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...

Y Conditional probability, the probability of an event A given that another event B Conditional proof, in logic: a proof that asserts a conditional, and...

of proof of capacity was Signum (formerly Burstcoin). The Proof of Capacity (PoC) consensus algorithm is used in some cryptocurrencies. Conditional Proof...

hypothetical syllogism is a valid argument form, a deductive syllogism with a conditional statement for one or both of its premises. Ancient references point to...

proof, some have even proceeded to develop further proofs which are contingent on the truth of this conjecture. These are called conditional proofs:...

The standard method for proving conditional sentences (sentences of the form "if A, then B") is called "conditional proof". In this method, in order to...

of going from a conditional statement into its logically equivalent contrapositive, and an associated proof method known as § Proof by contrapositive...

simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical...

The material conditional (also known as material implication) is a binary operation commonly used in logic. When the conditional symbol → {\displaystyle...

logic, a deduction theorem is a metatheorem that justifies doing conditional proofs from a hypothesis in systems that do not explicitly axiomatize that...

In probability theory, the conditional expectation, conditional expected value, or conditional mean of a random variable is its expected value evaluated...

science, the method of conditional probabilities is a systematic method for converting non-constructive probabilistic existence proofs into efficient deterministic...

The validity of this argument structure can be shown by using both conditional proof (CP) and reductio ad absurdum (RAA) in the following way: Hurley,...

In probability theory, conditional independence describes situations wherein an observation is irrelevant or redundant when evaluating the certainty of...

statements then results from the transitivity of the material conditional. A probabilistic proof is one in which an example is shown to exist, with certainty...

and elimination are just special cases of implication introduction (conditional proof) and elimination (modus ponens). In this case one must also add as...

this conjecture is given by Nathan Ng. In particular, Ng gives a conditional proof that the function e − y / 2 M ( e y ) {\displaystyle e^{-y/2}M(e^{y})}...

conjecture has been stated) and conjectures for which it gives a conditional proof. The consequences include: Roth's theorem on Diophantine approximation...

the three forms have yet been proven or disproven. Cramér gave a conditional proof of the much weaker statement that p n + 1 − p n = O ( p n log ⁡ p...

Combined with theorems of Gross–Zagier and Kolyvagin, this gave a conditional proof (on the Tate–Shafarevich conjecture) of the conjecture that E has...

every line of a proof is a conditional tautology (called a sequent by Gerhard Gentzen) instead of an unconditional tautology. Each conditional tautology is...

In information theory, the conditional entropy quantifies the amount of information needed to describe the outcome of a random variable Y {\displaystyle...

In logic, a strict conditional (symbol: ◻ {\displaystyle \Box } , or ⥽) is a conditional governed by a modal operator, that is, a logical connective of...

papers. Further results are conditional on improved forms of the Arthur–Selberg trace formula. Harris has a conditional proof of a result for the product...

without making any further assumptions. In order to directly prove a conditional statement of the form "If p, then q", it suffices to consider the situations...

(conjunction), "or" (disjunction), "not" (negation), "if" (material conditional), and "if and only if" (biconditional). Examples of such compound sentences...

Combined with theorems of Gross-Zagier and Kolyvagin, this gave a conditional proof (on the Tate–Shafarevich conjecture) of the conjecture that E has...

two types of justification for a node. They are: Support list [SL] Conditional proof (CP) Many kinds of truth maintenance systems exist. Two major types...

side of the conditional Hölder inequality, 0 times ∞ as well as ∞ times 0 means 0. Multiplying a > 0 with ∞ gives ∞. Proof of the conditional Hölder inequality:...

the antecedent Theorem Axiom Axiomatic system Axiomatization Conditional proof Invalid proof Degree of truth Truth Truth condition Truth function Double...