Tag: system

Sequent Calculus: A Formal System for Logical Deduction

Sequent calculus is a formal system representing logical deductions. It uses sequences…

Steven Haynes

Self-Reference

Self-reference occurs when something points back to itself. This concept is crucial…

Steven Haynes

Robinson Arithmetic

Robinson arithmetic is a simplified version of Peano arithmetic, omitting the induction…

Steven Haynes

Relevance Logic

Relevance logic is a non-classical logic designed to ensure premises are relevant…

Steven Haynes

Relative Consistency Proof

A relative consistency proof demonstrates that if a system S is consistent,…

Steven Haynes

Recursively Axiomatizable Theory

A theory with a recursive set of axioms that can derive all…

Steven Haynes

Pure Predicate Logic

Pure predicate logic, also known as pure first-order logic, is a formal…

Steven Haynes

Peano Arithmetic

A formal system of arithmetic using axioms by Giuseppe Peano, it provides…

Steven Haynes

Ordered Logic

Ordered logic is a type of formal logic that prohibits weakening and…

Steven Haynes

Non-Classical Logic

Explore logics beyond classical assumptions. This includes intuitionistic, many-valued, and modal systems,…

Steven Haynes