Certificate for #3586 ⟨a, b | aababaabab=a⟩

Back:⟨a, b | aababaabab=a⟩

Completion settings:

[1] aababaabab=a

Axiom: aababaabab=a.

Referenced by [2], [3].

[2] aababa=aaabab

Overlap of [1] aababaabab=a with [1] aababaabab=a:

aabab aabab aababaabab

Critical pair: aababa=aaabab.

Defines rule #1.

Referenced by [3].

[3] aaaababbab=a

Overlap of [1] aababaabab=a with [2] aababa=aaabab:

aababaabab aababa

Critical pair: aaabababab=a.

Reduce LHS:

[2]a(aababa)bab
⇒ aaaababbab

Defines rule #2.