In this paper, we provide a library in Coq containing intuitionistic proofs of some facts that are on the basis of formal verification tools such as Model ...
Here, we provide a library in Coq containing intuitionistic proofs of some facts that are on the basis of formal verification tools such as Model Checking and ...
Jun 13, 2022 · I'm doing some exercises on Coq and trying to prove the strong induction principle for nat. Lemma strong_ind (P : nat -> Prop) : (forall m, (forall k : nat, k <
For a hypothesis whose type is a (co)inductively defined proposition, the tactic introduces a goal for each constructor of the proposition that isn't self- ...
The induction tactic is new to us. It initiates a proof by induction on its argument, in this case lst, and provides names for the variables to be used in the ...
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StrongInduction.v proves the principle of strong induction over natural numbers: Theorem strong_induction : forall P : nat -> Prop, (forall m : nat, (forall n ...
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Dec 7, 2019 · I am in the middle of proving the equivalence of weak and strong induction. I have a definition like: Definition strong_induct (nP : nat->Prop) ...
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IndPrinciples: Induction Principles - Software Foundations
softwarefoundations.cis.upenn.edu › Ind...
Every time we declare a new Inductive datatype, Coq automatically generates an induction principle for this type. This induction principle is a theorem like ...
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Structural induction is a strong elimination rule for inductive types. This method can be used to define any function whose termination is based on the well ...
▻ Using the constructors,. ▻ Using the pattern-matching construct,. ▻ Using co-recursion. Yves Bertot. Introduction to Co-Induction in Coq. Page 10. Motivation.
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