By Greg Nelson (auth.), Dexter Kozen (eds.)
This booklet constitutes the refereed lawsuits of the seventh overseas convention at the arithmetic of software development, MPC 2004, held in Stirling, Scotland, united kingdom in July 2004.
The 19 revised complete papers offered have been rigorously reviewed and chosen from 37 submissions. one of the themes addressed are programming idea, programming method, application specification, application transformation, programming paradigms, programming calculi, and programming language semantics.
Read Online 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
52 Frank Atanassow and Johan Jeuring 9. Vladimir Gapeyev and Benjamin C. Pierce. Regular object types. In European Conference on Object-oriented Programming (ECOOP 2003), 2003. 10. C. Hermida. Representable multicategories. Advances in Mathematics, 151:164– 225, 2000. 11. Ralf Hinze, Johan Jeuring, and Andres Löh. Type-indexed data types. In Proceedings of the 6th Mathematics of Program Construction Conference, MPC’02, volume 2386 of LNCS, pages 148–174, 2002. 12. Haruo Hosoya and Benjamin C. Pierce.
In computer science, the use of type isomorphisms seem to have been popularized first by Rittri who demonstrated their value in software retrieval tasks, such as searching a software library for functions matching a query type . Since then the area has ballooned; good places to start on the theory of type isomorphisms is Di Cosmo’s book  and the paper by Bruce et al. . More recent work has focused on linear type isomorphisms [2, 33, 30, 20]. In category theory, Mac Lane initiated the study of coherence in a seminal paper ; his book  treats the case for monoidal categories.
1 Introduction Typed functional languages like Haskell  and ML [16,25] typically support the declaration of user-defined, polymorphic algebraic datatypes. In Haskell, for example, we might define a datatype representing dates in a number of ways. The most straightforward and conventional definition is probably the one given by Date below, but a more conscientious Dutch programmer might prefer Date_NL: An American programmer, on the other hand, might opt for Date_US, which follows the US date format: If the programmer has access to an existing library which can compute with dates given as Int-triples, though, he or she may prefer Date2, D.