Chomsky Hierarchy - Computerphile | Summary and Q&A

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January 13, 2016
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Chomsky Hierarchy - Computerphile

TL;DR

Finite State Automaton are a type of Turing machine that require a finite amount of memory and have predictable RAM requirements.

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Questions & Answers

Q: What is the role of finite state automaton within the hierarchy of Turing machines?

Finite state automaton occupy a position within the hierarchy of Turing machines, where they have a predictable and finite amount of RAM requirements. They are less demanding in terms of memory than other types of Turing machines.

Q: How are finite state automaton related to Noam Chomsky and linguistics?

Noam Chomsky, a linguist, contributed to the understanding of finite state automaton by studying simple languages with restricted structures. He discovered the different types of Turing machines and their relationship to language complexity.

Q: Can finite state automaton be used to represent computer languages?

Yes, finite state automaton can be used to represent computer languages. They provide a framework for understanding the structure and behavior of programming languages and how they can be compiled or interpreted.

Q: What is the significance of the Inner Circle of Type 1 in the diagram?

The Inner Circle of Type 1 represents a subset of Turing machines that have predictable RAM requirements. This means that their memory usage can be determined in advance, making them more efficient and easier to analyze.

Summary & Key Takeaways

  • Finite State Automaton sit within a hierarchy of Turing machines, with each level having different demands on memory and computational power.

  • There are subsets of Turing machines that have predictable RAM requirements, such as those in the Inner Circle of Type 1 in the diagram.

  • Noam Chomsky, a linguist, made significant contributions to the understanding of finite state automaton and their relationship to natural and computer languages.

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