7 сент. 2019 г. · Structural induction is used to prove that some proposition P(x) holds for all x of some sort of recursively defined structure, such as formulas ...

23 февр. 2024 г. · "Structural induction" I've only seen as a term for induction over other sets that are defined recursively (and have a more tree-like structure ...

5 нояб. 2019 г. · Structural induction is simple as that: assuming statement is true for enough substructures and prove it for the full structure.

7 дек. 2023 г. · Weak follows from strong, and if you fail proving something using the weak induction, then you may not be able to prove it with strong induction either.

18 окт. 2021 г. · Yes, they are equivalent. Strong Induction is stronger, as the inductive hypotheses is more general, just as you describe.

16 янв. 2020 г. · Structural induction is specific to inductive structure, which can often be captured by a context-free grammar (which, in turn, can be captured ...

6 янв. 2016 г. · In this case structural induction (on x) is pretty much the same as induction on the length of x. ... So you want to show that r(xy) = r(y)r(x).

13 мая 2019 г. · Induction is the basis for recursion and dynamic programming. You won't use induction but will use the thought process to do things.

6 июл. 2023 г. · Just to clarify, is your question: what are the differences between weak/strong/structural induction?, or is it: when should I use each?

22 мар. 2021 г. · Structural induction is the overall technique of applying regular induction to recursive structures and solves the problem of getting trapped in ...