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…
Satisfiability determines if a logical formula can be true under any interpretation. It's a fundamental concept in computer science, forming…
Robinson arithmetic is a simplified version of Peano arithmetic, omitting the induction axiom schema. It provides a weaker yet still…
Pure predicate logic, also known as pure first-order logic, is a formal system for reasoning about propositions and their relationships.…
Pseudo modus ponens is an axiom representing assertion, stating that if A is true and A implies B, then B…
Propositional letters are fundamental variables in propositional logic. They act as placeholders for specific, undefined propositions, enabling the construction and…
Proof-theoretic consequence, also known as syntactic consequence, explores logical entailment based on the structure of proofs within formal systems. It…
The prelinearity axiom, represented by the formula (P → Q) ∨ (Q → P), is a fundamental principle in logic.…
The Philonian conditional, also known as the material conditional, is a key concept in propositional logic. It formalizes 'if...then...' statements,…