Over the years, proof systems for propositional satisfiability (SAT)
have been extensively studied. Recently, proof systems for
quantified Boolean formulas (QBFs) have also been gaining attention.
Q-resolution is a calculus enabling producing proofs from
DPLL-based QBF solvers. While DPLL has become a dominating technique
for SAT, QBF has been tackled ... more >>>

A signed majority function is a linear threshold function $f : \{+1,1\}^n \to \{+1,1\}$ of the form
$f(x)={\rm sign}(\sum_{i=1}^n \sigma_i x_i)$ where each $\sigma_i \in \{+1,-1\}.$ Signed majority functions are a highly symmetrical subclass of the class of all linear threshold functions, which are functions of the form ${\rm ... more >>>

Given a set of items and a collection of players, each with a nonnegative monotone valuation set function over the items,
the welfare maximization problem requires that every item be allocated to exactly one player,
and one wishes to maximize the sum of values obtained by the players,
as computed ... more >>>