Certificate for #6676 ⟨a, b, c | aa=1, abcab=b⟩

Back:⟨a, b, c | aa=1, abcab=b⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #1.

Referenced by [3], [5].

[2] abcab=b

Axiom: abcab=b.

Referenced by [3], [4].

[3] bcab=ab

Overlap of [1] aa=1 with [2] abcab=b:

a a abcab

Critical pair: ab=bcab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

[4] abcb=ab

Overlap of [2] abcab=b with [2] abcab=b:

abc ab abcab

Critical pair: abcb=bcab.

Reduce RHS:

[3](bcab)
⇒ ab

Referenced by [5].

[5] bcb=b

Overlap of [1] aa=1 with [4] abcb=ab:

a a abcb

Critical pair: aab=bcb.

Reduce LHS:

[1](aa)b
⇒ b

Flip LHS and RHS.

Defines rule #2.