Theory of computation | Formal languages | Computability theory | Recursion

Recursive language

In mathematics, logic and computer science, a formal language (a set of finite sequences of symbols taken from a fixed alphabet) is called recursive if it is a recursive subset of the set of all possible finite sequences over the alphabet of the language. Equivalently, a formal language is recursive if there exists a total Turing machine (a Turing machine that halts for every given input) that, when given a finite sequence of symbols as input, accepts it if it belongs to the language and rejects it otherwise. Recursive languages are also called decidable. The concept of decidability may be extended to other models of computation. For example, one may speak of languages decidable on a non-deterministic Turing machine. Therefore, whenever an ambiguity is possible, the synonym used for "recursive language" is Turing-decidable language, rather than simply decidable. The class of all recursive languages is often called R, although this name is also used for the class RP. This type of language was not defined in the Chomsky hierarchy of. All recursive languages are also recursively enumerable. All regular, context-free and context-sensitive languages are recursive. (Wikipedia).

Video thumbnail

SYN_018 - Linguistic Micro-Lectures: Recursion

In this short micro-lecture, Victoria Galarneau, one of Prof. Handke's students, discusses the term 'recursion', a central notion in syntax.

From playlist Micro-Lectures - Syntax

Video thumbnail

Applying the recursive formula to a sequence to determine the first five terms

๐Ÿ‘‰ Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

Video thumbnail

How to use the recursive formula to evaluate the first five terms

๐Ÿ‘‰ Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

Video thumbnail

Applying the recursive formula to a geometric sequence

๐Ÿ‘‰ Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

Video thumbnail

Using the recursive formula to find the first four terms of a sequence

๐Ÿ‘‰ Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

Video thumbnail

Learn how to find the first five terms of a sequence using the recursive formula

๐Ÿ‘‰ Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

Video thumbnail

How to determine the first five terms for a recursive sequence

๐Ÿ‘‰ Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

Video thumbnail

Recursive Factorial Function

Introduction to recursion.

From playlist Computer Science

Video thumbnail

Theory of Computation: A non-RE language

This video is for my Spring 2020 section of MA 342, for the class meeting on Wednesday April 22. Fast forward music is from "Now Get Busy" by the Beastie Boys, licensed Creative Commons Noncommercial Sampling Plus.

From playlist Math 342 (Theory of Computation) Spring 2020

Video thumbnail

Theory of Computation: The Halting Problem

This video is for my Spring 2020 section of MA 342, for the class meeting on Tuesday April 21. Fast forward music is from "Now Get Busy" by the Beastie Boys, licensed Creative Commons Noncommercial Sampling Plus.

From playlist Math 342 (Theory of Computation) Spring 2020

Video thumbnail

Joel David Hamkins : The hierarchy of second-order set theories between GBC and KM and beyond

Abstract: Recent work has clarified how various natural second-order set-theoretic principles, such as those concerned with class forcing or with proper class games, fit into a new robust hierarchy of second-order set theories between Gรถdel-Bernays GBC set theory and Kelley-Morse KM set th

From playlist Logic and Foundations

Video thumbnail

C9 Lectures: Dr. Erik Meijer - Functional Programming Fundamentals Chapter 6 of 13

We've kicked off C9 Lectures with a journey into the world of Functional Programming with functional language purist and high priest of the lambda calculus, Dr. Erik Meijer (you can thank Erik for many of the functional constructs that have shown up in languages like C# and VB.NET. When yo

From playlist Haskell - Functional Programming Fundamentals (Dr. Erik Meijer )

Video thumbnail

C++ Tutorial For Beginners 2022 | C++ Full Course | C++ Full Tutorial | C++ Course | Simplilearn

๐Ÿ”ฅ Explore our FREE Courses with Completion Certificates: https://www.simplilearn.com/skillup/skillup-free-online-courses?utm_campaign=CPPFS23Sep22&utm_medium=DescriptionFF&utm_source=youtubeL In this C++ full course tutorial for beginners video, you will learn about the essential C++ topi

From playlist Simplilearn Live

Video thumbnail

Recursively Defined Sets - An Intro

Recursively defined sets are an important concept in mathematics, computer science, and other fields because they provide a framework for defining complex objects or structures in a simple, iterative way. By starting with a few basic objects and applying a set of rules repeatedly, we can g

From playlist All Things Recursive - with Math and CS Perspective

Video thumbnail

A Simple Programming Language - (part 10 of 13)

An introduction to programming with a reductively simple programming language. Part of a larger series teaching programming. Visit http://codeschool.org Please link to the playlist (http://www.youtube.com/playlist?list=PL2F1485C69B311408) rather than this video as individual videos may g

From playlist A Simple Programming Language

Video thumbnail

!!Con 2019 - Writing an Interpreter in SQL for Fun and No Profit! by Michael Malis

!!Con 2019 - Writing an Interpreter in SQL for Fun and No Profit! by Michael Malis Writing SQL can be hard. SQL code is a bizarre combination of yelling and relational algebra. How can we make writing SQL easier? By embedding our own programming language in our SQL queries of course! In

From playlist !!Con 2019

Video thumbnail

RubyConf 2019 - The Functional Rubyist by Joe Leo

RubyConf 2019 - The Functional Rubyist by Joe Leo Functional programmingโ€™s popularity is on the rise and support for FP is growing in Ruby. But can you really write functional code in Ruby? More importantly, why should you? Learn how Ruby enables functional programming concepts while main

From playlist RubyConf 2019

Video thumbnail

How to find the first four terms of a recursive formula

๐Ÿ‘‰ Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

Related pages

Undecidable problem | Closure (mathematics) | Context-free language | Decision problem | RP (complexity) | R (complexity) | Regular language | Formal language | Homomorphism | Presburger arithmetic | Context-sensitive language | Symbol (formal) | Mathematics | Set (mathematics) | Computable set | Turing machine | Subset | Chomsky hierarchy | Kleene star | Linear bounded automaton | Mathematical logic | Recursively enumerable language | First-order logic | Algorithm | Recursion