On some representations of context-free languages

TL;DR

This paper explores unconventional methods for representing context-free languages using finite digraphs and automata, focusing on their mathematical models to enhance understanding and application.

Contribution

It introduces novel representations of context-free languages through finite digraphs and automata generators, expanding the mathematical framework beyond traditional grammars and pushdown automata.

Findings

Finite digraphs can represent context-free languages effectively.

Automata generators provide an alternative recognition method.

Mathematical models of these representations are developed.

Abstract

Context-free languages are widely used to describe the syntax of programming languages and natural languages. Usually, we describe a context-free language mathematically with the help of context-free grammar (for generation) or pushdown automata (for recognition). The purpose of this study is to describe some unconventional methods of description of context-free languages, namely a representation with the help of finite digraphs and with automata - generators of context-free languages. We will mainly focus on the mathematical models of these representations.