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This parser function can be used to detect whether a template parameter is defined, even if it has been set to a false value. For example, to check whether the first positional parameter has been passed to a template (note that the strings "+" and "-" can be any two different non-whitespace strings):
A demonstration that the nested IF-THEN-ELSE—the "case statement" (or "switch statement")--is primitive recursive can be found in Kleene 1952:229 [4] at "#F ('mutually-exclusive predicates')". The CASE operator behaves like a logical multiplexer and is simply an extension of the simpler two-case logical operator sometimes called AND-OR-SELECT ...
For example, Hamilton uses two symbols = and ≠ when he defines the notion of a valuation v of any well-formed formulas (wffs) A and B in his "formal statement calculus" L. A valuation v is a function from the wffs of his system L to the range (output) { T, F }, given that each variable p 1 , p 2 , p 3 in a wff is assigned an arbitrary truth ...
Each nested use adds 5 levels to the template expansion depth, so 7 nested if-templates would use 35 levels (5*7) of the 41-level limit. Using P-if syntax: A similar if-structure can be coded without Template:If, by using the {} and {} templates in a "P-if" structure. Template:P1 always returns parameter 1, and P2 returns the 2nd. So, a ...
A propositional logic formula, also called Boolean expression, is built from variables, operators AND (conjunction, also denoted by ∧), OR (disjunction, ∨), NOT (negation, ¬), and parentheses. A formula is said to be satisfiable if it can be made TRUE by assigning appropriate logical values (i.e. TRUE, FALSE) to
This is a statement in the metalanguage, not the object language. The notation a ≡ b {\displaystyle a\equiv b} may occasionally be seen in physics, meaning the same as a := b {\displaystyle a:=b} .
Each nested use adds 5 levels to the template expansion depth, so 7 nested if-templates would use 35 levels (5*7) of the 41-level limit. Using P-if syntax: A similar if-structure can be coded without Template:If, by using the {} and {} templates in a "P-if" structure. Template:P1 always returns parameter 1, and P2 returns the 2nd. So, a ...
An important set of problems in computational complexity involves finding assignments to the variables of a Boolean formula expressed in conjunctive normal form, such that the formula is true. The k -SAT problem is the problem of finding a satisfying assignment to a Boolean formula expressed in CNF in which each disjunction contains at most k ...