from Wiktionary, Creative Commons Attribution/Share-Alike License
- adj. Of or pertaining to logical implication
from the GNU version of the Collaborative International Dictionary of English
- adj. arousing a mental association; evocative.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- adj. relating to or concerned with logical implication
Sorry, no etymologies found.
I already see the two implicational poles of this with the digital reproduction and distribution of music — old music ceases to gain an advantage from the imprimatur of age, but also ceases to suffer in comparison with music of greater chronological novelty.
Prior's interest in economical bases for propositional and pure implicational logics, initially aroused by his study of Peirce, was stimulated by Åukasiewicz's article
This article discusses related contextual and implicational issues.
M has no type, because an implicational formula is never identical to its own antecedent.
(When implicational formulas are considered as types, the usual convention is to omit parentheses by association to the right.)
First, a correspondence between formulas that are provable in the implicational fragment of intuitionistic logic and the typable combinatory terms was discovered.
The correspondence between implicational theorems of intuitionistic logic (and their proofs) and typable closed Î»-terms
In other words, the implicational fragments of classical and intuitionistic logics, and the implicational fragments of the relevance logics R, E and T are all
Then the isomorphism was generalized to other combinatory bases and implicational logics (such as the logic of relevant implication, exponential-free linear logic, affine logic, etc.).
The theorem is the typed equivalent of the decidability of the implicational fragment of the logic of relevant implication.