Certificate for #15955 ⟨a, b | aaa=aa, aaba=bb

Completion settings:

[1] aaa=aa

Axiom: aaa=aa.

Defines rule #1.

Referenced by [4].

[2] bb=aaba

Axiom: aaba=bb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] aabab=baaba

Overlap of [2] bb=aaba with [2] bb=aaba:

b b bb

Critical pair: baaba=aabab.

Flip LHS and RHS.

Defines rule #4.

Referenced by [4].

[4] abaaba=baaba

Overlap of [1] aaa=aa with [3] aabab=baaba:

a aa aabab

Critical pair: abaaba=aabab.

Reduce RHS:

[3](aabab)
baaba

Defines rule #3.