Certificate for #3983 ⟨a, b | aaababaaa=aa

Completion settings:

[1] aaababaaa=aa

Axiom: aaababaaa=aa.

Referenced by [2], [3].

[2] aababaaa=aaababaa

Overlap of [1] aaababaaa=aa with [1] aaababaaa=aa:

aaabab aaa aaababaaa

Critical pair: aaababaa=aababaaa.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[3] aaaababaa=aa

Overlap of [1] aaababaaa=aa with [2] aababaaa=aaababaa:

aaababaa a aababaaa

Critical pair: aaababaaaaababaa=aaababaaa.

Reduce LHS:

[1](aaababaaa)aababaa
aaaababaa

Reduce RHS:

[1](aaababaaa)
aa

Defines rule #2.