By Greg Nelson (auth.), Dexter Kozen (eds.)

ISBN-10: 3540223800

ISBN-13: 9783540223801

ISBN-10: 3540277641

ISBN-13: 9783540277644

This e-book constitutes the refereed lawsuits of the seventh foreign convention at the arithmetic of application building, MPC 2004, held in Stirling, Scotland, united kingdom in July 2004.

The 19 revised complete papers awarded have been rigorously reviewed and chosen from 37 submissions. one of the subject matters addressed are programming idea, programming method, application specification, software transformation, programming paradigms, programming calculi, and programming language semantics.

**Read or Download Mathematics of Program Construction: 7th International Conference, MPC 2004, Stirling, Scotland, UK, July 12-14, 2004. Proceedings PDF**

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**Additional resources for Mathematics of Program Construction: 7th International Conference, MPC 2004, Stirling, Scotland, UK, July 12-14, 2004. Proceedings**

**Sample text**

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.

### Mathematics of Program Construction: 7th International Conference, MPC 2004, Stirling, Scotland, UK, July 12-14, 2004. Proceedings by Greg Nelson (auth.), Dexter Kozen (eds.)

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