Certificate for #2595 ⟨a, b, c | aba=b, aabc=1⟩

Completion settings:

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

Axiom: aba=b.

Defines rule #1.

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

Axiom: aabc=1.

Defines rule #4.

Referenced by [4].

Overlap of [1] aba=b with [1] aba=b:

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #2.

Overlap of [1] aba=b with [2] aabc=1:

Critical pair: ab=babc.

Flip LHS and RHS.

Defines rule #5.

Referenced by [5].

Overlap of [1] aba=b with [4] babc=ab:

Critical pair: aab=bbc.

Flip LHS and RHS.

Defines rule #3.