Certificate for #4796 ⟨a, b | abaababa=bab

Completion settings:

[1] abaababa=bab

Axiom: abaababa=bab.

Referenced by [3].

[2] bab=c

Axiom: bab=c.

Defines rule #4.

Referenced by [3], [4], [5], [6].

[3] abaababa=c

Simplify [1] abaababa=bab.

Reduce RHS:

[2](bab)
c

Referenced by [4].

[4] abaaca=c

Overlap of [3] abaababa=c with [2] bab=c:

abaa baba bab

Critical pair: abaaca=c.

Defines rule #3.

Referenced by [6], [7].

[5] bac=cab

Overlap of [2] bab=c with [2] bab=c:

ba b bab

Critical pair: bac=cab.

Defines rule #2.

[6] bc=caaca

Overlap of [2] bab=c with [4] abaaca=c:

b ab abaaca

Critical pair: bc=caaca.

Defines rule #1.

[7] abaacc=cbaaca

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

abaac a abaaca

Critical pair: abaacc=cbaaca.

Defines rule #5.