InforLorV4, Main, Exploration, bibRecord, 000691

Partial clones containing all Boolean monotone self-dual partial functions

Identifieur interne : 000691 ( Main/Exploration ); précédent : 000690; suivant : 000692

Partial clones containing all Boolean monotone self-dual partial functions

Auteurs : Miguel Couceiro [France] ; Lucien Haddad [Canada] ; Ivo G. Rosenberg [Canada]

Source :

Journal of Multiple-Valued Logic and Soft Computing [ 1542-3980 ] ; 2015.

RBID : Hal:hal-01093942

Abstract

The study of partial clones on 2 := {0, 1} was initiated by R. V. Freivald. In his fundamental paper published in 1966, Freivald showed, among otherthings, that the set of all monotone partial functions and the set of all self-dual partial functions are both maximal partial clones on 2. Several papers dealing with intersections of maximal partial clones on 2 have appeared after Freivald work. It is known that there are infinitely many partial clones that contain the set of all monotone self-dual partial functions on 2, and the problem of describing them all was posed by some authors. In this paper we show that the set of partial clones that contain all monotone self-dual partial functions is of continuum cardinality on 2.

Url:

https://hal.archives-ouvertes.fr/hal-01093942

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 003B01
to stream Hal, to step Curation: 003B01
to stream Hal, to step Checkpoint: 000681
to stream Main, to step Merge: 000786
to stream Main, to step Curation: 000691

Le document en format XML

<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Partial clones containing all Boolean monotone self-dual partial functions</title>
<author><name sortKey="Couceiro, Miguel" sort="Couceiro, Miguel" uniqKey="Couceiro M" first="Miguel" last="Couceiro">Miguel Couceiro</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-205125" status="VALID"><idno type="RNSR">200818291B</idno>
<orgName>Knowledge  representation, reasonning</orgName>
<orgName type="acronym">ORPAILLEUR</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/equipes/orpailleur</ref>
</desc>
<listRelation><relation active="#struct-129671" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-423086" type="direct"></relation>
<relation active="#struct-206040" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
<tutelles><tutelle active="#struct-129671" type="direct"><org type="laboratory" xml:id="struct-129671" status="VALID"><idno type="RNSR">198618246Y</idno>
<orgName>INRIA Nancy - Grand Est</orgName>
<desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/nancy</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-423086" type="direct"><org type="department" xml:id="struct-423086" status="VALID"><orgName>Department of Natural Language Processing & Knowledge Discovery</orgName>
<orgName type="acronym">LORIA - NLPKD</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr/la-recherche-en/departements/Knowledge-and-Language-Management</ref>
</desc>
<listRelation><relation active="#struct-206040" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-206040" type="indirect"><org type="laboratory" xml:id="struct-206040" status="VALID"><idno type="IdRef">067077927</idno>
<idno type="RNSR">198912571S</idno>
<idno type="IdUnivLorraine">[UL]RSI--</idno>
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-413289" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-413289" type="indirect"><org type="institution" xml:id="struct-413289" status="VALID"><idno type="IdRef">157040569</idno>
<idno type="IdUnivLorraine">[UL]100--</idno>
<orgName>Université de Lorraine</orgName>
<orgName type="acronym">UL</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-lorraine.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
</affiliation>
</author>
<author><name sortKey="Haddad, Lucien" sort="Haddad, Lucien" uniqKey="Haddad L" first="Lucien" last="Haddad">Lucien Haddad</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-130123" status="VALID"><orgName>Royal Military College of Canada</orgName>
<orgName type="acronym">RMCC</orgName>
<desc><address><addrLine>PO Box 17000, Stn Forces, Kingston, Ontario, Canada, K7K 7B4</addrLine>
<country key="CA"></country>
</address>
<ref type="url">http://www.rmc.ca/index-eng.php</ref>
</desc>
<listRelation><relation active="#struct-320486" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-320486" type="direct"><org type="institution" xml:id="struct-320486" status="VALID"><orgName>Royal Military College of Canada</orgName>
<desc><address><country key="CA"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Canada</country>
</affiliation>
</author>
<author><name sortKey="Rosenberg, Ivo G" sort="Rosenberg, Ivo G" uniqKey="Rosenberg I" first="Ivo G." last="Rosenberg">Ivo G. Rosenberg</name>
<affiliation wicri:level="1"><hal:affiliation type="institution" xml:id="struct-131774" status="VALID"><orgName>Université de Montréal [Montréal]</orgName>
<desc><address><addrLine>C.P. 6128, succursale Centre-ville Montréal (Québec)  H3C 3J7</addrLine>
<country key="CA"></country>
</address>
<ref type="url">http://www.umontreal.ca/</ref>
</desc>
</hal:affiliation>
<country>Canada</country>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:hal-01093942</idno>
<idno type="halId">hal-01093942</idno>
<idno type="halUri">https://hal.archives-ouvertes.fr/hal-01093942</idno>
<idno type="url">https://hal.archives-ouvertes.fr/hal-01093942</idno>
<date when="2015">2015</date>
<idno type="wicri:Area/Hal/Corpus">003B01</idno>
<idno type="wicri:Area/Hal/Curation">003B01</idno>
<idno type="wicri:Area/Hal/Checkpoint">000681</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">000681</idno>
<idno type="wicri:doubleKey">1542-3980:2015:Couceiro M:partial:clones:containing</idno>
<idno type="wicri:Area/Main/Merge">000786</idno>
<idno type="wicri:Area/Main/Curation">000691</idno>
<idno type="wicri:Area/Main/Exploration">000691</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">Partial clones containing all Boolean monotone self-dual partial functions</title>
<author><name sortKey="Couceiro, Miguel" sort="Couceiro, Miguel" uniqKey="Couceiro M" first="Miguel" last="Couceiro">Miguel Couceiro</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-205125" status="VALID"><idno type="RNSR">200818291B</idno>
<orgName>Knowledge  representation, reasonning</orgName>
<orgName type="acronym">ORPAILLEUR</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/equipes/orpailleur</ref>
</desc>
<listRelation><relation active="#struct-129671" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-423086" type="direct"></relation>
<relation active="#struct-206040" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
<tutelles><tutelle active="#struct-129671" type="direct"><org type="laboratory" xml:id="struct-129671" status="VALID"><idno type="RNSR">198618246Y</idno>
<orgName>INRIA Nancy - Grand Est</orgName>
<desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/nancy</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-423086" type="direct"><org type="department" xml:id="struct-423086" status="VALID"><orgName>Department of Natural Language Processing & Knowledge Discovery</orgName>
<orgName type="acronym">LORIA - NLPKD</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr/la-recherche-en/departements/Knowledge-and-Language-Management</ref>
</desc>
<listRelation><relation active="#struct-206040" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-206040" type="indirect"><org type="laboratory" xml:id="struct-206040" status="VALID"><idno type="IdRef">067077927</idno>
<idno type="RNSR">198912571S</idno>
<idno type="IdUnivLorraine">[UL]RSI--</idno>
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-413289" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-413289" type="indirect"><org type="institution" xml:id="struct-413289" status="VALID"><idno type="IdRef">157040569</idno>
<idno type="IdUnivLorraine">[UL]100--</idno>
<orgName>Université de Lorraine</orgName>
<orgName type="acronym">UL</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-lorraine.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
</affiliation>
</author>
<author><name sortKey="Haddad, Lucien" sort="Haddad, Lucien" uniqKey="Haddad L" first="Lucien" last="Haddad">Lucien Haddad</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-130123" status="VALID"><orgName>Royal Military College of Canada</orgName>
<orgName type="acronym">RMCC</orgName>
<desc><address><addrLine>PO Box 17000, Stn Forces, Kingston, Ontario, Canada, K7K 7B4</addrLine>
<country key="CA"></country>
</address>
<ref type="url">http://www.rmc.ca/index-eng.php</ref>
</desc>
<listRelation><relation active="#struct-320486" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-320486" type="direct"><org type="institution" xml:id="struct-320486" status="VALID"><orgName>Royal Military College of Canada</orgName>
<desc><address><country key="CA"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Canada</country>
</affiliation>
</author>
<author><name sortKey="Rosenberg, Ivo G" sort="Rosenberg, Ivo G" uniqKey="Rosenberg I" first="Ivo G." last="Rosenberg">Ivo G. Rosenberg</name>
<affiliation wicri:level="1"><hal:affiliation type="institution" xml:id="struct-131774" status="VALID"><orgName>Université de Montréal [Montréal]</orgName>
<desc><address><addrLine>C.P. 6128, succursale Centre-ville Montréal (Québec)  H3C 3J7</addrLine>
<country key="CA"></country>
</address>
<ref type="url">http://www.umontreal.ca/</ref>
</desc>
</hal:affiliation>
<country>Canada</country>
</affiliation>
</author>
</analytic>
<series><title level="j">Journal of Multiple-Valued Logic and Soft Computing</title>
<idno type="ISSN">1542-3980</idno>
<imprint><date type="datePub">2015</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass></textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">The study of partial clones on 2 := {0, 1} was initiated by R. V. Freivald. In his fundamental paper published in 1966, Freivald showed, among otherthings, that the set of all monotone partial functions and the set of all self-dual partial functions are both maximal partial clones on 2. Several papers dealing with intersections of maximal partial clones on 2 have appeared after Freivald work. It is known that there are infinitely many partial clones that contain the set of all monotone self-dual partial functions on 2, and the problem of describing them all was posed by some authors. In this paper we show that the set of partial clones that contain all monotone self-dual partial functions is of continuum cardinality on 2.</div>
</front>
</TEI>
<affiliations><list><country><li>Canada</li>
<li>France</li>
</country>
<region><li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement><li>Metz</li>
<li>Nancy</li>
</settlement>
<orgName><li>Université de Lorraine</li>
</orgName>
</list>
<tree><country name="France"><region name="Grand Est"><name sortKey="Couceiro, Miguel" sort="Couceiro, Miguel" uniqKey="Couceiro M" first="Miguel" last="Couceiro">Miguel Couceiro</name>
</region>
</country>
<country name="Canada"><noRegion><name sortKey="Haddad, Lucien" sort="Haddad, Lucien" uniqKey="Haddad L" first="Lucien" last="Haddad">Lucien Haddad</name>
</noRegion>
<name sortKey="Rosenberg, Ivo G" sort="Rosenberg, Ivo G" uniqKey="Rosenberg I" first="Ivo G." last="Rosenberg">Ivo G. Rosenberg</name>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Exploration

HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000691 | SxmlIndent | more

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000691 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     Hal:hal-01093942
   |texte=   Partial clones containing all Boolean monotone self-dual partial functions
}}

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022

	Serveur d'exploration sur la recherche en informatique en Lorraine
	Attention, ce site est en cours de développement ! Attention, site généré par des moyens informatiques à partir de corpus bruts. Les informations ne sont donc pas validées.

Serveur d'exploration sur la recherche en informatique en Lorraine

Partial clones containing all Boolean monotone self-dual partial functions

Partial clones containing all Boolean monotone self-dual partial functions

Source :

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri