$n$-permutability and linear Datalog implies symmetric Datalog

Alexandr Kazda

doi:10.23638/lmcs-14(2:3)2018

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arXiv · 1508.05766

$n$-permutability and linear Datalog implies symmetric Datalog

Alexandr Kazda

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Abstract

We show that if $\mathbb A$ is a core relational structure such that CSP($\mathbb A$) can be solved by a linear Datalog program, and $\mathbb A$ is $n$-permutable for some $n$, then CSP($\mathbb A$) can be solved by a symmetric Datalog program (and thus CSP($\mathbb A$) lies in deterministic logspace). At the moment, it is not known for which structures $\mathbb A$ will CSP($\mathbb A$) be solvable by a linear Datalog program. However, once somebody obtains a characterization of linear Datalog, our result immediately gives a characterization of symmetric Datalog.

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BibTeX RIS

Alexandr Kazda. 2015-08-24. $n$-permutability and linear Datalog implies symmetric Datalog. https://doi.org/10.23638/lmcs-14(2%3A3)2018

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