Theory of Computation – Nondeterministic Finite Automata with Null Transitions

An NFA with null transition is allowed to make transition not only on input from the alphabet but also with null input, i.e. without any input symbol. This transition without input is called null transition. An NFA with null transition is also denoted by a 5-tuple M = ( Q, Σ, δ, F q0) Where … Read more

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Theory of Computation – Nondeterministic Finite Automata (NFA) – Definitions, Programming, Examples

Nondeterministic means choice of moves for automata. In non-deterministic finite automata we are allowed a set of possible moves. The definition of nondeterministic automata is similar to that of deterministic finite automata but with one difference, the transition function. A nondeterministic finite automata is s 5-tuple ( Q, Σ, δ, F q0), where Q: is … Read more

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Theory of Computation – Designing and Programming a DFA

Question: Design a DFA recognizing the given languages: a) The language of all strings that do not end with 01. b) The language of all strings that begin or end with 00 or 11. c) The language of all strings containing no more than one occurrence of the string 00. (The string 000 should be … Read more

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Theory of Computation – Language of a DFA and Extended Transition Function

Language of a Deterministic Finite Automaton A DFA defines a language. The set of all strings that result in a sequence of state transition from start state to an accepting state is the language defined by the DFA. The language is denoted as L(M) for a DFA M = (Q, Σ, δ, F q0), and … Read more

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Theory of Computation – Transition Graph and Transition Table For a Finite Automata

Transition graphs and transition tables are used to depict a DFA. Transition graphs Transition graph can be interpreted as a flowchart for an algorithm recognizing a language. A transition graph consists of three things: A finite set of states, at least one of which is designated the start state and some of which are designated … Read more

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Theory of Computation – Deterministic Finite Automata (DFA) – Definition

As discussed in the earlier tutorial, finite automata are the devices that accept the generated language. They take the symbols from the input tape and change state according to the input symbol. If the change of state is to a single state then the automata is called deterministic. This section describes the deterministic finite automata … Read more

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Theory of Computation – Regular Expressions and Regular Languages

Regular languages are languages that can be generated from one-element languages by applying certain standard operations a finite number of times. They are the languages that can be recognized by finite automata. These simple operations include concatenation, union and kleen closure. By the use of these operations regular languages can be represented by an explicit … Read more

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Theory of Computation – Recursion Definition and Examples

Recursion is a very important concept in computer science. Many problems can be simplified by the use of recursion. A formal definition of recursion is – A function that calls itself directly or indirectly and terminates after a finite number of steps. So that the program does not continue to run indefinitely, a well-defined recursive … Read more

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Theory of Computation – Basic Definitions

This section describes the terms that are frequently used in the theory of computation and automata theory. Before proceeding to the next section section you should understand the terms that are described below as they are used in most of the concepts in the theory of computation. Alphabets Theory of computation is entirely based on … Read more

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Theory of Computation – An Overview

This sections gives a brief introduction of the Automata theory and Theory of Computation. In this secion we are also going to discuss the use of learning the theory of computation and where these concepts can be applied. Theory of Computation emphasis on formal languages, models of computation and computability, computational complexity and NP-completeness. It … Read more

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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