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        Two new homomorphism dualities and lattice operations

        Author
        Carvalho, Catarina
        Dalmau, Victor
        Krokhin, Andrei
        Attention
        2299/9617
        Abstract
        The study of constraint satisfaction problems definable in various fragments of Datalog has recently gained considerable importance. We consider constraint satisfaction problems that are definable in the smallest natural recursive fragment of Datalog - monadic linear Datalog with at most one EDB per rule, and also in the smallest non-linear extension of this fragment. We give combinatorial and algebraic characterisations of such problems, in terms of homomorphism dualities and lattice operations, respectively. We then apply our results to study graph H-colouring problems.
        Publication date
        2011
        Published in
        Journal of Logic and Computation
        Published version
        https://doi.org/10.1093/logcom/exq030
        Other links
        http://hdl.handle.net/2299/9617
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