Strong Mathematical Induction
Strong induction strengthens the inductive hypothesis, allowing the assumption that the proposition…
Skolem-Lowenheim Theorem
A fundamental theorem in first-order logic. It asserts that if a theory…
Sequent Calculus: A Formal System for Logical Deduction
Sequent calculus is a formal system for logical entailments, representing deductions as…
Sequent Calculus: A Formal System for Logical Deduction
Sequent calculus is a formal system representing logical deductions. It uses sequences…
Sequence: Definition and Mathematical Concepts
A sequence is an ordered list of objects, identified by position. It's…
Semi-Decidable Theory
A semi-decidable theory allows for an algorithm to list all its theorems.…
Robinson Arithmetic
Robinson arithmetic is a simplified version of Peano arithmetic, omitting the induction…
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,…
Recursive Function Theory
Recursive function theory explores the properties of recursive functions, focusing on their…