Certificate for #5235 ⟨a, b | aabbaba=bbaa

Completion settings:

[1] aabbaba=bbaa

Axiom: aabbaba=bbaa.

Referenced by [3].

[2] ba=c

Axiom: ba=c.

Defines rule #1.

Referenced by [3], [4].

[3] aabbaba=bca

Simplify [1] aabbaba=bbaa.

Reduce RHS:

[2]b(ba)a
bca

Referenced by [4].

[4] bca=aabcc

Overlap of [3] aabbaba=bca with [2] ba=c:

aab baba ba

Critical pair: aabcba=bca.

Reduce LHS:

[2]aabc(ba)
aabcc

Flip LHS and RHS.

Defines rule #2.