Certificate for #2189 ⟨a, b | aaabbaa=bba⟩

Back:⟨a, b | aaabbaa=bba⟩

Completion settings:

[1] aaabbaa=bba

Axiom: aaabbaa=bba.

Referenced by [3].

[2] bba=c

Axiom: bba=c.

Defines rule #4.

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

[3] aaabbaa=c

Simplify [1] aaabbaa=bba.

Reduce RHS:

[2](bba)
⇒ c

Referenced by [4].

[4] aaaca=c

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

aaa bbaa bba

Critical pair: aaaca=c.

Defines rule #2.

Referenced by [5], [6].

[5] bbc=caaca

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

bb a aaaca

Critical pair: bbc=caaca.

Defines rule #3.

[6] aaacc=caaca

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

aaac a aaaca

Critical pair: aaacc=caaca.

Defines rule #1.