# Publication details

##
Step-indexed Relational Reasoning for Countable Nondeterminism

Jan Schwinghammer, Lars Birkedal

Computer Science Logic (CSL'11), pp. 512-524, Leibniz International Proceedings in Informatics (LIPIcs), September 2011

Programming languages with countable nondeterministic choice are
computationally interesting since countable nondeterminism arises
when modeling fairness for concurrent systems.
Because countable choice introduces non-continuous behaviour, it is
well-known that developing semantic models for programming languages
with countable nondeterminism is challenging.
We present a step-indexed logical relations model of a higher-order functional
programming language with countable nondeterminism and demonstrate
how it can be used to reason about contextually defined may- and
must-equivalence.
In earlier step-indexed models, the indices have been drawn from
omega. Here the step-indexed relations for must-equivalence
are indexed over an ordinal greater than omega.

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@INPROCEEDINGS{SchwinghammerBirkedal:2011:Step-indexed,
title = {Step-indexed Relational Reasoning for Countable Nondeterminism},
author = {Jan Schwinghammer and Lars Birkedal},
year = {2011},
month = {Sep},
editor = {Marc Bezem},
publisher = {Leibniz International Proceedings in Informatics (LIPIcs)},
booktitle = {Computer Science Logic (CSL'11)},
pages = {512-524},
}

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