Certificate for #3029 ⟨a, b, c | aba=b, abc=c⟩

Completion settings:

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

Axiom: aba=b.

Defines rule #1.

Referenced by [3], [4].

Axiom: abc=c.

Defines rule #2.

Referenced by [4].

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

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #3.

Overlap of [1] aba=b with [2] abc=c:

Critical pair: abc=bbc.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.