By Gilles Barthe, Peter Dybjer, Luis Pinto, João Saraiva
This e-book is predicated on fabric provided on the overseas summer season institution on utilized Semantics that came about in Caminha, Portugal, in September 2000. We goal to give a few contemporary advancements in programming language study, either in semantic idea and in implementation, in a chain of graduate-level lectures. the varsity was once backed through the ESPRIT operating workforce 26142 on utilized Semantics(APPSEM),whichoperatedbetweenApril1998andMarch2002.The goal of this operating staff was once to collect prime reseachers, either in semantic thought 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 practical languages and facts assistants D: Veri?cation tools E: automated application transformation F: video games, sequentiality, and summary machines G: kinds and sort inference in programming H: Semantics-based optimization I: area idea and actual quantity computation those issues have been identi?ed as promising for pro?table interplay among semantic conception and perform, and have been selected to give a contribution to the subsequent normal subject matters: – description of latest programming language beneficial properties; – layout of recent programming language good points; – implementation and research of programming languages; – transformation and iteration of courses; – veri?cation of courses. The chapters during this quantity supply examples of contemporary advancements protecting a vast diversity of themes of curiosity to APPSEM.
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Additional info for Applied Semantics: International Summer School, APPSEM 2000 Caminha, Portugal, September 9–15, 2000 Advanced Lectures
Nolin, and M. Sch¨ utzenberger, editors, Proceedings of Symposium on Automatic Demonstration, volume 125 of Lecture Notes in Mathematics, pages 237–275. SpringerVerlag, 1970. 131. P. Severi. Type Inference for Pure Type Systems. Information and Computation, 143(1):1–23, May 1998. 132. Z. Shao, B. Saha, V. Trifonov, and N. Papaspyrou. A type system for certiﬁed binaries. In Proceedings of POPL’02, pages 217–232. ACM Press, 2002. 133. M. H. Sørensen and P. Urzyczyn. Lectures on the Curry-Howard Isomorphism.
Decidability of Type Checking and Type Inference. The introduction of datatypes in the language yields new diﬃculties for type inference and type checking. Two problems arise: the ﬁrst problem, which arises in a non-dependent setting, is that one needs to deﬁne a decidable equality between datatypes. The second problem, which occurs in a dependent setting only, is that checking convertibility between types may require computing with recursive functions. We brieﬂy expose both problems and their possible solutions.
Applied Semantics, LNCS 2395, pp. 123–136, 2002. c Springer-Verlag Berlin Heidelberg 2002 124 Pierre-Louis Curien Next, we specify an interpreter for the mini-language. The interpreter progressively transforms the whole program to be evaluated, and at each step maintains a pointer to a subprogram, in which the current work is done. [ ]] | E[[ ] → [ M , M ]] The notation should be read as follows: E is a term with a hole, and E[[ ]M ] is the context whose single occurrence of [ ] has been replaced by [ ]M : thus, in E[[ ]M ], the external square brackets refer to the hole of E, while the internal ones refer to the hole of E[[ ]M ].
Applied Semantics: International Summer School, APPSEM 2000 Caminha, Portugal, September 9–15, 2000 Advanced Lectures by Gilles Barthe, Peter Dybjer, Luis Pinto, João Saraiva