Definitions of symmetric clos_sym and reflexive-symmetric clos_refl_sym closures.
Notation for them.
"a ^⋈" notation for symmetric closure
"a ^⋈?" notation for reflexive-symmetric closure
Some useful lemmas about (reflexive-)symmetric closure.
Some useful lemmas about symmetry of relations.
It seems that there is no standard notation for symmetric closure in the literature.
Thus the choice of notation is debatable.
A few alternatives considered by me.
"a ^=" notation for reflexive-symmetric closure from WeakestMO original paper.
The "a ^=" notation is also often used for reflexive closure and thus it is undesirable (might lead to confusion).
"a ^s" and "a ^s?" notation. It seems that this notation was used previously in some literature (link). However, I personally like \bowtie ^⋈ notation more.
clos_symand reflexive-symmetricclos_refl_symclosures.Some useful lemmas about symmetry of relations.
It seems that there is no standard notation for symmetric closure in the literature. Thus the choice of notation is debatable. A few alternatives considered by me.
"a ^=" notation for reflexive-symmetric closure from WeakestMO original paper. The "a ^=" notation is also often used for reflexive closure and thus it is undesirable (might lead to confusion).
"a ^s" and "a ^s?" notation. It seems that this notation was used previously in some literature (link). However, I personally like
\bowtie^⋈ notation more.