Francesco Ranzato - A new characterization of complete Heyting and co-Heyting algebras

lmcs:3931 - Logical Methods in Computer Science, September 14, 2017, Volume 13, Issue 3 - https://doi.org/10.23638/LMCS-13(3:25)2017
A new characterization of complete Heyting and co-Heyting algebrasArticle

Authors: Francesco Ranzato

We give a new order-theoretic characterization of a complete Heyting and co-Heyting algebra $C$. This result provides an unexpected relationship with the field of Nash equilibria, being based on the so-called Veinott ordering relation on subcomplete sublattices of $C$, which is crucially used in Topkis' theorem for studying the order-theoretic stucture of Nash equilibria of supermodular games.

Comment: To appear in Logical Methods in Computer Science

https://doi.org/10.23638/LMCS-13(3:25)2017
Source: arXiv.org:1504.03919
Volume: Volume 13, Issue 3
Published on: September 14, 2017
Imported on: September 14, 2017
Keywords: Computer Science - Logic in Computer Science, Mathematics - Rings and Algebras, F.3.0
Licence: arXiv.org - Non-exclusive license to distribute

Classifications

Mathematics Subject Classification 20201
Sources:
  • [1] zbMATH Open.

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