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math.LO2023
Locally Integral Involutive PO-Semigroups
José Gil-Férez, Peter Jipsen, Melissa Sugimoto
We show that every locally integral involutive partially ordered semigroup (ipo-semigroup) , and in particular every locally integral involutive…
math.RA2023
-preclones and the Galois connection -, Part I
Peter Jipsen, Erkko Lehtonen, Reinhard Pöschel
We consider -operations in which each argument is assigned a signum representing a "property" such as being order-preserving or order-reversing…
cs.LO2023
Representable and diagonally representable weakening relation algebras
Peter Jipsen, Jaš Šemrl
A binary relation defined on a poset is a weakening relation if the partial order acts as a both-sided compositional identity. This is motivated by the weakening rule in sequent ca…