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. 2023 Jan 3;39(1):btad001. doi: 10.1093/bioinformatics/btad001

Table 1.

Properties of the Boolean relations

Relation Symmetry Reflexivity Transitivity
Equivalent Symmetric Reflexive Transitive
Contains Asymmetric Irreflexive Transitive
Is contained Asymmetric Irreflexive Transitive
Overlap Symmetric Irreflexive Intransitive
Disjoint Symmetric Irreflexive Intransitive

Note: The converse of ‘contains’ is ‘is contained’ and vice versa.