Real Geometry and Connectedness via Triangular Description: CAD Example Bank

A PDF file which lists the examples, their properties and their source; A text file for Maple which is designed to be read by Maple for easy access to the examples; A text file for QEPCAD from which examples can be easily copied for input into QEPCAD.

Keywords:

groebner basis cylindrical algebraic decomposition

Cite this dataset as:
Wilson, D., 2012. Real Geometry and Connectedness via Triangular Description: CAD Example Bank. Bath: University of Bath Research Data Archive.

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Data

Wilson_2012_pdf.pdf
application/pdf (437kB)
Creative Commons: Attribution-Share Alike 4.0

Wilson_2012_QEPCAD_text
text/plain (6kB)
Creative Commons: Attribution-Share Alike 4.0

Wilson_2012_text
text/plain (15kB)
Creative Commons: Attribution-Share Alike 4.0

All files are available under a Creative Commons Attribution - Share Alike 4.0 International Licence.

Creators

David Wilson

Contributors

University of Bath
Rights Holder

Documentation

Additional information:

Each example is given as a Tarski formula or list of polynomials followed by a list of free variables, a list of quantified variables, the suggested variable order given from the source (if any), the minimal number of cells achieved in a full CAD (with details of how to reproduce), notes on the problem, and the source.

Funders

Engineering and Physical Sciences Research Council (EPSRC)
http://dx.doi.org/10.13039/501100000266

Real Geometry and Connectedness via Triangular Description
EP/J003247/1

Publication details

Publication date: April 2012
by: University of Bath

Version: 1

There is a more recent version of this item available.

Version 1. (April 2012) [Currently Displayed]
Version 2. (November 2012)
Version 4. (April 2013)

URL for this record: https://researchdata.bath.ac.uk/id/eprint/67

Related papers and books

Wilson, D. J., Bradford, R. J., and Davenport, J. H., 2012. Speeding Up Cylindrical Algebraic Decomposition by Gröbner Bases. In: Lecture Notes in Computer Science. Springer Berlin Heidelberg, 280-294. Available from: https://doi.org/10.1007/978-3-642-31374-5_19.

Contact information

Please contact the Research Data Service in the first instance for all matters concerning this item.

Contact person: David Wilson

Departments:

Faculty of Science
Computer Science