Certificate for #1908 ⟨a, b | aaabbaaa=aa

Completion settings:

[1] aaabbaaa=aa

Axiom: aaabbaaa=aa.

Referenced by [2], [3].

[2] aabbaaa=aaabbaa

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

aaabb aaa aaabbaaa

Critical pair: aaabbaa=aabbaaa.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[3] aaaabbaa=aa

Overlap of [1] aaabbaaa=aa with [2] aabbaaa=aaabbaa:

aaabbaa a aabbaaa

Critical pair: aaabbaaaaabbaa=aaabbaaa.

Reduce LHS:

[1](aaabbaaa)aabbaa
aaaabbaa

Reduce RHS:

[1](aaabbaaa)
aa

Defines rule #2.