In this paper, we focus on the specific problems of Private Matching, Set Disjointness and Cardinality of Set Intersection in information theoretic settings. Specifically, we give perfectly secure protocols for the above problems in n party settings, tolerating a computationally unbounded semi-honest adversary, who can passively corrupt at most t < n/2 parties. To the best of our knowledge, the...

In this paper, we focus on the specific problems of Private Matching, Set Disjointness and Cardinality Set Intersection in information theoretic settings. Specifically, we give perfectly secure protocols for the above problems in n party settings, tolerating a computationally unbounded semi-honest adversary, who can passively corrupt at most t < n/2 parties. To the best of our knowledge, these ...

We characterize those intersection-type theories which yield complete intersection-type assignment systems for λ-calculi, with respect to the three canonical set-theoretical semantics for intersectiontypes: the inference semantics, the simple semantics and the F-semantics. These semantics arise by taking as interpretation of types subsets of applicative structures, as interpretation of the inte...

We describe a class of affine toric varieties V that are set-theoretically minimally defined by codimV + 1 binomial equations over fields of any characteristic.

We present a class of toric varieties V which, over any algebraically closed field of characteristic zero, are defined by codim V +1 binomial equations .

In this work, we shall present some novel process to measure the similarity between picture fuzzy sets. Firstly, we adopt the concept of intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets and picture fuzzy sets. Secondly, we develop some similarity measures between picture fuzzy sets, such as, cosine similarity measure, weighted cosine similarity measure, set-theoretic similar...