Structural induction is a proof method that is used in mathematical logic (e.g., in the proof of Łoś' theorem), computer science, graph theory, and some...

this generalization, known as structural induction, is used in mathematical logic and computer science. Mathematical induction in this extended sense is closely...

Strong induction Structural induction Transfinite induction Epsilon-induction Parabolic induction Inductive reasoning, in logic Electromagnetic induction Electrostatic...

is called structural induction. When the well-founded relation is set membership on the universal class, the technique is known as ∈-induction. See those...

{W}}_{x:A}B(x)}}.} The elimination rule for W-types works similarly to structural induction on trees. If, whenever a property (under the propositions-as-types...

The problem of induction is a philosophical problem that questions the rationality of predictions about unobserved things based on previous observations...

degree of probability. Unlike deductive reasoning (such as mathematical induction), where the conclusion is certain, given the premises are correct, inductive...

1017/CBO9780511543326. ISBN 0-521-83449-X. Aubin, Raymond (1976), Mechanizing Structural Induction, EDI-INF-PHD, vol. 76–002, University of Edinburgh, hdl:1842/6649...

which are easier to reuse, and easier correct.ness proofs using structural induction. Lieberherr, Karl; Orleans, Doug; Ovlinger, Johan (October 2001)...

as in the preceding sections, yields structural induction — a powerful generalization of mathematical induction widely used to derive proofs in mathematical...

Mathematical induction Recursive data types Recursion Recursion (computer science) Structural induction Henkin, Leon (1960). "On Mathematical Induction". The...

Structuralism is an intellectual current and methodological approach, primarily in the social sciences, that interprets elements of human culture by way...

concurrent interacting objects. Coinduction is the mathematical dual to structural induction.[citation needed] Coinductively defined data types are known as codata...

theory of algorithms. Peano axioms Giuseppe Peano Mathematical induction Structural induction Recursive definition Naive set theory Element (mathematics)...

Structural functionalism, or simply functionalism, is "a framework for building theory that sees society as a complex system whose parts work together...

f(...) using a lower-precedence root symbol g. In particular, by structural induction, a term f(...) is bigger than any term containing only symbols smaller...

expression and symbol rules as base cases, it is possible to prove with structural induction that any regular expression may be converted into an equivalent NFA...

constructive. Using the closure properties of Büchi automata and structural induction over the definition of ω-regular language, it can be easily shown...

theorems is standard in Dafny with recursion employed for induction (typically, structural induction). Case analysis is performed using match statements and...

Labor induction is the procedure where a medical professional starts the process of labor (giving birth) instead of letting it start on its own. Labor...

All structurally recursive functions on finite (inductively defined) data structures can easily be shown to terminate, via structural induction: intuitively...

G'} . We prove that all positions are equivalent to a nimber by structural induction. The more specific result, that the given game's initial position...

special construct in which such polytypic functions can be defined via structural induction over the structure of the pattern functor of a regular datatype....

An example is shown in lines 11 to 13 of the toy example below. Structural induction. This rule allows for synthesis of recursive functions. For a given...

philosophical foundations of analytic induction originate from Aristotle and his concept of induction. Analytic induction can be thought of as a phenomenological...

Partial Algebras. CiteSeerX 10.1.1.92.6134. Horst Reichel (1984). Structural induction on partial algebras. Akademie-Verlag. Horst Reichel (1987). Initial...

changing magnetic field in the conductor according to Faraday's law of induction or by the relative motion of a conductor in a magnetic field. Eddy currents...

In the philosophy of science, the pessimistic induction, also known as the pessimistic meta-induction, is an argument which seeks to rebut scientific...

An audio induction loop system (also called an audio-frequency induction loop or AFIL, or a hearing loop) is an assistive listening device for individuals...

conjugated π system via resonance (mesomerism) or inductive effects (or induction)—called +M or +I effects, respectively—thus making the π system more nucleophilic...