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1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeNov 6th 2017
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexI just went to a talk on this next door in our Computer Science dept. by Marco Paviotti. He's recently joined Kent after finishing a PhD, [Denotational semantics in Synthetic Guarded Domain Theory](http://www.itu.dk/people/mpav/papers/paviotti-final-phd-thesis.pdf). Coincidently Bas just [pointed](https://nforum.ncatlab.org/discussion/6773/adjoint-logic/?Focus=66185#Comment_66185) me to a paper co-authored by Marco's supervisor [First steps in synthetic guarded domain theory: step-indexing in the topos of trees](http://www.itu.dk/~mogel/papers/lics2011.pdf). We don't have a great deal in this area. What can we add to [[domain theory]]?

   I just went to a talk on this next door in our Computer Science dept. by Marco Paviotti. He’s recently joined Kent after finishing a PhD, Denotational semantics in Synthetic Guarded Domain Theory. Coincidently Bas just pointed me to a paper co-authored by Marco’s supervisor First steps in synthetic guarded domain theory: step-indexing in the topos of trees.

   We don’t have a great deal in this area. What can we add to domain theory?

2. • CommentRowNumber2.
   • CommentAuthorspitters
   • CommentTimeNov 7th 2017
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   Author: spitters
   Format: MarkdownItexI think we can have a separate page on guarded dependent type theory. It has more applications than just [[synthetic domain theory]]. I can try to collect some references. We recently wrote a paper on guarded cubical type theory, which I'll add to [[cubical type theory]]. https://arxiv.org/abs/1611.09263. Ales Bizjak, now a postdoc in our group, recently completed his PhD thesis on guarded recursion. It includes a long introduction to the subject. http://www.cs.au.dk/~abizjak/documents/thesis/semantics-applications-gr.pdf

   I think we can have a separate page on guarded dependent type theory. It has more applications than just synthetic domain theory. I can try to collect some references. We recently wrote a paper on guarded cubical type theory, which I’ll add to cubical type theory. https://arxiv.org/abs/1611.09263.

   Ales Bizjak, now a postdoc in our group, recently completed his PhD thesis on guarded recursion. It includes a long introduction to the subject. http://www.cs.au.dk/~abizjak/documents/thesis/semantics-applications-gr.pdf

3. • CommentRowNumber3.
   • CommentAuthorDavid_Corfield
   • CommentTimeNov 7th 2017
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   Author: David_Corfield
   Format: MarkdownItexSo we'd perhaps need a page for 'guarded recursion' first? Would that be a starting point for entries involving guardedness?

   So we’d perhaps need a page for ’guarded recursion’ first? Would that be a starting point for entries involving guardedness?

4. • CommentRowNumber4.
   • CommentAuthorspitters
   • CommentTimeNov 7th 2017
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   Author: spitters
   Format: MarkdownItexThe introduction of this paper could be a start for guarded lamdba calculus/ guarded recursion: https://arxiv.org/abs/1606.09455

   The introduction of this paper could be a start for guarded lamdba calculus/ guarded recursion: https://arxiv.org/abs/1606.09455