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 …
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 (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 …
logic - Translating "neither...nor" into a mathematical logical ...
Explore related questions logic propositional-calculus See similar questions with these tags.
Proving De Morgan's Law with Natural Deduction
Feb 26, 2015 · Explore related questions logic propositional-calculus natural-deduction See similar questions with these tags.
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 …
Associativity of logical connectives - Mathematics Stack Exchange
According to the precedence of logical connectives, operator $\\rightarrow$ gets higher precedence than $\\leftrightarrow$ operator. But what about associativity of $\\rightarrow$ …
Difference between implies and "turnstile" symbols (→ and ⊢)
Mar 4, 2022 · According to Wikipedia's list of logic symbols: A → B means A → B is false when A is true and B is false but true otherwise. A ⊢ B means x ⊢ y means x proves (syntactically …
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 …
discrete mathematics - Prove or disprove (p→q)→r and p→ (q→r) …
May 25, 2022 · I was able to show using a truth table that the two statements (p→q)→r and p→(q→r) are NOT equivalent, I need to now verify using equivalence laws, and I'm stuck. Any …