A Boolean matrix method for the computation of linear precedence functions

Author:

Martin David F.1

Affiliation:

1. Univ. of California, Los Angeles, Los Angeles

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 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 if 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.

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Practical Method for Reducing Weak Precedence Parsers;IEEE Transactions on Software Engineering;1983-01

2. The storage requirement in precedence parsing;Communications of the ACM;1977-03

3. Operations on sparse relations;Communications of the ACM;1977-03

4. A improvement to Martin's algorithm for computation of linear precedence functions;Communications of the ACM;1976-10

5. The existence of precedence functions for phrase structure grammars;USSR Computational Mathematics and Mathematical Physics;1974-01

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