A Boolean Matrix Method for the Computation of Linear Precedence Functions,

Abstract

A modified version of Bell's Boolean matrix method for the computation of linear precedence functions associated with a conflict-free matrix of precedence relations is given. This new algorithm not only detects when the precedence functions do not exist, but also provides an indication of why they do not exist, so that corrective action can be taken is possible. Necessary and sufficient conditions for the existence of precedence functions are given. The use of Boolean matrices to prove the existence of precedence functions associated with classes of conflict-free grammars is illustrated through an example. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1972
Accession Number
AD0747036

Entities

People

  • David F. Martin

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Contracts
  • Energy
  • Mathematical Analysis
  • Mathematics
  • Nuclear Energy

Fields of Study

  • Mathematics

Readers

  • Computational Linguistics
  • Linear Algebra