Bezem, Marc and Nakata, Keiko and Uustalu, Tarmo - On streams that are finitely red

lmcs:1048 - Logical Methods in Computer Science, October 10, 2012, Volume 8, Issue 4 - https://doi.org/10.2168/LMCS-8(4:4)2012
On streams that are finitely red

Authors: Bezem, Marc and Nakata, Keiko and Uustalu, Tarmo

Mixing induction and coinduction, we study alternative definitions of streams being finitely red. We organize our definitions into a hierarchy including also some well-known alternatives in intuitionistic analysis. The hierarchy collapses classically, but is intuitionistically of strictly decreasing strength. We characterize the differences in strength in a precise way by weak instances of the Law of Excluded Middle.


Volume: Volume 8, Issue 4
Published on: October 10, 2012
Submitted on: May 24, 2011
Keywords: Computer Science - Logic in Computer Science,F.4.1


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