Higher-Order Logic
Higher-order logic extends first-order logic by enabling quantification over predicates and other…
Formal System
A formal system is a set of symbols and rules for manipulating…
Formal Proof Explained
A formal proof is a rigorous demonstration of truth within a formal…
First-Order Theory
A first-order theory formalizes mathematical reasoning using first-order logic. It defines relationships…
Explosion Principle in Logic
The Explosion Principle, also known as ex falso quodlibet, states that from…
Elimination Rule in Logical Inference
An elimination rule in logic simplifies formulas by removing connectives or quantifiers.…
Effectively Decidable Theory
An effectively decidable theory is a formal system where an algorithm can…
Effectively Decidable Relations
An effectively decidable relation is one where a mechanical method can definitively…
Effectively Computable Functions
An effectively computable function is one that can be calculated by an…
Effective Procedure
An effective procedure is a guaranteed method for solving problems in a…
