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Is provably required to disambiguate a mapping. Implicit Coercions. Thatte introduced a declaration construct for introducing user-defined, implicit conversions between types [34], using, like us, an equational theory on types. Thatte also presents a principal type inference algorithm for his language, which requires that the equational theory is unitary, that is, every unifiable pair of types has a unique most general unifier. To ensure theories be unitary, Thatte demands they be finite and acyclic, and uses a syntactic condition related to, but different from, strong regularity to ensure finiteness.

Thatte introduced a declaration construct for introducing user-defined, implicit conversions between types [34], using, like us, an equational theory on types. Thatte also presents a principal type inference algorithm for his language, which requires that the equational theory is unitary, that is, every unifiable pair of types has a unique most general unifier. To ensure theories be unitary, Thatte demands they be finite and acyclic, and uses a syntactic condition related to, but different from, strong regularity to ensure finiteness.

Then their typings give a safe approximation of the constructors that are possibly generated by those expressions. This is stated by the following property. g. see [Pie02]. Proposition 13 Let Then Proof: By induction on the structure of The main result of this section shows that symbolic evaluation is adequate to remove constructors that are not contained in the typing statement of an expression. For traditional reasons we call this the deforestation property. Proposition 14 (Deforestation Property) Proof: By proposition 9, 13, and 10.

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