We study the theory of lovely pairs of geometric structures, in particular o-minimal structures. We characterize "linear" theories in terms of properties of the correspon...
A Rayleigh matroid is one which satisfies a set of inequalities analogous to the Rayleigh monotonicity property of linear resistive electrical networks. We show that every matroid...
A definition of nonstandard universe which gets over the limitation to the finite levels of the cumulative hierarchy is proposed. Though necessarily nonwellfounded, nonstandard ...
Timed and hybrid automata are extensions of finite-state machines for formal modeling of embedded systems with both discrete and continuous components. Reachability problems for t...
Rajeev Alur, Robert P. Kurshan, Mahesh Viswanathan
Abstract. We investigate the computational behaviour of `two-dimensional' propositional temporal logics over (N, <) (with and without the next-time operator ?) that are cap...