Additive Distances and Quasi-Distances Between Words

نویسندگان

  • Cristian S. Calude
  • Kai Salomaa
  • Sheng Yu
چکیده

We study additive distances and quasi-distances between words. We show that every additive distance is finite. We then prove that every additive quasi-distance is regularity-preserving, that is, the neighborhood of any radius of a regular language with respect to an additive quasi-distance is regular. Finally, similar results will be proven for context-free, computable and computably enumerable languages.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Metric Lexical Analysis

We study automata-theoretic properties of distances and quasi-distances between words. We show that every additive distance is nite. We also show that every additive quasi-distance is regularity-preserving, that is, the neighborhood of any radius of a regular language with respect to an additive quasi-distance is regular. As an application we present a simple algorithm that constructs a metric ...

متن کامل

On the Blocks of Interpoint Distances

We study the blocks of interpoint distances, their distributions, correlations, independence and the homogeneity of their total variances. We discuss the exact and asymptotic distribution of the interpoint distances and their average under three models and provide connections between the correlation of interpoint distances with their vector correlation and test of sphericity. We discuss testing...

متن کامل

Quasi-Distances and Weighted Finite Automata

We show that the neighbourhood of a regular language L with respect to an additive quasi-distance can be recognized by an additive weighted finite automaton (WFA). The size of the WFA is the same as the size of an NFA (nondeterministic finite automaton) for L and the construction gives an upper bound for the state complexity of a neighbourhood of a regular language with respect to a quasi-dista...

متن کامل

Determine of isolation distances for seed potato production in Ardabil region

This study was performed in order to determine the distance of isolation for the seed potato production from ware potato in three regions of Ardabil, Namin and Nir. The experiment was carried out in a randomized complete block design (RCBD) with five distances (100, 200, 300, 400 and 500 meters from ware potato) and three replications with Super Elite (SE) class of Agria potato cultivar from wa...

متن کامل

Phylogenetic inference under the pure drift model.

When pairwise genetic distances are used for phylogenetic reconstruction, it is usually assumed that the genetic distance between two taxa contains information about the time after the two taxa diverged. As a result, upon an appropriate transformation if necessary, the distance usually can be fitted to a linear model such that it is expressed as the sum of lengths of all branches that connect t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • J. UCS

دوره 8  شماره 

صفحات  -

تاریخ انتشار 2002