Certificate for #4034 ⟨a, b | aaabbbaaa=aa

Completion settings:

[1] aaabbbaaa=aa

Axiom: aaabbbaaa=aa.

Referenced by [2], [3].

[2] aabbbaaa=aaabbbaa

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

aaabbb aaa aaabbbaaa

Critical pair: aaabbbaa=aabbbaaa.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[3] aaaabbbaa=aa

Overlap of [1] aaabbbaaa=aa with [2] aabbbaaa=aaabbbaa:

aaabbbaa a aabbbaaa

Critical pair: aaabbbaaaaabbbaa=aaabbbaaa.

Reduce LHS:

[1](aaabbbaaa)aabbbaa
aaaabbbaa

Reduce RHS:

[1](aaabbbaaa)
aa

Defines rule #2.