By Gilles Barthe, Peter Dybjer, Luis Pinto, João Saraiva
This publication is predicated on fabric awarded on the foreign summer time university on utilized Semantics that came about in Caminha, Portugal, in September 2000. We target to provide a few contemporary advancements in programming language study, either in semantic idea and in implementation, in a sequence of graduate-level lectures. the college was once backed via the ESPRIT operating staff 26142 on utilized Semantics(APPSEM),whichoperatedbetweenApril1998andMarch2002.The function of this operating team used to be to compile prime reseachers, either in semantic idea and in implementation, with the speci?c goal of bettering the communique among theoreticians and practitioners. TheactivitiesofAPPSEMwerestructuredintonineinterdisciplinarythemes: A: Semantics for object-oriented programming B: software structuring C: Integration of sensible languages and evidence assistants D: Veri?cation equipment E: automated application transformation F: video games, sequentiality, and summary machines G: varieties and kind inference in programming H: Semantics-based optimization I: area conception and genuine quantity computation those topics have been identi?ed as promising for pro?table interplay among semantic idea and perform, and have been selected to give a contribution to the subsequent normal issues: – description of present programming language beneficial properties; – layout of latest programming language positive aspects; – implementation and research of programming languages; – transformation and iteration of courses; – veri?cation of courses. The chapters during this quantity provide examples of modern advancements masking a vast diversity of themes of curiosity to APPSEM.
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Extra info for Applied Semantics: International Summer School, APPSEM 2000 Caminha, Portugal, September 9–15, 2000 Advanced Lectures
M does. It exists in programming languages like SCHEME, where it is written as (call/cc (lambda (k) M ))). M | E E1 | E2 [[ ]N ] → → M [k ← N | E1 E] |E The second rule throws away the current evaluation context E2 and replaces it with a context E1 captured earlier using the ﬁrst rule. Note that N is unevaluated (compare with the rule for λ which swaps function and argument). We illustrate the new primitives through some examples. First, consider the function that takes as input a list of integers and returns the product of the elements of the list.
Curry-Howard . . . . . . . . . . . . . . . . . . . . . . . . . Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 126 130 135 A Simple Call-by-Value Evaluator Consider the following simple functional programming language, whose data types are (nonnegative) integers and lists. M . M denotes a recursive function deﬁnition. M )). G. Barthe et al. ): Applied Semantics, LNCS 2395, pp.
P. Martin-L¨ of. A theory of types. Technical Report, Stockholm University, February 1971. 91. P. Martin-L¨ of. An intuitionistic theory of types. Unpublished Manuscript, 1972. 92. P. Martin-L¨ of. Intuitionistic Type Theory, volume 1 of Studies in Proof Theory. Bibliopolis, Naples, 1984. 93. P. Martin-L¨ of. Constructive mathematics and computer programming. In C. A. R. Hoare and J. C. Shepherdson, editors, Mathematical Logic and Programming Languages, pages 167–184. Prentice-Hall, 1985. 94. C.
Applied Semantics: International Summer School, APPSEM 2000 Caminha, Portugal, September 9–15, 2000 Advanced Lectures by Gilles Barthe, Peter Dybjer, Luis Pinto, João Saraiva