Definitions for conditional proof
con·di·tion·al proof

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1. conditional proofnoun

   A style of proof which proceeds as follows: (1) start with some premise(s) and assumption(s), (2) derive a desired conclusion from the premise(s) and assumption(s), (3) apply the deduction theorem to state the tautology that the premise(s) imply that the assumption(s) imply the conclusion (or just the contingency that the assumption(s) imply the conclusion, contingent implicitly upon the truth of the premise(s)). (Note: a conditional proof can be embedded (i.e., be a subproof) within a larger, "ambient" proof, in which case its premises are formulas which it "inherits" from the ambient proof, whereas its assumptions are formulas which it hypothesizes in situ and whose scope is limited to the subproof and do not spill over to the ambient proof. A conditional proof can also be stand-alone in which case it has no premises, only assumptions, and the proof proceeds as follows: (1) start with assumption(s), (2) derive a conclusion from the assumption(s), (3) apply the deduction theorem to state the tautology that the assumption(s) imply the conclusion.)

WikipediaRate this definition:0.0 / 0 votes

1. Conditional proof

   A conditional proof is a proof that takes the form of asserting a conditional, and proving that the antecedent of the conditional necessarily leads to the consequent.

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1. Conditional proof

   A conditional proof is a proof that takes the form of asserting a conditional, and proving that the antecedent of the conditional necessarily leads to the consequent. The assumed antecedent of a conditional proof is called the conditional proof assumption. Thus, the goal of a conditional proof is to demonstrate that if the CPA were true, then the desired conclusion necessarily follows. The validity of a conditional proof does not require that the CPA is actually true, only that if it were true it would lead to the consequent. Conditional proofs are of great importance in mathematics. Conditional proofs exist linking several otherwise unproven conjectures, so that a proof of one conjecture may immediately imply the validity of several others. It can be much easier to show a proposition's truth to follow from another proposition than to prove it independently. A famous network of conditional proofs is the NP-complete class of complexity theory. There are a large number of interesting tasks, and while it is not known if a polynomial-time solution exists for any of them, it is known that if such a solution exists for any of them, one exists for all of them. Similarly, the Riemann hypothesis has a large number of consequences already proven.

How to pronounce conditional proof?

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Numerology

1. Chaldean Numerology

   The numerical value of conditional proof in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of conditional proof in Pythagorean Numerology is: 6

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Conditional_Proof
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Conditional_Proof
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=conditional proof