Certificate for #5664 ⟨a, b | aabaab=baabb⟩

Back:⟨a, b | aabaab=baabb⟩

Completion settings:

[1] aabaab=baabb

Axiom: aabaab=baabb.

Referenced by [3].

[2] aab=c

Axiom: aab=c.

Defines rule #1.

Referenced by [3], [4], [5].

[3] aabaab=bcb

Simplify [1] aabaab=baabb.

Reduce RHS:

[2]b(aab)b
⇒ bcb

Referenced by [4].

[4] bcb=cc

Overlap of [3] aabaab=bcb with [2] aab=c:

aabaab aab

Critical pair: caab=bcb.

Reduce LHS:

[2]c(aab)
⇒ cc

Flip LHS and RHS.

Defines rule #2.

Referenced by [5], [6].

[5] aacc=ccb

Overlap of [2] aab=c with [4] bcb=cc:

aa b bcb

Critical pair: aacc=ccb.

Defines rule #3.

[6] bccc=cccb

Overlap of [4] bcb=cc with [4] bcb=cc:

bc b bcb

Critical pair: bccc=cccb.

Defines rule #4.