SKOLEMISATION Meaning and
Definition
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Skolemisation is a process used in mathematical logic and computer science to eliminate existential quantifiers from logical formulas. It takes its name from the Norwegian mathematician Thoralf Skolem, who introduced and developed this technique in the early 1920s.
In logic, an existential quantifier (∃) is a symbol used to denote the existence of at least one object satisfying a given predicate. Skolemisation is a method that allows the conversion of formulas with existential quantifiers into equivalent formulas without them.
The process involves introducing new Skolem functions, also known as auxiliary or witness functions, which replace the existential quantifiers. These Skolem functions take as arguments the variables previously bounded by the quantifier and return a new variable that represents an arbitrary witness satisfying the predicate. The resulting formula is known as a Skolem normal form.
Skolemisation is particularly useful in automated theorem proving and model theory. By eliminating existential quantifiers, formulas become more suitable for further manipulation and analysis. This transformation also allows for the more efficient implementation of automated reasoning algorithms.
Overall, skolemisation is a powerful technique used to simplify and transform logical formulas by eliminating existential quantifiers and replacing them with Skolem functions, resulting in an equivalent formula that is easier to work with and reason about.
Common Misspellings for SKOLEMISATION
- akolemisation
- zkolemisation
- xkolemisation
- dkolemisation
- ekolemisation
- wkolemisation
- sjolemisation
- smolemisation
- slolemisation
- soolemisation
- siolemisation
- skilemisation
- skklemisation
- skllemisation
- skplemisation
- sk0lemisation
- sk9lemisation
- skokemisation
- skopemisation
- skooemisation
Etymology of SKOLEMISATION
The word "skolemisation" is derived from the name of the Norwegian mathematician, Thoralf Skolem. Skolemisation refers to a logical transformation that bears his name due to his contributions to mathematical logic, particularly in the field of first-order logic. Skolemisation is a technique used to eliminate existential quantifiers in logical formulas and is widely employed in automated theorem proving and other areas of computer science.
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