We study the complexity of satisfiability and model-checking of the linear-time temporal logic with past (pltl). More precisely, we consider several fragments of pltl, depending o...
We present the first complete problems for dynamic complexity classes including the classes Dyn-FO and Dyn-ThC ¢ , the dynamic classes corresponding to relational calculus and (...
We formulate a formal syntax of approximate formulas for the logic with counting quantifiers, SOLP, studied by us in [1], where we showed the following facts: (i) In the presence ...
By viewing random 3-SAT as a distributional problem, we go over some of the notions of average-case complexity that were considered in the literature. We note that for dense formul...
We derive quadratic lower bounds on the ∗-complexity of sum-of-products-of-sums (ΣΠΣ) formulas for classes of polynomials f that have too few partial derivatives for the techn...