A monoid is a set $S$ together with a binary operation $\cdot:S \times S \rightarrow S$ such that: The binary operation $\cdot$ is associative, that is, $(a\cdot b) \cdot c=a\cdot (b \cdot c)$ for ...
By theorems, I mean the ones you can find in an undergraduate course of mathematics, not the ones you can find in a textbook of automated proofs. I mean by "proved by a computer" that an existing ...
The Wikipedia page on automated theorem proving states: Despite these theoretical limits, in practice, theorem provers can solve many hard problems... However it is not clear whether these 'hard ...
In first order logic we often convert prenex normal form statements to Skolem normal form statements to eliminate the existential quantifier: $\exists$x$\forall$y$\exists$z$\phi$(x,y,z) becomes ...