Certificate for #4461 ⟨a, b | aaaabbaa=bba⟩

Back:⟨a, b | aaaabbaa=bba⟩

Completion settings:

[1] aaaabbaa=bba

Axiom: aaaabbaa=bba.

Referenced by [3].

[2] bba=c

Axiom: bba=c.

Defines rule #4.

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

[3] aaaabbaa=c

Simplify [1] aaaabbaa=bba.

Reduce RHS:

[2](bba)
⇒ c

Referenced by [4].

[4] aaaaca=c

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

aaaa bbaa bba

Critical pair: aaaaca=c.

Defines rule #2.

Referenced by [5], [6].

[5] bbc=caaaca

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

bb a aaaaca

Critical pair: bbc=caaaca.

Defines rule #3.

[6] aaaacc=caaaca

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

aaaac a aaaaca

Critical pair: aaaacc=caaaca.

Defines rule #1.