mathematical logic, formation rules are rules for describing well-formed words over the alphabet of a formal language. These rules only address the location...

argument with true premises follows a rule of inference then the conclusion cannot be false. Modus ponens, an influential rule of inference, connects two premises...

language, and as such itself is a syntactic entity. Symbol (formal) Formation rule Formal grammar Syntax (linguistics) Syntax (programming languages) Mathematical...

A formal grammar is a set of symbols and the production rules for rewriting some of them into every possible string of a formal language over an alphabet...

rule of formation effectively defines an atomic formula, as in first-order logic, and again in model theory. To these are added a pair of formation rules...

is an axiom or follows from the preceding formulas in the sequence by a rule of inference. The last sentence in the sequence is a theorem of a formal...

(consisting of production rules or formation rules). Deductive system, deductive apparatus, or proof system, which has rules of inference that take axioms...

these strings, well-formed formulas were the strings that followed the formation rules of (correct) formulas. Several authors simply say formula. Modern usages...

The formation rules define the terms and formulas of first-order logic. When terms and formulas are represented as strings of symbols, these rules can...

expressed in some formal languages. A formal grammar (also called formation rules) is a precise description of the well-formed formulas of a formal language...

}\mathbf {X} \,Q(x))} A rule of inference is a rule justifying a logical step from hypothesis to conclusion. There are several rules of inference which utilize...

symbols by concatenation (juxtaposition). Formation rules: The theory specifies the rules of syntax (rules of grammar) usually as a recursive definition...

well-summarized by John Searle's Chinese room experiment: Given a collection of rules (e.g., a Chinese phrasebook, with questions and matching answers), the computer...

In organic chemistry, Zaytsev's rule (or Zaitsev's rule, Saytzeff's rule, Saytzev's rule) is an empirical rule for predicting the favored alkene product(s)...

symbols may comprise a well-formed formula if it is consistent with the formation rules of the language. In a formal system a symbol may be used as a token...

In computer science, a production or production rule is a rewrite rule that replaces some symbols with other symbols. A finite set of productions P {\displaystyle...

learning, also known as category learning, concept attainment, and concept formation, is defined by Bruner, Goodnow, & Austin (1956) as "the search for and...

more carbon–hydrogen bonds. The chemical basis for Markovnikov's Rule is the formation of the most stable carbocation during the addition process. Adding...

proven. The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence...

the fourth electron shell around the nucleus. Thus the octet rule proscribes formation of a hypothetical Cl2− ion, and indeed the latter has only been...

and ¬ Q {\displaystyle \neg Q} , infer ¬ P {\displaystyle \neg P} ; this rule also being called reductio ad absurdum), negation elimination (from P {\displaystyle...

word formation is not at all clear-cut. There are many examples for which linguists fail to agree whether a given rule is inflection or word formation. The...

{\displaystyle \{\blacksquare ,\bigstar ,\blacklozenge \}} and whose formation rule for formulas is: 'Any string of symbols of F S ′ {\displaystyle {\mathcal...

does not use recursion to produce an answer A recursive step — a set of rules that reduces all successive cases toward the base case. For example, the...

set into motion many more rules that led to the formation of the modern form of gridiron football (although the Canadian rules were developed independently...

procedure following, use of terminology, discrimination, concept formation, rule application, and problem solving. The primary significance of the hierarchy...

The longest word in any given language depends on the word formation rules of each specific language, and on the types of words allowed for consideration...

efficient for viruses as it may delay or stop RNA replication or protein formation. The rule is named for Wacław Szybalski. Szybalski, Wacław, Kubinski H, Sheldrick...

prosperity and happiness. However, Mahabali was tricked into giving up his rule, and was thus overthrown by Vamana (Thrikkakkarayappan), the fifth Avatar...

exist because it has no vowels and therefore does not obey the word-formation rules of English. This is a systematic, rather than accidental, gap. Various...