A sublogic is a logical system that forms a subset of a more extensive logic. It preserves certain operations and…
A subformula is a constituent part of a larger logical formula, sharing its own well-formed structure. Understanding subformulas is crucial…
Strong completeness in logic means that if a formula is true in all interpretations (semantically valid), it can be proven…
Strict implication defines a relationship where the truth of the antecedent necessarily guarantees the truth of the consequent. It's a…
Skolem Normal Form (SNF) simplifies first-order logic by eliminating existential quantifiers. It replaces them with Skolem functions, ensuring only universal…
The single turnstile (⊢) symbol in logic signifies syntactic entailment. It indicates that a formula or set of formulas can…
Seriality defines a property of relations, ensuring every element in the domain maps to at least one element in the…
Sequent calculus is a formal system for logical entailments, representing deductions as sequences of formulas. It emphasizes structural rules, providing…
Sentential logic, also known as propositional logic, examines the relationships between complete sentences or propositions. It focuses on how these…
Sentence letters, also known as propositional variables, are fundamental symbols in propositional logic. They represent simple declarative statements and act…