Certificate for #4447 ⟨a, b, c | aba=1, bbcb=c⟩

Completion settings:

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

Axiom: aba=1.

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

Axiom: bbcb=c.

Referenced by [4].

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

Critical pair: ab=ba.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4], [6].

Overlap of [2] bbcb=c with [3] ba=ab:

Critical pair: bbcab=ca.

Referenced by [5].

Overlap of [4] bbcab=ca with [1] aba=1:

Critical pair: bbc=caa.

Defines rule #4.

Referenced by [7].

Overlap of [1] aba=1 with [3] ba=ab:

Critical pair: aab=1.

Defines rule #2.

Referenced by [7], [8].

Overlap of [6] aab=1 with [5] bbc=caa:

Critical pair: aacaa=bc.

Referenced by [8].

Overlap of [7] aacaa=bc with [6] aab=1:

Critical pair: aac=bcb.

Defines rule #3.