Certified Computation

This paper introduces the notion of certified computation. A certified computation does not only produce a result r, but also a correctness certificate, which is a formal proof that r is correct. This can greatly enhance the credibility of the result: if we trust the axioms and inference rules that...

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Main Author: Arkoudas, Konstantine
Language:en_US
Published: 2004
Online Access:http://hdl.handle.net/1721.1/6077
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author Arkoudas, Konstantine
author_facet Arkoudas, Konstantine
author_sort Arkoudas, Konstantine
collection MIT
description This paper introduces the notion of certified computation. A certified computation does not only produce a result r, but also a correctness certificate, which is a formal proof that r is correct. This can greatly enhance the credibility of the result: if we trust the axioms and inference rules that are used in the certificate,then we can be assured that r is correct. In effect,we obtain a trust reduction: we no longer have to trust the entire computation; we only have to trust the certificate. Typically, the reasoning used in the certificate is much simpler and easier to trust than the entire computation. Certified computation has two main applications: as a software engineering discipline, it can be used to increase the reliability of our code; and as a framework for cooperative computation, it can be used whenever a code consumer executes an algorithm obtained from an untrusted agent and needs to be convinced that the generated results are correct. We propose DPLs (Denotational Proof Languages)as a uniform platform for certified computation. DPLs enforce a sharp separation between logic and control and over versatile mechanicms for constructing certificates. We use Athena as a concrete DPL to illustrate our ideas, and we present two examples of certified computation, giving full working code in both cases.
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spelling mit-1721.1/60772019-04-12T08:28:59Z Certified Computation Arkoudas, Konstantine This paper introduces the notion of certified computation. A certified computation does not only produce a result r, but also a correctness certificate, which is a formal proof that r is correct. This can greatly enhance the credibility of the result: if we trust the axioms and inference rules that are used in the certificate,then we can be assured that r is correct. In effect,we obtain a trust reduction: we no longer have to trust the entire computation; we only have to trust the certificate. Typically, the reasoning used in the certificate is much simpler and easier to trust than the entire computation. Certified computation has two main applications: as a software engineering discipline, it can be used to increase the reliability of our code; and as a framework for cooperative computation, it can be used whenever a code consumer executes an algorithm obtained from an untrusted agent and needs to be convinced that the generated results are correct. We propose DPLs (Denotational Proof Languages)as a uniform platform for certified computation. DPLs enforce a sharp separation between logic and control and over versatile mechanicms for constructing certificates. We use Athena as a concrete DPL to illustrate our ideas, and we present two examples of certified computation, giving full working code in both cases. 2004-10-04T14:37:40Z 2004-10-04T14:37:40Z 2001-04-30 AIM-2001-007 http://hdl.handle.net/1721.1/6077 en_US AIM-2001-007 1923011 bytes 286231 bytes application/postscript application/pdf application/postscript application/pdf
spellingShingle Arkoudas, Konstantine
Certified Computation
title Certified Computation
title_full Certified Computation
title_fullStr Certified Computation
title_full_unstemmed Certified Computation
title_short Certified Computation
title_sort certified computation
url http://hdl.handle.net/1721.1/6077
work_keys_str_mv AT arkoudaskonstantine certifiedcomputation