Certificate for #1867 ⟨a, b | aaaabbaa=ab⟩

Completion settings:

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

Axiom: aaaabbaa=ab.

Referenced by [3].

Axiom: abb=c.

Referenced by [3], [4].

Overlap of [1] aaaabbaa=ab with [2] abb=c:

Critical pair: aaacaa=ab.

Flip LHS and RHS.

Defines rule #5.

Referenced by [4], [5].

Overlap of [2] abb=c with [3] ab=aaacaa:

Critical pair: aaacaab=c.

Reduce LHS:

Defines rule #3.

Referenced by [5], [6], [7].

Overlap of [4] aaacaaaacaa=c with [3] ab=aaacaa:

Critical pair: aaacaaaacaaaacaa=cb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

Overlap of [4] aaacaaaacaa=c with [4] aaacaaaacaa=c:

Critical pair: aaacac=caacaa.

Defines rule #1.

Overlap of [4] aaacaaaacaa=c with [4] aaacaaaacaa=c:

Critical pair: aaacaaaacc=cacaaaacaa.

Defines rule #2.