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elementary set

Theory and Practice of Logic Programming (1)

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On the complexity of identifying head-elementary-set-free programs
FABIO FASSETTI, LUIGI PALOPOLI
Journal:

Theory and Practice of Logic Programming / Volume 10 / Issue 1 / January 2010

Published online by Cambridge University Press:

13 November 2009, pp. 113-123
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Head-elementary-set-free (HEF) programs were proposed in (Gebser et al. 2007) and shown to generalize over head-cycle-free programs while retaining their nice properties. It was left as an open problem in (Gebser et al. 2007) to establish the complexity of identifying HEF programs. This note solves the open problem by showing that the problem is complete for coNP.