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2. Propositional formula - Wikipedia

   en.wikipedia.org/wiki/Propositional_formula

   A propositional formula may also be called a propositional expression, a sentence, or a sentential formula. A propositional formula is constructed from simple propositions, such as "five is greater than three" or propositional variables such as p and q, using connectives or logical operators such as NOT, AND, OR, or IMPLIES; for example:

3. Sentence clause structure - Wikipedia

   en.wikipedia.org/wiki/Sentence_clause_structure

   A sentence consisting of at least one dependent clause and at least two independent clauses may be called a complex-compound sentence or compound-complex sentence. Sentence 1 is an example of a simple sentence. Sentence 2 is compound because "so" is considered a coordinating conjunction in English, and sentence 3 is complex. Sentence 4 is ...

4. Sentence (mathematical logic) - Wikipedia

   en.wikipedia.org/wiki/Sentence_(mathematical_logic)

   For the interpretation of formulas, consider these structures: the positive real numbers, the real numbers, and complex numbers. The following example in first-order logic (=) is a sentence. This sentence means that for every y, there is an x such that =.

5. Propositional calculus - Wikipedia

   en.wikipedia.org/wiki/Propositional_calculus

   [1] [10] Examples of such compound sentences might include: Wikipedia is a free online encyclopedia that anyone can edit, and millions already have. (conjunction) It is not true that all Wikipedia editors speak at least three languages. (negation) Either London is the capital of England, or London is the capital of the United Kingdom, or both ...

6. Truth function - Wikipedia

   en.wikipedia.org/wiki/Truth_function

   The typical example is in propositional logic, wherein a compound statement is constructed using individual statements connected by logical connectives; if the truth value of the compound statement is entirely determined by the truth value(s) of the constituent statement(s), the compound statement is called a truth function, and any logical ...

7. First-order logic - Wikipedia

   en.wikipedia.org/wiki/First-order_logic

   A formula in first-order logic with no free variable occurrences is called a first-order sentence. These are the formulas that will have well-defined truth values under an interpretation. For example, whether a formula such as Phil(x) is true must depend on what x represents.

8. Atomic formula - Wikipedia

   en.wikipedia.org/wiki/Atomic_formula

   An atomic formula or atom is simply a predicate applied to a tuple of terms; that is, an atomic formula is a formula of the form P (t 1,…, t n) for P a predicate, and the t n terms. All other well-formed formulae are obtained by composing atoms with logical connectives and quantifiers. For example, the formula ∀x. P (x) ∧ ∃y. Q (y, f (x ...

9. Compound modifier - Wikipedia

   en.wikipedia.org/wiki/Compound_modifier

   A compound modifier that is spaced rather than hyphenated is referred to as an open compound. [2] When a numeral and a noun are used in a compound modifier that precedes a noun, the noun takes the singular form. For example, the 2021 Belmont Stakes was a "12-furlong race" and an "eight-horse race", not a "12-furlongs race" or an "eight-horses ...