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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.1...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
https://doi.org/10.1145/317624...
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POPLMark reloaded: mechanizing logical relations proofs (invited talk)

Authors: Brigitte Pientka;

POPLMark reloaded: mechanizing logical relations proofs (invited talk)

Abstract

Mechanizing formal systems, given via axioms and inference rules, together with proofs about them plays an important role in establishing trust in formal developments. Over the past decade, the POPLMark challenge popularized the use of proof assistants in mechanizing the metatheory of programming languages. Focusing on the the meta-theory of System F with subtyping, it allowed the programming languages community to survey existing techniques to represent and reason about syntactic structures with binders and promote the use of proof assistants. Today, mechanizing proofs is a stable fixture in the daily life of programming languages researchers. As a follow-up to the POPLMark Challenge, we propose a new collection of benchmarks that use proofs by logical relations. Such proofs are now used to attack problems in the theory of complex languages models, with applications to issues in equivalence of programs, compiler correctness, representation independence and even more intensional properties such as non-interference, differential privacy and secure multi-language inter-operability. Yet, they remain challenging to mechanize. In this talk, we focus on one particular challenge problem, namely strong normalization of a simply-typed lambda-calculus with a proof by Kripke-style logical relations. We will advocate a modern view of this well-understood problem by formulating our logical relation on well-typed terms. Using this case study, we share some of the lessons learned tackling this challenge problem in Beluga, a proof environment that supports higher-order abstract syntax encodings, first-class context and first-class substitutions. We also discuss and highlight similarities, strategies, and limitations in other proof assistants when tackling this challenge problem. We hope others will be motivated to submit solutions! The goal of this talk is to engage the community in discussions on what support in proof environments is needed to truly bring mechanized metatheory to the masses.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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