Certificate for #4123 ⟨a, b, c | aaa=1, abcb=b⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1

Axiom: aaa=1.

Defines rule #3.

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

Axiom: abcb=b.

Referenced by [3].

Overlap of [1] aaa=1 with [2] abcb=b:

Critical pair: aab=bcb.

Referenced by [4], [5].

Overlap of [1] aaa=1 with [3] aab=bcb:

Critical pair: aabcb=ab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [1] aaa=1 with [4] ab=bcbcb:

Critical pair: aabcbcb=b.

Reduce LHS:

Defines rule #1.