From: "Vasili I. Galchin" <vigalchin@gmail.com>
To: Categories mailing list <categories@mta.ca>
Subject: "classical" computability theory and the category of Sets
Date: Wed, 2 Jul 2014 12:55:11 -0500 [thread overview]
Message-ID: <E1X2x6l-00011m-4K@mlist.mta.ca> (raw)
Hello Cat Theory list,
Please be gentle.
In the past I studied computability theory. It seems to me that
this theory is built on the category of Sets(elementary topos), i.e.
this computability theory assumes using classical logic with LEM and
boolean subobject classifier for concepts like semi-decidability, etc.
Is there a notion of intuitionistic computability theory built on
other topoi where LEM is absent from the accompanying higher logic and
the topos' subobject classifier has a internal Heyting algebra(that is
not boolean)?? Is this what realizibility delves into(I have yet to
study realizibility concepts).
Kind regards,
Vasya
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2014-07-02 17:55 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
2014-07-02 17:55 Vasili I. Galchin [this message]
2014-07-04 13:20 ` Michael Barr
2014-07-06 5:00 ` Hiroyuki Miyoshi
[not found] ` <CABLJ2v+Fe_jt3D8vwhASB7Ar6m0x=XsOf-ovZt0PZ_MH8WMhBA@mail.gmail.com>
2014-07-06 12:45 ` Michael Barr
2014-07-06 22:07 ` Rich Hilliard
2014-07-06 22:58 ` Robin Cockett
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