enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Soundness - Wikipedia

   en.wikipedia.org/wiki/Soundness

   In logic and deductive reasoning, an argument is sound if it is both valid in form and has no false premises. [1] Soundness has a related meaning in mathematical logic, wherein a formal system of logic is sound if and only if every well-formed formula that can be proven in the system is logically valid with respect to the logical semantics of the system.

3. Harvard sentences - Wikipedia

   en.wikipedia.org/wiki/Harvard_sentences

   The Harvard sentences, or Harvard lines, [1] is a collection of 720 sample phrases, divided into lists of 10, used for standardized testing of Voice over IP, cellular, and other telephone systems. They are phonetically balanced sentences that use specific phonemes at the same frequency they appear in English.

4. ω-consistent theory - Wikipedia

   en.wikipedia.org/wiki/Ω-consistent_theory

   Every ω-consistent theory is Σ 1-sound, but not vice versa. More generally, we can define an analogous concept for higher levels of the arithmetical hierarchy. If Γ is a set of arithmetical sentences (typically Σ 0 n for some n), a theory T is Γ-sound if every Γ-sentence provable in T is true in the standard model.

5. Logic - Wikipedia

   en.wikipedia.org/wiki/Logic

   For example, if the formula () stands for the sentence "Socrates is a banker" then the formula articulates the sentence "It is possible that Socrates is a banker". [127] To include these symbols in the logical formalism, modal logic introduces new rules of inference that govern what role they play in inferences.

6. Validity (logic) - Wikipedia

   en.wikipedia.org/wiki/Validity_(logic)

   If also the premises of a valid argument are proven true, this is said to be sound. [3] The corresponding conditional of a valid argument is a logical truth and the negation of its corresponding conditional is a contradiction. The conclusion is a necessary consequence of its premises. An argument that is not valid is said to be "invalid".

7. Completeness (logic) - Wikipedia

   en.wikipedia.org/wiki/Completeness_(logic)

   Semantic completeness is the converse of soundness for formal systems. A formal system is complete with respect to tautologousness or "semantically complete" when all its tautologies are theorems, whereas a formal system is "sound" when all theorems are tautologies (that is, they are semantically valid formulas: formulas that are true under every interpretation of the language of the system ...

8. Propositional calculus - Wikipedia

   en.wikipedia.org/wiki/Propositional_calculus

   Propositional logic, as currently studied in universities, is a specification of a standard of logical consequence in which only the meanings of propositional connectives are considered in evaluating the conditions for the truth of a sentence, or whether a sentence logically follows from some other sentence or group of sentences.

9. Interactive proof system - Wikipedia

   en.wikipedia.org/wiki/Interactive_proof_system

   Soundness: if the string is not in the language, no prover, however malicious, will be able to convince the verifier to accept the string with probability exceeding 1/3. This machine is potentially more powerful than an ordinary NP interaction protocol , and the certificates are no less practical to verify, since BPP algorithms are considered ...