Correctness definition

Correctness means that the value of a parameter is the correct one from the valid set.

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Correctness. If a process with identifier i performs Broad cast(m) in some superround r ≥ T , then all correct pro- cesses send ⟨echo m, r, i⟩ messages in the second round of superround r. All of these messages will be delivered and they will come from at least ℓ − t different identifiers, so all processes will perform Accept(m, i) in the second round of superround r. Unforgeability: Suppose all processes with identifier i are correct and none perform Broadcast(m). The only reason a correct process will send a message ⟨echo m, r, i⟩ (for some r) is if it has previously received ⟨echo m, r, i⟩ messages from ℓ − 2t > t identifiers, one of which must have been sent by a correct process. Thus, no correct process can send the first ⟨echo m, r, i⟩ message. So, no process can receive ⟨echo m, r, i⟩ from ℓ − t > t identifiers. It follows that no correct process performs Accept(m, i). Relay: Suppose some correct process P performs Accept(m, i) line 7, this is possible only if (v, ∗) is not in r’s locks set at the beginning of phase ph . This contradicts our assumption that all correct processes that sent an ⟨ack v, ph⟩ message in phase ph (including r) keep the value in v in their locks set from the time they execute line 20 of phase ph until they execute line 30 of phase ph . The following lemmas are useful for proving termination. Recall that all messages sent after T are guaranteed to be delivered. Lemma 11 At the end of any phase ph3 that occurs after T, if (v1, ph1) is in the locks variable of a correct process p1 and (v2, ph2) is in the locks variable of a correct process p2, then v1 = v2.

Correctness. The correctness requirement of digital signatures must hold for (MS.▇▇▇▇▇, MS.▇▇▇▇▇▇, MS.Sign, MS.Verify). In addition, for any message m, any collection of honestly gen- erated signatures {σi ← MS.Sign(pp, ski, m)}i∈S on m (for some S ⊆ [n]), the combined multi- signature formed by σ¯ ← MS.Combine(pp, {vki, σi}i∈S, m) will properly verify with overwhelming probability, i.e., Pr [1 ← MS.MVerify(pp, {vk1, . . . , vkn}, S, m, σ¯)] ≥ 1 − negl(k).

Examples of Correctness in a sentence

• These tests shall demonstrate, among other things: Completeness of the mechanical and electrical construction works Correctness of the assembly and installation Safety and reliability of the Project under all operating conditions Proper functioning of the components and system under all operating conditions.

• I wanted to change the direction of my own research towards the investigation of the foundations of separation logic (while continuing collaboration with ▇▇▇▇▇▇▇ ▇▇▇▇ on verifying Java libraries, continuing work on the Reowolf project, and continuing teaching Concepts of Programming Languages and Program Correctness).

• Later on, teaching both the Program Correctness and Concepts of Programming Languages courses also became my responsibility.

• From the start, I was involved in teaching in the Program Correctness course at Leiden University.

• The basic properties any MKA scheme must satisfy for this definition are the following: – Correctness even with partially active adversaries: The group manager and all group members output the same group secret in all epochs, once the group members have eventually received all control messages in order (with different messages possibly arbitrarily ordered in between).

More Definitions of Correctness

Correctness or “Correct” means correct except for (i) inaccuracies or breaches of which the Independent Directors or the senior executive officers of Yahoo! or Softbank who were involved in the negotiation of the Framework Agreement had Knowledge prior to the Effective Time if such breaches or inaccuracies were sufficient to cause the condition to the obligations of Alibaba, Yahoo! and Softbank in Section 8.03(a) of the Framework Agreement not to be satisfied prior to the Effective Time or were disclosed as exceptions to the certificate delivered by HoldCo pursuant to Section 8.03(a) of the Framework Agreement, or (ii) such inaccuracies or breaches which do not, individually or in the aggregate, substantially decrease (A) the benefits of the Transactions to Alibaba, Yahoo! or Softbank or (B) the value of Alibaba. “Knowledge” shall be evidenced solely by written evidence (including email, and including self-generated writings and writings created by Releasing Persons) demonstrating that such person had knowledge of such inaccuracy or breach.

Correctness means the state of software in which traceability, consistency, and completeness are provided.

Correctness in this context means that the value of a parameter is the correct one from the valid set.

Correctness. If some honest party terminates Com, then there exists a fixed value s, where s F , such that the following requirements hold11 :

Correctness. If all honest players begin with the same input value, i.e. −

Correctness. All correct processes which have terminated have the same outputs. Moreover, if all correct processes have the same input, denoted v, then all correct processes output v.

Correctness. For any choice of s ∈ £, we have, Pr[(xyz) → gen(PXYZ), ver(y, s, mac(x, s)) = acc | Z = z] = 1 (6)