Skolem normal form

Skolem normal form is a way of rewriting logical formulas to standardize their structure, especially in mathematical logic and automated theorem proving. It involves eliminating existential quantifiers (like "there exists") by introducing specific functions called Skolem functions, ensuring the formula only has universal quantifiers ("for all") upfront. This transformation simplifies the logic, making it easier to analyze or use in algorithms for proof verification. Essentially, Skolem normal form standardizes the formula’s shape, focusing on universally quantified parts, which is crucial for systematic reasoning and automated theorem solving.