We consider a general shuffling operation for finite and infinite words which is not necessarily fair. This means that it may be the case that in a shuffle of two words, from some point onwards, one of these words prevails ad infinitum even though the other word still has letters to contribute. Prefixes and limits of shuffles are investigated, leading to a characterization of general shuffles in terms of shuffles of finite words, a result which does not hold for fair shuffles. Associativity of shuffling is an immediate corollary.
Infinite unfair shuffles and associativity
ter Beek M. H.;
2007
Abstract
We consider a general shuffling operation for finite and infinite words which is not necessarily fair. This means that it may be the case that in a shuffle of two words, from some point onwards, one of these words prevails ad infinitum even though the other word still has letters to contribute. Prefixes and limits of shuffles are investigated, leading to a characterization of general shuffles in terms of shuffles of finite words, a result which does not hold for fair shuffles. Associativity of shuffling is an immediate corollary.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
prod_43992-doc_3010.pdf
solo utenti autorizzati
Descrizione: tcs07.pdf
Tipologia:
Versione Editoriale (PDF)
Dimensione
288.76 kB
Formato
Adobe PDF
|
288.76 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
