Certificate for #5252 ⟨a, b, c | aa=b, bccb=c⟩

Back:⟨a, b, c | aa=b, bccb=c⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #4.

Referenced by [2].

[2] aaccaa=c

Axiom: bccb=c.

Reduce LHS:

[1](b)ccb
[1]⇒ aacc(b)
⇒ aaccaa

Defines rule #2.

Referenced by [3], [4].

[3] cccaa=aaccc

Overlap of [2] aaccaa=c with [2] aaccaa=c:

aacc aa aaccaa

Critical pair: aaccc=cccaa.

Flip LHS and RHS.

Defines rule #1.

[4] caccaa=aaccac

Overlap of [2] aaccaa=c with [2] aaccaa=c:

aacca a aaccaa

Critical pair: aaccac=caccaa.

Flip LHS and RHS.

Defines rule #3.