Propositional logic (also called sentential logic) is logic that includes sentence letters (A,B,C) and logical connectives, but not quantifiers. The semantics of propositional logic uses truth assignments to the …

Jul 7, 2024 · In propositional logic there are no propositional functions because there are no predicates and variables in the syntax. See Mendelson's example: the two mathematical statements "x is prime" …

Sep 28, 2023 · Propositional constants represent some particular proposition, while propositional variables range over the set of all atomic propositions. Schemata, however, range over all propositions.

Jan 22, 2024 · For details and proof of soundness/completeness, see e.g. Mordechai Ben-Ari, Mathematical Logic for Computer Science (Springer, 3rd ed 2012), Chapter 4 Propositional Logic: …

The most misunderstood element of standard propositional logic is the $\to$ symbol. It is often read as "implies," but that has human meaning that one statement follows from the other in some direct way.

Why is the Absorption Law of Propositional Logic so ? p $\\lor (p \\land q) \\equiv$ p Would appreciate an intuitive explanation and not one using a Truth Table

May 28, 2016 · Is my translation of unless into propositional logic correct? Ask Question Asked 9 years, 8 months ago Modified 7 years, 9 months ago

Aug 7, 2022 · 1 Firstly, calling a propositional variable a proposition is prone to induce complications, at least, conceptually, if not operationally, for there is a clear difference between stating that (a variable) …

Dec 31, 2025 · Appropriate for questions about truth tables, conjunctive and disjunctive normal forms, negation, and implication of unquantified propositions. Also for general questions about the …

Jan 21, 2023 · Hint: Think about propositional variables as the special case with arity 0 in the same way you correctly thought of individual constants as a special case of function symbols with arity 0. What …