We extend Hagino's categorical datatypes with subtyping and a limited form of inheritance. The view of objects as coalgebras provides the inspiration for subtyping and inheritance for coalgebraic (or coinductive) types. Exploiting the duality between coalgebras and algebras then yields notions of subtyping and inheritance for algebraic (or inductive) types.

The Comprehensive, Computable NanoString Diagnostic gene panel (C2Dx) is a promising solution to address the need for molecular pathological research and diagnostic tool precision oncology utilizing small volume tumor specimens. We translate subtyping-related expression patterns of Non-Small Cell Lung Cancer (NSCLC) derived from public transcriptomic data which establish highly robust accurate ...

The integration of polymorphism (in the style of the ML let-construct), subtyping, and effects (modelling assignment or communication) into one common type system has proved remarkably difficult. One line of research has succeeded in integrating polymorphism and subtyping; adding effects in a straightforward way results in a semantically unsound system. Another line of research has succeeded in...

A Declarative Subtyping 6 A.1 Properties of Well-Formedness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1 Proposition (Weakening) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2 Proposition (Substitution) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 A.2 Reflexivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

Object-oriented systems are able to treat objects indirectly by message passing. This allows them to manipulate objects without knowing their exact runtime type. Behavioral subtyping helps one reason in a modular fashion about such programs. That is, one can reason based on the static types of expressions in a program, provided that static types are upper bounds of the runtime types in a subtyp...

Subtyping relations for the π-calculus are usually defined in a syntactic way, by means of structural rules. We propose a semantic characterisation of channel types and use it to derive a subtyping relation. The type system we consider includes read-only and write-only channel types, as well as boolean combinations of types. A set-theoretic interpretation of types is provided, in which boolean ...

This is a study of the computing power subtyping machine behind Kennedy and Pierce's nominal with variance. We depict lattice fragments type system characterize their in terms regular, context-free, deterministic, non-deterministic tree languages. Based on theory, we present Treetop---a generator C# implementations machines. The software artifact constitutes first feasible (yet POC) fluent API ...