According to the wikipedia pages of
https://en.wikipedia.org/wiki/Quine%E2%80%93McCluskey_algorithm
and
https://en.wikipedia.org/wiki/Buchberger%27s_algorithm
These two algorithms are analogous to each other but Wikipedia does not provide further explanation or any comparison criterias.
My question is why Quine–McCluskey algorithm is considered as an analogous to Buchberger's algorithm ?
If this is true then there is an interesting consequences
Notice that there is a step in the Quine–McCluskey algorithm that required us to solve and NP-hard problem called "The set covering" problem. I am also wondering that what would be the equivalence NP-hard problem that the Buchberger's algorithm required us to solve under the assumption that Quine–McCluskey algorithm and Buchberger's algorithm is analogous ?
Thank you for your enthusiasm