Certificate for #2034 ⟨a, b, c | aaaa=1, abbc=1⟩

Completion settings:

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

Axiom: aaaa=1.

Referenced by [3], [4].

Axiom: abbc=1.

Referenced by [3], [5], [7].

Overlap of [1] aaaa=1 with [2] abbc=1:

Critical pair: aaa=bbc.

Referenced by [4], [5].

Overlap of [1] aaaa=1 with [3] aaa=bbc:

Critical pair: bbca=1.

Referenced by [6].

Overlap of [3] aaa=bbc with [2] abbc=1:

Critical pair: aa=bbcbbc.

Referenced by [6].

Overlap of [4] bbca=1 with [5] aa=bbcbbc:

Critical pair: bbcbbcbbc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [7].

Overlap of [2] abbc=1 with [6] a=bbcbbcbbc:

Critical pair: bbcbbcbbcbbc=1.

Defines rule #1.