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Mathematics > Logic

arXiv:1804.08449 (math)
[Submitted on 23 Apr 2018]

Title:Residuation algebras with functional duals

Authors:Wesley Fussner, Alessandra Palmigiano
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Abstract:We employ the theory of canonical extensions to study residuation algebras whose associated relational structures are functional, i.e., for which the ternary relations associated to the expanded operations admit an interpretation as (possibly partial) functions. Providing a partial answer to a question of Gehrke, we demonstrate that no universal first-order sentence in the language of residuation algebras is equivalent to the functionality of the associated relational structures.
Subjects: Logic (math.LO)
Cite as: arXiv:1804.08449 [math.LO]
  (or arXiv:1804.08449v1 [math.LO] for this version)
  https://doi.org/10.48550/arXiv.1804.08449

Submission history

From: D. Wesley Fussner [view email]
[v1] Mon, 23 Apr 2018 14:05:15 UTC (8 KB)
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