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 language, be an …
logic - What does $\rightarrow$ mean in $p \rightarrow q$ (as …
Nov 11, 2025 · 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 same thing in …
Is a propositional function a proposition in propositional logic ...
Jul 7, 2024 · Based on Wolf's definition, 'x+3=7' is a statement and a propositional function? This doesn't make sense at all coming from my understanding of things. Is a propositional function like 'x is prime' …
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 example, you …
What's the difference between predicate and propositional logic?
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 …
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 Logic: …
propositional calculus - What is a resolution in logic. - Mathematics ...
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 two …
Propositional Logic Proof using I.P. or C.P or rules of inference
Apr 26, 2017 · I'm attempting to solve a proof my professor asked. We are able to use any of the rules of inference, Indirect Proof or Conditional Proof. Every time I think am making progress I run into a brick …
Conditional Statements: "only if" - Mathematics Stack Exchange
Dec 30, 2016 · The propositional connectives are a (very simple) mathematical model of natural language, suited for modelling very simple arguments. Their definition is through truth-table; after you …
propositional calculus - How to convert to conjunctive normal form ...
Another possibility is to make a truth table (Note, in my symantics $1=T$ and $0=F$); it is longer but this method is fail safe. $\phi= ( (a\wedge b)\vee (q \wedge r))\vee z$ then: $$\begin {array} {ccccc|c} a & …