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Inductive programming (IP) is a special area of automatic programming, covering research from artificial intelligence and programming, which addresses learning of typically declarative (logic or functional) and often recursive programs from incomplete specifications, such as input/output examples or constraints.
The following three rules give an inductive definition that can be applied to build all syntactically valid lambda terms: [e] variable x is itself a valid lambda term. if t is a lambda term, and x is a variable, then ( λ x . t ) {\displaystyle (\lambda x.t)} [ f ] is a lambda term (called an abstraction );
Inductive logic programming has adopted several different learning settings, the most common of which are learning from entailment and learning from interpretations. [16] In both cases, the input is provided in the form of background knowledge B, a logical theory (commonly in the form of clauses used in logic programming), as well as positive and negative examples, denoted + and respectively.
Like most research methods, the process of thematic analysis of data can occur both inductively or deductively. [1] In an inductive approach, the themes identified are strongly linked to the data. [4] This means that the process of coding occurs without trying to fit the data into pre-existing theory or framework.
Most recursive definitions have two foundations: a base case (basis) and an inductive clause. The difference between a circular definition and a recursive definition is that a recursive definition must always have base cases, cases that satisfy the definition without being defined in terms of the definition itself, and that all other instances in the inductive clauses must be "smaller" in some ...
Based in grounded theory, open coding is the analytic process through which concepts (codes) are attached to observed data and phenomena during qualitative data analysis.It is one of the techniques described by Strauss (1987) and Strauss and Corbin (1990) for working with text.
In type theory, a system has inductive types if it has facilities for creating a new type from constants and functions that create terms of that type. The feature serves a role similar to data structures in a programming language and allows a type theory to add concepts like numbers , relations , and trees .
Dybjer's initial papers called Induction-Recursion a "schema" for rules. It stated what type formers could be added to the type theory. Later, he and Setzer would write a new type former with rules that allowed new Induction-Recursion definitions to be made inside the type theory. [2] This was added to the Half proof assistant (a variant of Alf).