This paper introduces the concept of hierarchical cellular automata (HCA). The theory of HCA is developed over the Galois extension field (2 ), where each cell of the CA can store ...
Biplab K. Sikdar, Niloy Ganguly, Parimal Pal Chaud...
We generalize the model theory of small profinite structures developed by Newelski to the case of compact metric spaces considered together with compact groups of homeomorphisms a...
Abstract. We prove the correctness of a formalised realisability interpretation of extensions of first-order theories by inductive and coinductive definitions in an untyped λ-ca...
We propose an argumentation-based framework for representing communication theories of agents that can take into account dialogue strategies and society protocols in a way that fa...
We formalize the construction of Paterson’s variant of the Ajtai–Koml´os–Szemer´edi sorting network of logarithmic depth in the bounded arithmetical theory VNC1 ∗ (an ex...