Certificate for #14593 ⟨a, b | aaba=a, bbbaa=a

Completion settings:

[1] aaba=a

Axiom: aaba=a.

Defines rule #1.

Referenced by [3], [4].

[2] bbbaa=a

Axiom: bbbaa=a.

Referenced by [3], [4].

[3] bbba=aba

Overlap of [2] bbbaa=a with [1] aaba=a:

bbb aa aaba

Critical pair: bbba=aba.

Defines rule #3.

Referenced by [4].

[4] abaa=a

Overlap of [2] bbbaa=a with [1] aaba=a:

bbba a aaba

Critical pair: bbbaa=aaba.

Reduce LHS:

[3](bbba)a
abaa

Reduce RHS:

[1](aaba)
a

Defines rule #2.