## A Parallel Minimum Distance Error-Correcting
Context-Free Parser

#### Giovanni Pighizzini

###### Dipartimento di Scienze dell'Informazione

Università degli Studi di Milano

via Comelico 39 -- 20135 Milano, Italy

##### Abstract

In this paper we present the first parallel minimum distance error--correcting
parser for context--free languages. The error correction is
performed considering three kinds of syntax errors: the mutation of a symbol
in another incorrect symbol, the insertion of an extraneous symbol and
the deletion of a symbol.
Our algorithm has the same
parallel complexity of other well--known non--correcting context--free
parsers such as developed by Ruzzo (1980) and Gibbons and Rytter (1988).
Further, with respect to these
algorithms it has the advantage of working with every context--free
grammar and not just with grammars in Chomsky Normal Form.
The algorithm is developed using dynamic programming techniques.

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