How to translate "When" in propositional logic?
Oct 28, 2020 · The suggestions given are fine, but there is not always a direct read over from natural language to formal logic: when could mean "whenever" but there could, in natural …
What's the difference between predicate and propositional logic?
Propositional logic is an axiomatization of Boolean logic. As such predicate logic includes propositional logic. Both systems are known to be consistent, e.g. by exhibiting models in …
definition - Interpretations and models in propositional logic ...
It's possible that considering propositional logic is making this too simplified, and that, at the cost of some additional complexity, the distinctions would be clearer in predicate logic. For …
Is a propositional function a proposition in propositional logic ...
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 …
Propositional logic resolution - Mathematics Stack Exchange
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 …
What is the logical operator for but? - Mathematics Stack Exchange
An alternative way of conveying the same information would be to say "I am fine and he has flu.". Often, the word but is used in English to mean and, especially when there is some contrast or …
propositional calculus - What is a resolution in logic.
Dec 1, 2020 · For resolution in propositional logic, the order in which you resolve the literals does not matter for the end result, if that was your question. Resolution can be applied across any …
What's the difference between the main types of logic?
Aug 30, 2018 · I've heard of all sorts of logic: Mathematical logic, propositional logic, first order logic, second order logic, predicate logic, Boolean logic / algebra, etc. What are the main …
What does $\\rightarrow$ mean in $p \\rightarrow q$
Jan 7, 2014 · In some contexts, though, people don't make this distinction between material implication (the connective) and logical implication (the $\implies$ arrow). But they are not the …
Definition of a formula in propositional logic
Mar 22, 2021 · And the fourth clause, which is often omitted but should always be understood, prevents us from throwing random junk into the collection of formulae: every formula must be a …