Certificate for #888 ⟨a, b | aa=a, abab=a

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

[2] abab=a

Axiom: abab=a.

Referenced by [3], [4].

[3] aba=ab

Overlap of [2] abab=a with [2] abab=a:

ab ab abab

Critical pair: aba=aab.

Reduce RHS:

[1](aa)b
ab

Defines rule #2.

Referenced by [4].

[4] abb=a

Overlap of [2] abab=a with [3] aba=ab:

abab aba

Critical pair: abb=a.

Defines rule #3.