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Disjunctive allegations are allegations in a pleading joined by an "or". In a complaint, disjunctive allegations are usually per se defective because such a pleading does not put the party on notice of which allegations they must defend. [1] On the other hand, defendants often plead in the alternative by listing seemingly inconsistent defenses ...
Besides these explicit operations, Boolean grammars allow implicit disjunction represented by multiple rules for a single nonterminal symbol, which is the only logical connective expressible in context-free grammars. Conjunction and negation can be used, in particular, to specify intersection and complement of languages.
Theorems are those logical formulas where is the conclusion of a valid proof, [4] while the equivalent semantic consequence indicates a tautology.. The tautology rule may be expressed as a sequent:
Commutativity of conjunction can be expressed in sequent notation as: ()and ()where is a metalogical symbol meaning that () is a syntactic consequence of (), in the one case, and () is a syntactic consequence of () in the other, in some logical system;
Notice pleading is the dominant form of pleading used in the United States today. [2] In 1938, the Federal Rules of Civil Procedure were adopted. One goal of these rules was to relax the strict rules of code pleading. [2] The focus of the cause of action was shifted to discovery (another goal of the FRCP). [2]
In logic, a clause is a propositional formula formed from a finite collection of literals (atoms or their negations) and logical connectives.A clause is true either whenever at least one of the literals that form it is true (a disjunctive clause, the most common use of the term), or when all of the literals that form it are true (a conjunctive clause, a less common use of the term).
The effect of these two decisions has been described as "incredibly consequential" [1] and "controversial". After Iqbal was decided, expanding Twombly ' s reach beyond antitrust law, legislation was introduced to reverse the cases and re-introduce "notice pleading"; [4] neither bill passed.
In propositional logic and Boolean algebra, there is a duality between conjunction and disjunction, [1] [2] [3] also called the duality principle. [ 4 ] [ 5 ] [ 6 ] It is the most widely known example of duality in logic. [ 1 ]