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The basic backtracking algorithm runs by choosing a literal, assigning a truth value to it, simplifying the formula and then recursively checking if the simplified formula is satisfiable; if this is the case, the original formula is satisfiable; otherwise, the same recursive check is done assuming the opposite truth value.
A literal is either a variable (in which case it is called a positive literal) or the negation of a variable (called a negative literal). A clause is a disjunction of literals (or a single literal). A clause is called a Horn clause if it contains at most one positive literal.
In mathematical logic, a literal is an atomic formula (also known as an atom or prime formula) or its negation. [1] [2] The definition mostly appears in proof theory (of classical logic), e.g. in conjunctive normal form and the method of resolution. Literals can be divided into two types: [2] A positive literal is just an atom (e.g., ).
The consensus or consensus term of two conjunctive terms of a disjunction is defined when one term contains the literal and the other the literal ¯, an opposition. The consensus is the conjunction of the two terms, omitting both a {\displaystyle a} and a ¯ {\displaystyle {\bar {a}}} , and repeated literals.
The not operator can only be used as part of a literal, which means that it can only precede a propositional variable. The following is a context-free grammar for CNF: CNF → (Disjunction) CNF; CNF → (Disjunction) Disjunction → Literal Disjunction; Disjunction → Literal; Literal → Variable; Literal → Variable; Where Variable is any ...
A New York federal appeals court on Monday upheld a jury's verdict that President-elect Donald Trump sexually abused and defamed columnist E. Jean Carroll and owes her $5 million for doing so. "We ...
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