Formal Languages
A formal language consists of a fixed collection of sentences (also called words or formulas, depending on the context) composed from a fixed set of letters or symbols. The inventory from which these letters are taken is called the alphabet over which the language is defined. The essential feature of a formal language is that its syntax can be defined without reference to interpretation. We can determine that (P or Q) is a well-formed formula even without knowing whether it is true or false.
To distinguish the strings of symbols that are in a formal language from arbitrary strings of symbols, the former are sometimes called well-formed formulæ (wffs).
Read more about this topic: Interpretation (logic)
Famous quotes containing the words formal and/or languages:
“Two clergymen disputing whether ordination would be valid without the imposition of both hands, the more formal one said, “Do you think the Holy Dove could fly down with only one wing?””
—Horace Walpole (1717–1797)
“It is time for dead languages to be quiet.”
—Natalie Clifford Barney (1876–1972)