mathematical statements in a computer-processable
- computer-support in processing mathematical content; depending on the
content, this can mean "proving", "computing", "solving", "visualizing", "checking",
"simulating", "conjecturing", etc.
- the systematic organization and maintenance in and the powerful retrieval
of mathematical knowledge from computer-accessible media,
- the management of change in the development of mathematical knowledge,
- the publication and presentation of mathematical material using new and/or
well-established computer-based publication or presentation formats, and
- the interaction between the human mathematician and the supporting software.
The workshop addresses the design and implementation of frameworks aiming
at integrated support for the entire process of theory development
Clearly, there is still
a big gap between the systems envisioned and the systems already available
and this gap has to be overcome in the future. Therefore also partial solutions
are to be presented if their relevance for the bigger vision is illustrated.
The workshop features presentations of systems or concepts that contribute
to the successful automatization of mathematical theory development. The
preferred style of contribution contains as the main part a system-demo
that illustrates the capabilities of the proposed system in the development
of (parts of) some commonly known and easy to understand mathematical theory.
We invite authors of accepted papers to give extended system-demos.