In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object by creating or providing a method for...

Both constructive and non-constructive proofs have been presented as "Cantor's proof." The popularity of presenting a non-constructive proof has led...

assumption. Such a proof by contradiction might be called non-constructive, and a constructivist might reject it. The constructive viewpoint involves...

used for classical logic by more closely mirroring the notion of constructive proof. In particular, systems of intuitionistic logic do not assume the...

techniques from recursion theory as well as proof theory. Functional interpretations are interpretations of non-constructive theories in functional ones. Functional...

binary digits (i.e. each digit is zero or one). He begins with a constructive proof of the following lemma: If s1, s2, ... , sn, ... is any enumeration...

new circular arcs with a compass. Usability The constructive proof does not merely serve as a proof of the theorem, but also demonstrates the practical...

the form of a proof by contradiction in which the nonexistence of the object is proved to be impossible. In contrast, a constructive proof establishes that...

is rational. The above proof is an example of a non-constructive proof disallowed by intuitionists: The proof is non-constructive because it doesn't give...

60th birthday). Vol. II. North-Holland. pp. 609–627. Moser, Robin A. (2008). "A constructive proof of the Lovasz Local Lemma". arXiv:0810.4812 [cs.DS]....