Logic in computer science compelling analysis of what can be called a mechanical procedure and Kurt Gödel asserted that he found Turing's analysis "perfect." In addition some other major areas of theoretical overlap between logic and computer science are: One of the first applications to use the term Artificial Intelligence was the Logic Theorist system developed by Allen Newell, J.C. Shaw, and Herbert Simon in 1956. One of the things that a logician does is to take a set of statements in logic and deduce the conclusions (additional statements) that must be true by the laws of logic. For example, If given a logical
Logical equivalence if and only if formula_2'". In particular, the truth value of formula_7 can change from one model to another. The claim that two formulas are logically equivalent is a statement in the metalanguage, expressing a relationship between two statements formula_1 and formula_2. The statements are logically equivalent if, in every model, they have the same truth value. Logical equivalence In logic, statements formula_1 and formula_2 are logically equivalent if they have the same logical content. That is, if they have the same truth value in every model (Mendelson 1979:56). The logical equivalence of formula_1 and formula_2 is sometimes expressed as