A relational perspective on types with laws
نویسندگان
چکیده
With relational transformational programming in mind, an extension of a \law-less" relational theory of datatypes is proposed in order to study and manipulate quotient types within a Tarski-like calculus of relations. The extended notion of type, pertype (from partial equivalence relation), is shown to admit a complete lattice structure by constructing the order via a Galois connection. A pertyping of relations is developed and inductive pertypes generated by equations are discussed. Pertypes do occur in model theory for-calculus but we are unaware of manipulations with inductive \lawful" types based on a simple relational calculus.
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