We contribute to a research program that aims to classify, for each finite structure, the computational complexity of the quantified constraint satisfaction problem on the structure. Employing an established algebraic viewpoint to studying this problem family, whereby this classification program can be phrased as a classification of algebras, we give a complete classification of all finite monoids.
@InProceedings{chen_et_al:LIPIcs.CSL.2016.15, author = {Chen, Hubie and Mayr, Peter}, title = {{Quantified Constraint Satisfaction on Monoids}}, booktitle = {25th EACSL Annual Conference on Computer Science Logic (CSL 2016)}, pages = {15:1--15:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-022-4}, ISSN = {1868-8969}, year = {2016}, volume = {62}, editor = {Talbot, Jean-Marc and Regnier, Laurent}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2016.15}, URN = {urn:nbn:de:0030-drops-65553}, doi = {10.4230/LIPIcs.CSL.2016.15}, annote = {Keywords: quantified constraint satisfaction, universal algebra, computational complexity} }
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