We develop and study the complexity of propositional proof systems of varying strength extending resolution by allowing it to operate with disjunctions of linear equations instead ...
System BV is an extension of multiplicative linear logic (MLL) with the rules mix, nullary mix, and a self-dual, non-commutative logical operator, called seq. While the rules mix ...
The continuum function F on regular cardinals is known to have great freedom; if , are regular cardinals, then F needs only obey the following two restrictions: (1) cf(F()) > ...
Abstract. We study the relationship between algebraic structures and their inverse semigroups of partial automorphisms. We consider a variety of classes of natural structures inclu...
Jennifer Chubb, Valentina S. Harizanov, Andrei S. ...
We show that for random bit strings, Up(n), with probability, p = 1 2 , the firstorder quantifier depth D(Up(n)) needed to distinguish non-isomorphic structures is (lg lg n), with...