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Hereditary Rigid Relations.

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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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Dates and versions

hal-01175699 , version 1 (11-07-2015)

Identifiers

  • HAL Id : hal-01175699 , version 1

Cite

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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