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...

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

{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...

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

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

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

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

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

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

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

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...

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...

Chengjiang (October 26, 2018), Lecture 22: Recursive Definitions and Structural Induction (PDF) Kenneth Rosen (2011). Discrete Mathematics and Its Applications...

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

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...

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...

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...

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

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

above by some F G H k {\displaystyle FGH_{k}} . This can be shown by structural induction on the definitions of primitive recursive functions. However, the...

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

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

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...

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

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...