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...

natural numbers. Proofs on inductive types are made possible by induction. Each new inductive type comes with its own inductive rule. To prove a predicate...

of the datatype Inductive family, a family of inductive data types indexed by another type or value Recursive data type, a data type for values that may...

to come out of the Oberwolfach meeting was the basic idea of higher inductive types, due to Lumsdaine, Shulman, Bauer, and Warren. The participants also...

languages, a recursive data type (also known as a recursively-defined, inductively-defined or inductive data type) is a data type for values that may contain...

proof-writing systems use a type theory for their foundation. A common one is Thierry Coquand's Calculus of Inductive Constructions. Type theory was created to...

variants include the calculus of inductive constructions (which adds inductive types), the calculus of (co)inductive constructions (which adds coinduction)...

Inductive charging (also known as wireless charging or cordless charging) is a type of wireless power transfer. It uses electromagnetic induction to provide...

truth of the conclusion of an inductive argument is at best probable, based upon the evidence given. The types of inductive reasoning include generalization...

way of defining data types in Agda is via inductive data types which are similar to algebraic data types in non-dependently typed programming languages...

programming language. It is based on the calculus of constructions with inductive types. It is an open-source project hosted on GitHub. It was principally...

those of the abstract stack data type. In type theory, the above definition is more simply regarded as an inductive type defined in terms of constructors:...

An inductive sensor is a device that uses the principle of electromagnetic induction to detect or measure objects. An inductor develops a magnetic field...

other cell types Enzyme induction and inhibition Induction period, slow stage of a reaction Inductive cleavage, in organic chemistry Inductive effect, change...

intuitionistic type theory (ITT), some discipline within mathematical logic, induction-induction is for simultaneously declaring some inductive type and some...

resonates. A resonant transformer of this type is often used in analog circuitry as a bandpass filter. Resonant inductive coupling is also used in wireless power...

for the detection of chemical elements. It is a type of emission spectroscopy that uses the inductively coupled plasma to produce excited atoms and ions...

type and function on that type. It allows the creation of larger types than inductive types, such as universes. The types created still remain predicative...

value(node(e, f)) = e children(node(e, f)) = f In terms of type theory, a tree is an inductive type defined by the constructors nil (empty forest) and node...

An inductively coupled plasma (ICP) or transformer coupled plasma (TCP) is a type of plasma source in which the energy is supplied by electric currents...

contact type. These modern non contact TPS include Hall effect sensors, inductive sensors, magnetoresistive and others. In the potentiometric type sensors...

measuring the masonry and air temperature at various locations, 72 inductive type displacement transducers (deformometers) at various levels on the main...

her personal experience to understand an issue. Grounded theory is an inductive type of research, based on ("grounded" in) a very close look at the empirical...

The inductive bias (also known as learning bias) of a learning algorithm is the set of assumptions that the learner uses to predict outputs of given inputs...

magnetometers and compasses as part of the sensor. Proximity sensors (inductive type) Other materials with similar magnetic properties include Co-Netic,...

conclusions, hence a faulty generalization is produced. The essence of this inductive fallacy lies on the overestimation of an argument based on insufficiently-large...

observations. This inference from the observed to the unobserved is known as "inductive inferences". Hume, while acknowledging that everyone does and must make...

algebraic data types. Both are essentially equivalent to each other. They are similar to the inductive families of data types (or inductive datatypes) found...

formal specification. Coq works within the theory of the calculus of inductive constructions, a derivative of the calculus of constructions. Coq is not...

Inductively coupled plasma mass spectrometry (ICP-MS) is a type of mass spectrometry that uses an inductively coupled plasma to ionize the sample. It...