 formal system

The grouping of a formal language and a set of inference rules and/or axioms.
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Formal system — In formal logic, a formal system (also called a logical system,Audi, Robert (Editor). The Cambridge Dictionary of Philosophy . Second edition, Cambridge University Press, 1999. ISBN 978 0521631365 (hardcover) and ISBN 978 0521637220 (paperback).] … Wikipedia
formal system — In logic, a formal language together with a deductive apparatus by which some well formed formulas can be derived from others. Each formal system has a formal language composed of primitive symbols that figure in certain rules of formation… … Universalium
formal system — (or theory) A theory whose sentences are well formed formulae of a logical calculus, and in which axioms or rules governing particular terms correspond to the principles of the theory being formalized. The theory is said to be couched or framed… … Philosophy dictionary
formal systems — formal system … Philosophy dictionary
Formal interpretation — A formal interpretation [http://books.google.com/books?id=weKqT3ka5g0C pg=PA74 lpg=PA74 dq=%22Formal+interpretation%22+%22formal+language%22 source=web ots=pLN ms7Wi2 sig=P JqwdzOqLcX4nMpP64qmacnkDU hl=en#PPA74,M1 Cann Ronnie, Formal Semantics:… … Wikipedia
formal logic — the branch of logic concerned exclusively with the principles of deductive reasoning and with the form rather than the content of propositions. [1855 60] * * * Introduction the abstract study of propositions, statements, or assertively used … Universalium
Formal methods — In computer science and software engineering, formal methods are particular kind of mathematically based techniques for the specification, development and verification of software and hardware systems.cite webauthor=R. W. Butlertitle=What is… … Wikipedia
Formal proof — See also: mathematical proof, proof theory, and axiomatic system A formal proof or derivation is a finite sequence of sentences (called well formed formulas in the case of a formal language) each of which is an axiom or follows from the… … Wikipedia
Formal — The term formal has a number of uses, including:General*relating to formality *opposite of informalocial* Formal occasion ** Formal attire worn on such occasions ** Formals are particular meals at some British universities ** In Australian or… … Wikipedia
Formal language — A formal language is a set of words , i.e. finite strings of letters , or symbols . The inventory from which these letters are taken is called the alphabet over which the language is defined. A formal language is often defined by means of a… … Wikipedia