Gaifman's normal form theorem showed that every first order sentence of quantifier rank n is equivalent to a Boolean combination of "scattered local sentences", whe...
Locality notions in logic say that the truth value of a formula can be determined locally, by looking at the isomorphism type of a small neighborhood of its free variables. Such n...
We study a special class of binary trees. Our results have implications on Maker/Breaker games and SAT: We disprove a conjecture of Beck on positional games and construct an unsati...