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V - Higher-order semantic models

Published online by Cambridge University Press:  05 August 2014

Andrew W. Appel
With contributions by
Robert Dockins ,
Aquinas Hobor ,
Lennart Beringer ,
Josiah Dodds ,
Gordon Stewart ,
Sandrine Blazy  and
Xavier Leroy
Andrew W. Appel
Affiliation:
Princeton University, New Jersey
Robert Dockins
Affiliation:
Portland State University
Aquinas Hobor
Affiliation:
National University of Singapore
Lennart Beringer
Affiliation:
Princeton University, New Jersey
Josiah Dodds
Affiliation:
Princeton University, New Jersey
Gordon Stewart
Affiliation:
Princeton University, New Jersey
Sandrine Blazy
Affiliation:
Université de Rennes I, France
Xavier Leroy
Affiliation:
Institut National de Recherche en Informatique et en Automatique (INRIA), Rocquencourt
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Summary

Synopsis: Indirection theory gives a clean interface to higher-order step indexing. Many different semantic features of programming languages can be modeled in indirection theory. The models of indirection theory use dependent types to stratify quasirecursive predicates, thus avoiding paradoxes of self-reference. Lambda calculus with mutable references serves as a case study to illustrate the use of indirection theory models.

When defining both Indirection and Separation one must take extra care to ensure that aging commutes over separation. We demonstrate how to build an axiomatic semantics with using higher-order separation logic, for the pointer/continuation language introduced in the case study of Part II.

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Program Logics for Certified Compilers , pp. 294
Publisher: Cambridge University Press
Print publication year: 2014

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