Certificate for #4494 ⟨a, b | aaabaaba=abb⟩

Completion settings:

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

Axiom: aaabaaba=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #1.

Referenced by [3], [5].

Simplify [1] aaabaaba=abb.

Reduce RHS:

Defines rule #2.

Referenced by [4], [5].

Overlap of [3] aaabaaba=c with [3] aaabaaba=c:

Critical pair: aaabaabc=caabaaba.

Flip LHS and RHS.

Defines rule #4.

Overlap of [3] aaabaaba=c with [2] abb=c:

Critical pair: aaabaabc=cbb.

Flip LHS and RHS.

Defines rule #3.