Download Applied Semantics: International Summer School, APPSEM 2000 by Gilles Barthe, Peter Dybjer, Luis Pinto, João Saraiva PDF

By Gilles Barthe, Peter Dybjer, Luis Pinto, João Saraiva

This e-book relies on fabric offered on the overseas summer season university on utilized Semantics that came about in Caminha, Portugal, in September 2000. We goal to give a few contemporary advancements in programming language examine, either in semantic idea and in implementation, in a sequence of graduate-level lectures. the college used to be backed through the ESPRIT operating workforce 26142 on utilized Semantics(APPSEM),whichoperatedbetweenApril1998andMarch2002.The goal of this operating workforce used to be to assemble best reseachers, either in semantic concept and in implementation, with the speci?c objective of bettering the conversation among theoreticians and practitioners. TheactivitiesofAPPSEMwerestructuredintonineinterdisciplinarythemes: A: Semantics for object-oriented programming B: software structuring C: Integration of sensible languages and facts assistants D: Veri?cation tools E: automated application transformation F: video games, sequentiality, and summary machines G: forms and kind inference in programming H: Semantics-based optimization I: area thought and genuine quantity computation those topics 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 basic subject matters: – description of latest programming language good points; – 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 overlaying a wide diversity of issues of curiosity to APPSEM.

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Read or Download Applied Semantics: International Summer School, APPSEM 2000 Caminha, Portugal, September 9–15, 2000 Advanced Lectures PDF

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Extra resources for Applied Semantics: International Summer School, APPSEM 2000 Caminha, Portugal, September 9–15, 2000 Advanced Lectures

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2 Gilles Barthe and Thierry Coquand DML DML is a dependently typed extension of ML developed by H. Xi and F. Pfenning [141, 145]. The original motivation behind DML is to use dependent types to carry useful information for optimizing legal ML programs [144, 142]. || that removes type dependencies maps legal DML judgments to legal ML judgments. Further, a legal DML expression e evaluates to a DML value v iff ||e|| evaluates to a ML value v , in which case ||v|| = v . The key feature of DML is to combine full recursion and dependent types while still enjoying decidability of type checking and a phase distinction [35].

J. Keisler, and K. Kunen, editors, Proceedings of the Kleene Symposium, volume 101 of Studies in Logic and the Foundations of Mathematics, pages 31–59. North-Holland, Amsterdam, 1980. An Introduction to Dependent Type Theory 35 6. P. Aczel. On Relating Type Theories and Set Theories. In T. Altenkirch, W. Naraschewski, and B. Reus, editors, Proceedings of TYPES’98, volume 1657 of Lecture Notes in Computer Science, pages 1–18. Springer-Verlag, 1999. 7. T. Altenkirch and C. McBride. Generic programming within dependently typed programming.

In this subsection, we give some examples of inductive definitions in type theory, and briefly discuss the influence of these definitions on termination and decidable type checking. Examples. Basic examples of inductive types include booleans, natural numbers and lists. We also present streams, which form a prime example of coinductive type. An Introduction to Dependent Type Theory 23 Booleans. The small type B : ∗ of booleans has two constructors tt : B and ff : B. Furthermore, the type B comes equipped with a recursor RB that can be used to define functions and prove properties on booleans.

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