For digraphs G and H, a homomorphism of G to H is a mapping f : V (G)→V (H) such that uv ∈ A(G) implies f(u)f(v) ∈ A(H). If, moreover, each vertex u ∈ V (G) is associated ...
Arvind Gupta, Gregory Gutin, Mehdi Karimi, Eun Jun...
Abstract—In any formal theory, a proof is a sequence of well formed formulas (wff). Here, we consider the digraph whose nodes are proofs and the edges are pairs of proofs such t...
—The relevance of instruction parallelization and optimal event scheduling is currently increasing. In particular, because of the high amount of computational power available tod...
Abstract. In this paper we discuss the computational power of Lipschitz dynamical systems which are robust to infinitesimal perturbations. Whereas the study in [1] was done only f...
The paper focuses on the structure of fundamental sequences of ordinals smaller than ε0. A first result is the construction of a monadic second-order formula identifying a given ...