Systems of formal logic

Dependence logic

Dependence logic is a logical formalism, created by Jouko Väänänen, which adds dependence atoms to the language of first-order logic. A dependence atom is an expression of the form , where are terms, and corresponds to the statement that the value of is functionally dependent on the values of . Dependence logic is a , like branching quantifier logic or independence-friendly logic: in other words, its game theoretic semantics can be obtained from that of first-order logic by restricting the availability of information to the players, thus allowing for non-linearly ordered patterns of dependence and independence between variables. However, dependence logic differs from these logics in that it separates the notions of dependence and independence from the notion of quantification. (Wikipedia).

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Gödel numbering | Game semantics | Free variables and bound variables | Structural induction | Arithmetical hierarchy | Craig interpolation | Compactness theorem | Branching quantifier | Conservative extension | Alfred Tarski | Fagin's theorem | Modal logic | Negation normal form | Tarski's undefinability theorem | Independence-friendly logic | Existential quantification | Signature (logic) | Structure (mathematical logic) | Intuitionistic logic | Universal quantification | Jaakko Hintikka