An inferable entity is information that isn't directly stated but can be logically deduced from the available context or data.…
Derivation is the process of establishing a result from a set of premises or axioms using logical rules. It's fundamental…
Logic is the systematic study of valid reasoning and correct inference. It provides the tools and principles to distinguish between…
A theorem is a statement proven true through logical deduction from accepted axioms and previously proven theorems. It forms a…
Subalternation describes how a universal statement's truth guarantees the truth of its corresponding particular statement. It's a fundamental concept in…
Sequent calculus is a formal system for logical entailments, representing deductions as sequences of formulas. It emphasizes structural rules, providing…
Sequent calculus is a formal system representing logical deductions. It uses sequences of formulas before and after a turnstile, signifying…
A theory with a recursive set of axioms that can derive all its theorems through logical deduction. This property is…
Pseudo modus ponens is an axiom representing assertion, stating that if A is true and A implies B, then B…
Proof-theoretic consequence, also known as syntactic consequence, explores logical entailment based on the structure of proofs within formal systems. It…