Certificate for #3618 ⟨a, b, c | aaa=1, abbcc=1⟩

Completion settings:

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

Axiom: aaa=1.

Referenced by [3], [4].

Axiom: abbcc=1.

Referenced by [3], [5].

Overlap of [1] aaa=1 with [2] abbcc=1:

Critical pair: aa=bbcc.

Referenced by [4], [5], [6].

Overlap of [1] aaa=1 with [3] aa=bbcc:

Critical pair: bbcca=1.

Referenced by [6].

Overlap of [3] aa=bbcc with [2] abbcc=1:

Critical pair: a=bbccbbcc.

Defines rule #2.

Referenced by [6].

Overlap of [3] aa=bbcc with [3] aa=bbcc:

Critical pair: abbcc=bbcca.

Reduce LHS:

Reduce RHS:

Defines rule #1.