intuitionistic
31Constructive set theory — is an approach to mathematical constructivism following the program of axiomatic set theory. That is, it uses the usual first order language of classical set theory, and although of course the logic is constructive, there is no explicit use of… …
32Dependence logic — is a logical formalism, created by Jouko Väänänen[1], 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… …
33Nels David Nelson — (Nels) David Nelson, an American mathematician and logician, was born on January 2, 1918 in Cape Girardeau, Missouri. Upon graduation from the Ph.D. program at the University of Wisconsin Madison, Nelson relocated to Washington, D.C. Nelson… …
34Non-classical logic — Non classical logics (and sometimes alternative logics) is the name given to formal systems which differ in a significant way from standard logical systems such as propositional and predicate logic. There are several ways in which this is done,… …
35Natural deduction — In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the natural way of reasoning. This contrasts with the axiomatic systems which instead use… …
36Background and genesis of topos theory — This page gives some very general background to the mathematical idea of topos. This is an aspect of category theory, and has a reputation for being abstruse. The level of abstraction involved cannot be reduced beyond a certain point; but on the… …
37Curry-Howard correspondence — The Curry Howard correspondence is the direct relationship between computer programs and mathematical proofs. Also known as Curry Howard isomorphism, proofs as programs correspondence and formulae as types correspondence, it refers to the… …
38Prenex normal form — A formula of the predicate calculus is in prenex[1] normal form if it is written as a string of quantifiers followed by a quantifier free part (referred to as the matrix). Every formula in classical logic is equivalent to a formula in prenex… …
39Linear logic — In mathematical logic, linear logic is a type of substructural logic that denies the structural rules of weakening and contraction . The interpretation is of hypotheses as resources : every hypothesis must be consumed exactly once in a proof.… …
40Logic — For other uses, see Logic (disambiguation). Philosophy …
