Certificate for #4957 ⟨a, b | aaaabaa=baba⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with c < a < b
• Auxiliary generators:
  1. aaaaba=c

Axiom: aaaabaa=baba.

Referenced by [3].

Axiom: aaaaba=c.

Defines rule #8.

Referenced by [3], [5], [6], [7], [8].

Overlap of [1] aaaabaa=baba with [2] aaaaba=c:

Critical pair: ca=baba.

Flip LHS and RHS.

Defines rule #4.

Referenced by [4], [6], [7], [9].

Overlap of [3] baba=ca with [3] baba=ca:

Critical pair: baca=caba.

Defines rule #2.

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

Critical pair: aaaabc=caaaba.

Defines rule #7.

Overlap of [2] aaaaba=c with [3] baba=ca:

Critical pair: aaaaca=cba.

Defines rule #6.

Overlap of [3] baba=ca with [2] aaaaba=c:

Critical pair: babc=caaaaba.

Reduce RHS:

Defines rule #3.

Referenced by [8], [9].

Overlap of [2] aaaaba=c with [7] babc=cc:

Critical pair: aaaacc=cbc.

Defines rule #5.

Overlap of [3] baba=ca with [7] babc=cc:

Critical pair: bacc=cabc.

Defines rule #1.