The turnstile symbol (⊢) signifies syntactic entailment or provability in formal logic. It indicates that a statement on the right…
Sequent calculus is a formal system for logical entailments, representing deductions as sequences of formulas. It emphasizes structural rules, providing…
Proof-theoretic consequence, also known as syntactic consequence, explores logical entailment based on the structure of proofs within formal systems. It…
A consequence relation links sets of statements. If the premises are true, the consequences must also be true, establishing a…
Conditionalization forms a conditional statement from an argument. Its antecedent is the conjunction of premises, and its consequent is the…