Certificate for #19251 ⟨a, b | aaa=a, aabab=ab

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Defines rule #1.

Referenced by [3].

[2] aabab=ab

Axiom: aabab=ab.

Referenced by [3], [4].

[3] abab=aab

Overlap of [1] aaa=a with [2] aabab=ab:

a aa aabab

Critical pair: aab=abab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] abaab=ab

Overlap of [3] abab=aab with [3] abab=aab:

ab ab abab

Critical pair: abaab=aabab.

Reduce RHS:

[2](aabab)
ab

Defines rule #3.