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<meta http-equiv="Content-Type" content="text/html; charset=Windows-1252"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; color: rgb(0, 0, 0); font-size: 14px; font-family: Calibri, sans-serif;"><div>Yes, this is true.</div><div><br></div><div>However, it is not clear how to do symbolic evaluation with MP. That is if we have a hypothetical classical proof of termination this doesn’t tell us wether we can partially execute our program.</div><div>In the case of a constructive proof this is the case.</div><div><br></div><div>We could say that we can run the program if the proof is closed but this seems a bit weird.</div><div><br></div><div>What would be a good application of MP in programming?</div><div><br></div><div>Cheers,</div><div>Thorsten</div><div><br></div><div><br></div><span id="OLK_SRC_BODY_SECTION"><div style="font-family:Calibri; font-size:11pt; text-align:left; color:black; BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0in; PADDING-LEFT: 0in; PADDING-RIGHT: 0in; BORDER-TOP: #b5c4df 1pt solid; BORDER-RIGHT: medium none; PADDING-TOP: 3pt"><span style="font-weight:bold">From: </span> Dmytro Starosud <<a href="mailto:d.starosud@gmail.com">d.starosud@gmail.com</a>><br><span style="font-weight:bold">Date: </span> Tue, 1 Jul 2014 15:19:34 +0100<br><span style="font-weight:bold">To: </span> Sergei Meshveliani <<a href="mailto:mechvel@botik.ru">mechvel@botik.ru</a>><br><span style="font-weight:bold">Cc: </span> Agda mailing list <<a href="mailto:agda@lists.chalmers.se">agda@lists.chalmers.se</a>><br><span style="font-weight:bold">Subject: </span> Re: [Agda] termination by contradiction<br></div><div><br></div><div dir="ltr"><div><div>Markov axiom (for Nat) doesn't leed to a total excluded third.<br>Constructive logic together with Markov axiom (for Nat) is still constructive.<br></div>Here is really nice <a href="http://scs.hosted.panopto.com/Panopto/Pages/Sessions/List.aspx#folderID=%2207756bb0-b872-4a4a-95b1-b77ad206dab3%22">course</a> (and <a href="http://homotopytypetheory.org/book/">book</a>) explaining in very deep details all that stuff with constructive vs classic vs whatever.<br><br></div>Dmytro <br></div></span>
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