Hereditary Rigid Relations.

Miguel Couceiro 1 Lucien Haddad 2 Maurice Pouzet 3 Karsten Schölzel 4
1 ORPAILLEUR - Knowledge representation, reasonning
Inria Nancy - Grand Est, LORIA - NLPKD - Department of Natural Language Processing & Knowledge Discovery
3 CTN - Combinatoire, théorie des nombres
ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : An h-ary relation ρ on a finite set A is said to be hereditarily rigid if the unary partial functions on A that preserve ρ are the subfunctions of the identity map or of constant maps. A family of relations F is said to be hereditarily strongly rigid if the partial functions on A that preserve every ρ ∈ F are the subfunctions of projections or constant functions. In this paper we show that hereditarily rigid relations exist and we give a lower bound on their arities. We also prove that no finite hereditarily strongly rigid families of relations exist and we also construct an infinite hereditarily strongly rigid family of relations.
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Conference papers
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https://hal.inria.fr/hal-01175699
Contributor : Miguel Couceiro <>
Submitted on : Saturday, July 11, 2015 - 6:14:57 PM
Last modification on : Monday, May 13, 2019 - 11:06:44 AM

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Miguel Couceiro, Lucien Haddad, Maurice Pouzet, Karsten Schölzel. Hereditary Rigid Relations.. 45th IEEE International Symposium on Multiple-Valued Logic (ISMVL 2015), May 2015, Waterloo, Canada. ⟨hal-01175699⟩

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