Atomic Formulas

Some articles on formulas, formula, atomic formulas, atomic formula:

Interpretation (logic) - First-order Logic - Formal Languages For First-order Logic
... formal language is known as the set of σ-formulas ... Each σ-formula is built up out of atomic formulas by means of logical connectives atomic formulas are built from terms using predicate symbols ... The formal definition of the set of σ-formulas proceeds in the other direction first, terms are assembled from the constant and function symbols together with the variables ...
Well-formed Formula - Atomic and Open Formulas
... An atomic formula is a formula that contains no logical connectives nor quantifiers, or equivalently a formula that has no strict subformulas ... The precise form of atomic formulas depends on the formal system under consideration for propositional logic, for example, the atomic formulas are the ... According to some terminology, an open formula is formed by combining atomic formulas using only logical connectives, to the exclusion of quantifiers ...

Famous quotes containing the words formulas and/or atomic:

    That’s the great danger of sectarian opinions, they always accept the formulas of past events as useful for the measurement of future events and they never are, if you have high standards of accuracy.
    John Dos Passos (1896–1970)

    It is now time to stop and to ask ourselves the question which my last commanding officer, Admiral Hyman Rickover, asked me and every other young naval officer who serves or has served in an atomic submarine. For our Nation M for all of us M that question is, “Why not the best?”
    Jimmy Carter (James Earl Carter, Jr.)