Sequent Calculus: A Formal System for Logical Deduction
Sequent calculus is a formal system for logical entailments, representing deductions as…
Proof-Theoretic Consequence
Proof-theoretic consequence, also known as syntactic consequence, explores logical entailment based on…
Prenex Normal Form
A standardized structure for first-order logic where all quantifiers (universal and existential)…
Negation Elimination in Natural Deduction
Negation elimination is a fundamental rule in natural deduction. It permits inferring…
Negation Consistency in Logic
Negation consistency ensures a logical system is free from contradictions, meaning no…
Negation Completeness in Logic
Negation completeness signifies a logical system's ability to prove either any given…
Instantiation in Logic and Programming
Instantiation is the core process of replacing bound variables with specific constants.…