logic, an atomic formula (also known as an atom or a prime formula) is a formula with no deeper propositional structure, that is, a formula that contains...

R(t1,...,tn) is an atomic formula Finally, the set of formulas is defined to be the smallest set containing the set of atomic formulas such that the following...

ma(X)/ent, expressed as the atomic-scale mass per entity. Given the relative mass (atomic weight, molecular weight, or formula weight) Ar(X) of an entity...

which any variables are bound. An atomic sentence is an atomic formula containing no variables. It follows that an atomic sentence contains no logical connectives...

mathematical logic, an atomic model is a model such that the complete type of every tuple is axiomatized by a single formula. Such types are called principal...

In mathematical logic, a literal is an atomic formula (also known as an atom or prime formula) or its negation. The definition mostly appears in proof...

bound variable occurrences in a formula are defined inductively as follows. Atomic formulas If φ is an atomic formula, then x occurs free in φ if and...

basic building blocks of reality Atomic City (disambiguation) Atomic formula, a formula without subformulas Atomic number, the number of protons found...

quantifiers in them are known as atomic sentences; by analogy to atomic formula. Sentences are then built up out of atomic sentences by applying connectives...

applying a predicate symbol to an appropriate number of terms is called an atomic formula, which evaluates to true or false in bivalent logics, given an interpretation...

In atomic physics, the Rydberg formula calculates the wavelengths of a spectral line in many chemical elements. The formula was primarily presented as...

works equally well if all integers are used) in such a way that any atomic formula x ∈ y {\displaystyle x\in y} appearing in ϕ {\displaystyle \phi } satisfies...

over the years, the structure of the formula remains the same today. The formula gives a good approximation for atomic masses and thereby other effects....

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...

propositional formula. Because of this, the propositional variables are called atomic formulas of a formal propositional language. While the atomic propositions...

ground terms. A ground predicate, ground atom or ground literal is an atomic formula all of whose argument terms are ground terms. If p ∈ P {\displaystyle...

logical formulas. For instance in the syntax of propositional logic, the binary connective ∨ {\displaystyle \lor } can be used to join the two atomic formulas...

that every set of definite clauses D has a unique minimal model M. An atomic formula A is logically implied by D if and only if A is true in M. It follows...

is an atomic formula, then ϕ {\displaystyle \phi } is a formula of L {\displaystyle {\mathcal {L}}} . If ϕ {\displaystyle \phi } is a formula of L {\displaystyle...

applying a predicate symbol to an appropriate number of terms is called an atomic formula, which evaluates to true or false in bivalent logics, given an interpretation...

e. 0-arity) predicates. In first-order logic, a predicate forms an atomic formula when applied to an appropriate number of terms. In set theory with the...

formula begins with an atomic formula followed by the biconditional, the subformula to the right of the biconditional is a definition of the atomic formula...

terms and atomic formulas are defined exactly as in first-order logic with equality. Formulas of IF logic are defined as follows: Any atomic formula φ {\displaystyle...

that the atom would account for the many atomic spectral lines. These lines were summarized in empirical formula by Johann Balmer and Johannes Rydberg....

(depending on the context) a term or an atomic formula of logic. An atom in a standard logic terminology means an atomic formula; an atom of Prolog (depending on...

expression t ∈ S (also written S(t), or St to save parentheses) is an atomic formula. Sets of individuals can also be viewed as unary relations on the domain...

The atomic formula holds(Fact, Time) expresses that the Fact holds at the Time. Such time-varying facts are also called fluents. The atomic formula happens(Event...

grammar Formation rule Well-formed formula Automata theory Regular expression Production Ground expression Atomic formula Applications Formal methods Propositional...

meaning. A formal grammar determines which symbols and sets of symbols are formulas in a formal language. A formal system (also called a logical calculus,...

completeness of atomic initial sequents states that initial sequents A ⊢ A (where A is an arbitrary formula) can be derived from only atomic initial sequents...