Proof theory is a branch of mathematical logic focused on the structure and properties of mathematical proofs. It formalizes reasoning,…
Proof by induction is a powerful mathematical technique used to prove statements for an infinite number of cases. It relies…
A primitive recursive relation is a type of relation definable using primitive recursive functions. These relations represent a subset of…
Primitive recursive functions are a subset of computable functions defined using initial functions and operations like composition and primitive recursion.…
Primitive recursion defines functions by calling themselves with simpler inputs. It requires a base case to ensure termination, forming a…
A standardized structure for first-order logic where all quantifiers (universal and existential) are moved to the beginning of the formula,…
Prefix notation, also known as Polish notation, places operators before their operands. This structure eliminates the need for parentheses, ensuring…
A powerful logical system merging predicate logic with functors. It enhances the representation of properties and relations, offering greater expressiveness…
A predicate is a function or relation that asserts a property or relationship. It's fundamental in logic, databases, and programming,…
An extension of first-order logic that incorporates predicates with multiple arguments. This allows for the representation of complex relationships between…