Certificate for #4661 ⟨a, b | aababbaa=bba⟩

Back:⟨a, b | aababbaa=bba⟩

Completion settings:

[1] aababbaa=bba

Axiom: aababbaa=bba.

Referenced by [3].

[2] bba=c

Axiom: bba=c.

Defines rule #4.

Referenced by [3], [4], [5].

[3] aababbaa=c

Simplify [1] aababbaa=bba.

Reduce RHS:

[2](bba)
⇒ c

Referenced by [4].

[4] aabaca=c

Overlap of [3] aababbaa=c with [2] bba=c:

aaba bbaa bba

Critical pair: aabaca=c.

Defines rule #2.

Referenced by [5], [6].

[5] bbc=cabaca

Overlap of [2] bba=c with [4] aabaca=c:

bb a aabaca

Critical pair: bbc=cabaca.

Defines rule #3.

[6] aabacc=cabaca

Overlap of [4] aabaca=c with [4] aabaca=c:

aabac a aabaca

Critical pair: aabacc=cabaca.

Defines rule #1.