Certificate for #16161 ⟨a, b | aab=ab, abaa=aa

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Defines rule #2.

Referenced by [3], [4].

[2] abaa=aa

Axiom: abaa=aa.

Defines rule #3.

Referenced by [3], [4].

[3] aaa=aa

Overlap of [1] aab=ab with [2] abaa=aa:

a ab abaa

Critical pair: aaa=abaa.

Reduce RHS:

[2](abaa)
aa

Defines rule #1.

[4] abab=ab

Overlap of [2] abaa=aa with [1] aab=ab:

ab aa aab

Critical pair: abab=aab.

Reduce RHS:

[1](aab)
ab

Defines rule #4.