Download e-book for kindle: Mathematics of Program Construction: 7th International by Greg Nelson (auth.), Dexter Kozen (eds.)

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.

Show description

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

Best mathematics books

Read e-book online The Everything Guide to Calculus I: A step by step guide to PDF

Calculus is the root of all complex technological know-how and math. however it could be very intimidating, particularly if you're studying it for the 1st time! If discovering derivatives or figuring out integrals has you stumped, this ebook can advisor you thru it. This integral source deals countless numbers of perform routines and covers all of the key suggestions of calculus, together with: Limits of a functionality Derivatives of a functionality Monomials and polynomials Calculating maxima and minima Logarithmic differentials Integrals discovering the amount of irregularly formed gadgets via breaking down hard techniques and proposing transparent reasons, you'll solidify your wisdom base--and face calculus with out worry!

Download e-book for iPad: Sobolev Spaces in Mathematics II: Applications in Analysis by Vasilii Babich (auth.), Prof. Vladimir Maz'ya (eds.)

Sobolev areas turn into the proven and common language of partial differential equations and mathematical research. between an immense number of difficulties the place Sobolev areas are used, the subsequent very important themes are within the concentration of this quantity: boundary price difficulties in domain names with singularities, greater order partial differential equations, neighborhood polynomial approximations, inequalities in Sobolev-Lorentz areas, functionality areas in mobile domain names, the spectrum of a Schrodinger operator with damaging power and different spectral difficulties, standards for the full integrability of structures of differential equations with purposes to differential geometry, a few features of differential types on Riemannian manifolds relating to Sobolev inequalities, Brownian movement on a Cartan-Hadamard manifold, and so forth.

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.

Download PDF sample

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


by Jason
4.1

Rated 4.26 of 5 – based on 13 votes