Algebraic Specialization of Generic Functions for Recursive Types

Algebraic Specialization of Generic Functions for Recursive Types

Defining functions over large, possibly recursive, data structures usually involves a lot of boilerplate. This code simply traverses non-interesting parts of the data, and rapidly becomes a maintainability problem. Many generic programming libraries have been proposed to address this issue. Most of them allow the user to specify the behavior just for the interesting bits of the structure, and p...

An Algebraic View on Recursive Types

An Algebraic Approach to the Interpretation of Recursive Types

We present an algebraic framework for the interpretation of type systems including type recursion, where types are interpreted as partial equivalence relations over a Scott domain. We use the notion of iterative algebra, introduced by J. Tiuryn [26] as a counterpart to the categorical notion of iterative algebraic theory by C.C. Elgot [15]. We show that a suitable collection of partial equivale...

A Novel Reference Current Calculation Method for Shunt Active Power Filters using a Recursive Algebraic Approach

This paper presents a novel method to calculate the reference source current and the referencecompensating current for shunt active power filters (SAPFs). This method first calculates theamplitude and phase of the fundamental load current from a recursive algebraic approach blockbefore calculating the displacement power factor. Next, the amplitude of the reference mains currentis computed with ...

Games for Recursive Types

We present results concerning the solution of recursive domain equations in the category G of games, which is a modiied version of the category presented in AJM94]. New constructions corresponding to lifting and separated sum for games are presented, and are used to generate games for two simple recursive types: the vertical and lazy natural numbers. Recently, the \game semantics" paradigm has ...