Clones of partial cofunctions

Research output: Contribution to journalConference articleContributedpeer-review

Contributors

Abstract

We introduce and study clones of partial cofunctions on sets of arbitrary cardinality. In the process, we outline a general Galois theory similar to Pol-Inv, show some elementary results about the essential arity of clones of partial cofunctions, take a closer look at partial idempotent cofunctions, characterize all minimal clones of partial cofunctions, and show that the join of all minimal clones is the full clone (provided that the Axiom of Choice is assumed).

Details

Original languageEnglish
Pages (from-to)186-191
Number of pages6
JournalProceedings of The International Symposium on Multiple-Valued Logic
Publication statusPublished - 2013
Peer-reviewedYes

Conference

Title2013 IEEE 43rd International Symposium on Multiple-Valued Logic, ISMVL 2013
Duration22 - 24 May 2013
CityToyama
CountryJapan

Keywords

Keywords

  • clone, coclone, Galois connection, partial cofunction