Certificate for #14561 ⟨a, b | aaba=a, abbaa=a

Completion settings:

[1] aaba=a

Axiom: aaba=a.

Defines rule #1.

Referenced by [3], [4].

[2] abbaa=a

Axiom: abbaa=a.

Referenced by [3], [4].

[3] abba=aba

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

abb aa aaba

Critical pair: abba=aba.

Defines rule #3.

Referenced by [4].

[4] abaa=a

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

abba a aaba

Critical pair: abbaa=aaba.

Reduce LHS:

[3](abba)a
abaa

Reduce RHS:

[1](aaba)
a

Defines rule #2.