𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Arithmetic Complexity, Kleene Closure, and Formal Power Series

✍ Scribed by Allender; Arvind; Mahajan


Publisher
Springer
Year
2003
Tongue
English
Weight
278 KB
Volume
36
Category
Article
ISSN
1433-0490

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The complexity of bivariate power series
✍ Markus BlΓ€ser πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 205 KB

Inspired by Sch onhage's discussion in the Proc. 11th Applied Algebra and Error Correcting Codes Conference (AAECC), Lecture Notes in Comput. Sci., Springer, Berlin, Vol. 948, 1995 pp. 70, we study the multiplicative complexity of the multiplication, squaring, inversion, and division of bivariate po

Formal powers and power series
✍ Lipman Bers πŸ“‚ Article πŸ“… 1956 πŸ› John Wiley and Sons 🌐 English βš– 906 KB
Kolmogorov complexity and characteristic
✍ Shingo Ibuka; Makoto Kikuchi; Hirotaka Kikyo πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 84 KB

We investigate two constants c T and r T , introduced by Chaitin and Raatikainen respectively, defined for each recursively axiomatizable consistent theory T and universal Turing machine used to determine Kolmogorov complexity. Raatikainen argued that c T does not represent the complexity of T and f

Free Lie algebras and formal power serie
✍ R.M. Bryant πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 200 KB

Let G be a group and K a field. If V is a graded KG-module of the form The isomorphism types of V and L(V ) may be described by the power series n 1 [V n ]t n and n 1 [L n (V )]t n with coefficients from the Green ring. The main object of study is the function on power series which maps [V n ]t n t

Power Series and p-Adic Algebraic Closur
✍ Kiran S Kedlaya πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 181 KB

We describe a presentation of the completion of the algebraic closure of the ring of Witt vectors of an algebraically closed field of characteristic p>0. The construction uses ``generalized power series in p'' as constructed by Poonen, based on an example of Lampert, and also makes use of an analogo