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Higher-Order Logic

Higher-order logic extends first-order logic by enabling quantification over predicates and other…

Steven Haynes

Formal System

A formal system is a set of symbols and rules for manipulating…

Steven Haynes

Formal Proof Explained

A formal proof is a rigorous demonstration of truth within a formal…

Steven Haynes

First-Order Theory

A first-order theory formalizes mathematical reasoning using first-order logic. It defines relationships…

Steven Haynes

Explosion Principle in Logic

The Explosion Principle, also known as ex falso quodlibet, states that from…

Steven Haynes

Elimination Rule in Logical Inference

An elimination rule in logic simplifies formulas by removing connectives or quantifiers.…

Steven Haynes

Effectively Decidable Theory

An effectively decidable theory is a formal system where an algorithm can…

Steven Haynes

Effectively Decidable Relations

An effectively decidable relation is one where a mechanical method can definitively…

Steven Haynes

Effectively Computable Functions

An effectively computable function is one that can be calculated by an…

Steven Haynes

Effective Procedure

An effective procedure is a guaranteed method for solving problems in a…

Steven Haynes