Certificate for #14526 ⟨a, b | aaab=b, bbaba=b⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aaab=b.

Defines rule #1.

Referenced by [3].

Axiom: bbaba=b.

Referenced by [3], [4], [5], [6], [7], [8], [10].

Overlap of [2] bbaba=b with [1] aaab=b:

Critical pair: bbabb=baab.

Referenced by [4], [5], [8].

Overlap of [3] bbabb=baab with [2] bbaba=b:

Critical pair: bbab=baababa.

Flip LHS and RHS.

Referenced by [8], [9].

Overlap of [3] bbabb=baab with [3] bbabb=baab:

Critical pair: bbabaab=baababb.

Reduce LHS:

Flip LHS and RHS.

Referenced by [6].

Overlap of [2] bbaba=b with [5] baababb=bab:

Critical pair: bbabab=bababb.

Reduce LHS:

Flip LHS and RHS.

Referenced by [7].

Overlap of [6] bababb=bb with [2] bbaba=b:

Critical pair: babab=bbaba.

Reduce RHS:

Defines rule #4.

Referenced by [8], [9].

Overlap of [2] bbaba=b with [4] baababa=bbab:

Critical pair: bbabbab=bababa.

Reduce LHS:

Reduce RHS:

Defines rule #5.

Referenced by [9].

Overlap of [7] babab=b with [4] baababa=bbab:

Critical pair: bababbab=baababa.

Reduce LHS:

Reduce RHS:

Defines rule #3.

Referenced by [10].

Overlap of [2] bbaba=b with [9] bbab=baa:

Critical pair: baaa=b.

Defines rule #2.