Reverse Mathematics
Reverse mathematics investigates the logical strength of mathematical theorems. It aims to…
Relative Consistency Proof
A relative consistency proof demonstrates that if a system S is consistent,…
Recursively Axiomatizable Theory
A theory with a recursive set of axioms that can derive all…
Ramified Theory of Types
An extension of the simple theory of types, the ramified theory introduces…
Pure First-Order Logic
Pure first-order logic is a foundational system in logic, characterized by its…
Provability Logic
Provability logic, a subset of modal logic, explores the formal properties of…
Proof-Theoretic Consequence
Proof-theoretic consequence, also known as syntactic consequence, explores logical entailment based on…
Primitive Recursive Relations
A primitive recursive relation is a type of relation definable using primitive…
Primitive Recursive Functions Explained
Primitive recursive functions are a subset of computable functions defined using initial…