<div dir="ltr">Is there a computable/decidable/syntactic (and also complete) characterization of what's provable with J but not K? (Alternatively, is there an algorithm for transforming proofs using K into proofs using only J whenever they exist?)<div>
<br></div><div>-Jason</div><div class="gmail_extra"><br><br><div class="gmail_quote">
On Fri, Nov 29, 2013 at 2:01 PM, Altenkirch Thorsten <span dir="ltr"><<a href="mailto:psztxa@exmail.nottingham.ac.uk" target="_blank" onclick="window.open('https://mail.google.com/mail/?view=cm&tf=1&to=psztxa@exmail.nottingham.ac.uk&cc=&bcc=&su=&body=','_blank');return false;">psztxa@exmail.nottingham.ac.uk</a>></span> wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
Shouldn't the semantics simply be that you can only prove things you can<br>
prove using only J but not K?<br>
<br>
Thorsten<br>
<div><div><br>
On 29/11/2013 17:36, "Andreas Abel" <<a href="mailto:andreas.abel@ifi.lmu.de" target="_blank" onclick="window.open('https://mail.google.com/mail/?view=cm&tf=1&to=andreas.abel@ifi.lmu.de&cc=&bcc=&su=&body=','_blank');return false;">andreas.abel@ifi.lmu.de</a>> wrote:<br>
<br>
>On 29.11.2013 18:11, Harley D. Eades III wrote:<br>
>> On Nov 29, 2013, at 5:00 AM, Nils Anders Danielsson <<a href="mailto:nad@cse.gu.se" target="_blank" onclick="window.open('https://mail.google.com/mail/?view=cm&tf=1&to=nad@cse.gu.se&cc=&bcc=&su=&body=','_blank');return false;">nad@cse.gu.se</a>><br>
>>wrote:<br>
>>> On 2013-11-28 23:34, Andreas Abel wrote:<br>
>>>> Yes, some of the fail test cases seem only to be there to document<br>
>>>> what *is* rejected. I do not know what purpose this serves, since I<br>
>>>> would expect only stuff there that *must be* rejected.<br>
>>><br>
>>> The point is that the semantics of --without-K should not be changed by<br>
>>> accident. These examples "must" be rejected until we make a conscious<br>
>>> decision to change the semantics.<br>
>><br>
>> Where is the semantics of --without-K formally written down?<br>
><br>
>There is not much written. The documentation of the --without-K<br>
>variants is in the respective release notes.<br>
><br>
>Cheers,<br>
>Andreas<br>
><br>
><br>
>--<br>
>Andreas Abel <>< Du bist der geliebte Mensch.<br>
><br>
>Theoretical Computer Science, University of Munich<br>
>Oettingenstr. 67, D-80538 Munich, GERMANY<br>
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