Languages like German, English, and French are used for communication, but computers rely on formal languages for data processing.
Formal languages are essential for the abstraction of processes and information processing in computers.
The foundational element of formal languages is an alphabet, which consists of a finite and non-empty set of characters or symbols.
🔤 An alphabet consists of a set of symbols or characters that can be used to form words.
📝 Words are finite sequences of symbols from an alphabet, and they can only consist of symbols from that alphabet.
🌐 Every alphabet includes a special word that is common to all alphabets.
📚 Words are finite sequences of symbols from an alphabet.
🔤 Words can be concatenated together to form longer words.
🗂️ Words can be used to create languages, which are subsets of the Kleene closure of an alphabet.
🗝️ Languages consist of a set of words from an alphabet, and formal languages are used for processing data and information in computers.
💡 Formal languages are important for abstracting processes and information processing in computers.
🔍 The concept of formal languages comes from theoretical computer science.
🔤 An alphabet is a finite and non-empty set of characters or symbols that determine what can be used.
🆎 Words are finite sequences of symbols from an alphabet and must only consist of symbols in that alphabet.
🔢 Examples of alphabets include lowercase letters, binary digits, or any other set of symbols.
📚 Words in an alphabet can be concatenated to form longer words.
🔠 The length of a word is denoted using vertical bars and the empty word has a length of 0.
🗣️ Words can be used to form languages, which are subsets of the Kleene closure of an alphabet.
✨ A language is defined as a set of words from an alphabet.
🔡 Languages can be defined in various ways, such as specifying the number of different letters in a word or the divisibility of the number of 'a's.
📝 It is important to note that a language does not convey any information about its meaning.
🔤 Formal languages are used for information processing in computers.
🔠 An alphabet specifies the characters or symbols that can be used to form words.
🗣️ Languages can be formed by any set of words from an alphabet.