Hyvernat, Pierre - Coherent and finiteness spaces

lmcs:1131 - Logical Methods in Computer Science, September 22, 2011, Volume 7, Issue 3
Coherent and finiteness spaces

Authors: Hyvernat, Pierre

This short note presents a new relation between coherent spaces and finiteness spaces. This takes the form of a functor from COH to FIN commuting with the additive and multiplicative structure of linear logic. What makes this correspondence possible and conceptually interesting is the use of the infinite Ramsey theorem. Along the way, the question of the cardinality of the collection of finiteness spaces on N is answered. Basic knowledge about coherent spaces and finiteness spaces is assumed.


Source : oai:arXiv.org:0905.4059
DOI : 10.2168/LMCS-7(3:15)2011
Volume: Volume 7, Issue 3
Published on: September 22, 2011
Submitted on: February 3, 2011
Keywords: Computer Science - Logic in Computer Science,Mathematics - Logic,F.4.1, F.3.2


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