Certificate for #5237 ⟨a, b | aba=aa, baab=b

Completion settings:

[1] aba=aa

Axiom: aba=aa.

Defines rule #1.

Referenced by [3], [4], [5].

[2] baab=b

Axiom: baab=b.

Defines rule #5.

Referenced by [3], [4].

[3] aaab=ab

Overlap of [1] aba=aa with [2] baab=b:

a ba baab

Critical pair: ab=aaab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

[4] baaa=ba

Overlap of [2] baab=b with [1] aba=aa:

ba ab aba

Critical pair: baaa=ba.

Defines rule #4.

[5] aaaa=aa

Overlap of [3] aaab=ab with [1] aba=aa:

aa ab aba

Critical pair: aaaa=aba.

Reduce RHS:

[1](aba)
aa

Defines rule #2.