53 citations · 56 across the 7 of their papers we have counts for
7 papers
Physical Computing: A Category Theoretic Perspective on Physical Computation and System Compositionality
Nima Dehghani, Gianluca Caterina
This paper introduces a category theory-based framework to redefine physical computing in light of advancements in quantum computing and non-standard computing systems. By integrat…
Notes on a model for fuzzy computing
Vittorio Cafagna, Gianluca Caterina
In these notes we propose a setting for fuzzy computing in a framework similar to that of well-established theories of computation: boolean, and quantum computing. Our efforts have…
MV-algebras and measure: some examples
Gianluca Caterina, Vittorio Cafagna
We propose in this article a definition of a MV-algebra structure on a class of subsets of some probability spaces and we work-out some examples. Our intention is to convey, by mea…
Spectra of fuzzy sets of
Vittorio Cafagna, Gianluca Caterina
In this article we explore some aspects of Fourier analysis on fuzzy sets. This work was part of a broader project jointly with Professor Vittorio Cafagna which spanned over a few…
Forcing Iterated Admissibility in Strategic Belief Models
Fernando Tohmè, Gianluca Caterina, Rocco Gangle
Iterated admissibility (IA) can be seen as exhibiting a minimal criterion of rationality in games. In order to make this intuition more precise, the epistemic characterization of t…
An order-preserving property of additive invariant for Takesue-type reversible cellular automata
Gianluca Caterina, Bruce M. Boghosian
We show that, for a fairly large class of reversible, one-dimensional cellular automata, the set of additive invariants exhibits an algebraic structure. More precisely, if and…