We resolve a conjecture proposed by D.E. Knuth concerning a recurrence arising in the satisfiability problem. Knuth's recurrence resembles recurrences arising in the analysis of tries, in particular PATRICIA tries, and asymmetric leader election. We solve Knuth's recurrence exactly and asymptotically, using analytic techniques such as the Mellin transform and analytic depoissonization.
Authors
- Philippe Jacquet,
- Charles Knessel,
- prof. dr inż. Wojciech Szpankowski link open in new tab
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.1017/s0963548314000133
- Category
- Publikacja w czasopiśmie
- Type
- artykuł w czasopiśmie wyróżnionym w JCR
- Language
- angielski
- Publication year
- 2014
