Intersection types and bounded quantiication are complementary extensions of a rst-order programming language with subtyping. We deene a typed-calculus combining these extensions, illustrate its unusual properties, and develop basic proof-theoretic and semantic results leading to algorithms for subtyping and typechecking.

Psychiatric diagnosis suffers from being based on phenomenology and not on pathophysiology. Data are presented showing that psychiatric patients reveal consistent quantitative electroencephalographic abnormalities, such that they can be separated from normals and from each other. Clustering these pathophysiological groupings reveals an underlying variability, which permits useful subtyping. Dat...

While generalized abstract datatypes (GADT) are now considered well-understood, adding them to a language with a notion of subtyping comes with a few surprises. What does it mean for a GADT parameter to be covariant? The answer turns out to be quite subtle. It involves fine-grained properties of the subtyping relation that raise interesting design questions. We allow variance annotations in GAD...

MOTIVATION Subtyping cancer is key to an improved and more personalized prognosis/treatment. The increasing availability of tumor related molecular data provides the opportunity to identify molecular subtypes in a data-driven way. Molecular subtypes are defined as groups of samples that have a similar molecular mechanism at the origin of the carcinogenesis. The molecular mechanisms are reflecte...

Purpose: This study aimed to evaluate the relationship between strain elastography and immunohistochemical markers, histologic grade, molecular subtyping in invasive breast cancer.
 Materials Methods: The relationships index values progesterone receptor, estrogen human epidermal growth factor receptor 2, Ki-67, subtype 171 patients who had not received neoadjuvant treatment underwent breas...

9 union types and existential types as well as intersection types; a similar observation is in 12] where, rather than interpreting types as sets of terms in SN, types are interpreted as sets of values (with respect to a speciied evaluation relation) of terms in SN. In 12] it is shown how this approach yields clean normalization proofs for many powerful extensions of system F 2 , including sever...