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...

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

also be characterized inferentially by modus ponens, modus tollens, conditional proof, and classical reductio ad absurdum.[citation needed] Material implication...

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:...

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

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...

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,...

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

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})}...

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

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

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

conjecture. Neither form has 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...

based on inference, such as proof-theoretic semantics, provides a better foundation for this model than truth-conditional semantics does. Some authors...

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...

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...

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

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

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

In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to...

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

top-level domain Software testing test (Unix), a Unix command for evaluating conditional expressions TEST (x86 instruction), an x86 assembly language instruction...

Christian theology, conditionalism or conditional immortality is a concept in which the gift of immortality is attached to (conditional upon) belief in Jesus...

{G}}_{1}]=\operatorname {E} [X\mid {\mathcal {G}}_{1}]\quad {\text{(a.s.)}}.} Proof. Since a conditional expectation is a Radon–Nikodym derivative, verifying the following...

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

the proof is very similar to the one for the standard version of Fatou's lemma above, however the monotone convergence theorem for conditional expectations...