logic of higher order

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• Higher-order logic — In mathematics, higher order logic is distinguished from first order logic in a number of ways.One of these is the type of variables appearing in quantifications; in first order logic, roughly speaking, it is forbidden to quantify over predicates …   Wikipedia

• Higher order grammar — (HOG) is a grammar theory based on higher order logic. It can be viewed simultaneously as generative enumerative (like Categorial Grammar and Principles Parameters) or model theoretic (like Head Driven Phrase Structure Grammar or Lexical… …   Wikipedia

• Higher-order abstract syntax — In computer science, higher order abstract syntax (abbreviated HOAS) is a technique for the representation of abstract syntax trees for languages with variable binders.Relation to first order abstract syntaxAn abstract syntax tree is abstract… …   Wikipedia

• Higher-order function — In mathematics and computer science, higher order functions or functionals are functions which do at least one of the following: *take one or more functions as an input *output a function.In mathematics these are also known as operators or… …   Wikipedia

• higher-order logic — One in which the variables of the quantifiers are permitted to range over properties and functions as well as individuals (see also first order language ) …   Philosophy dictionary

• Logic programming — is, in its broadest sense, the use of mathematical logic for computer programming. In this view of logic programming, which can be traced at least as far back as John McCarthy s [1958] advice taker proposal, logic is used as a purely declarative… …   Wikipedia

• Theorem Proving in Higher-Order Logics — (TPHOLs) is an annual international academic conference on the topic of automated reasoning in higher order logics. The first TPHOLs was held in Cambridge, UK in 1987, but in the early years was an informal gathering of researchers interested in… …   Wikipedia

• Logic in computer science — describes topics where logic is applied to computer science and artificial intelligence. These include:*Investigations into logic that are guided by applications in computer science. For example: Combinatory logic and Abstract interpretation;… …   Wikipedia

• Logic (disambiguation) — Logic is the study of the principles and criteria of valid inference and demonstration.Logic may also refer to:In logic and mathematics*A branch of logic: **Inductive logic, also called induction or inductive reasoning **Informal logic, the study …   Wikipedia

• logic, philosophy of — Philosophical study of the nature and scope of logic. Examples of questions raised in the philosophy of logic are: In virtue of what features of reality are the laws of logic true? ; How do we know the truths of logic? ; and Could the laws of… …   Universalium

• logic, history of — Introduction       the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic       There was a medieval tradition according to which the Greek philosopher …   Universalium