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Bilattices with Implications

Studia Logica, 2013
A bilattice is an algebra \(\mathbf{B} = \langle B, \land,\lor,\otimes,\oplus, \neg \rangle\) such that the reducts \(\langle B,\land, \lor \rangle\) and \(\langle B,\otimes,\oplus, \rangle\) are both lattices and the negation \(\neg\) is a unary operation anti-monotone relative to both orders and such that for every \(a \in B\) we have \(a = \neg \neg
Félix Bou, Umberto Rivieccio
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Open Implication

2008
We argue that the usual trace-based notions of implication and equivalence for linear temporal logics are too strong and should be complemented by the weaker notions of open implication and open equivalence. Although open implication is harder to compute, it can be used to advantage both in model checking and in synthesis.
Greimel K.   +3 more
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A class of implications related to Yager’s f-implications

Information Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dana Hlinená   +2 more
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Erotetic implications

Journal of Philosophical Logic, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ordering of Implicants

IEEE Transactions on Electronic Computers, 1967
Correspondence between logical relations of Boolean function implicants and numerical relations between ...
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Prime Implicates and Reduced Implicate Tries

2009
The reduced implicate trie (ri -trie) is a data structure that was introduced as a target language for knowledge compilation. It has the property that, even when large, it guarantees fast response to queries. It also has the property that each prime implicate of the formula it represents corresponds to a branch.
Neil V. Murray, Erik Rosenthal
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Constructive negation, implication, and co-implication

Journal of Applied Non-Classical Logics, 2008
In this paper, a family of paraconsistent propositional logics with constructive negation, constructive implication, and constructive co-implication is introduced.
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Synthesizing implications

International Journal of Intelligent Systems, 1992
Summary: We study some problems of synthesizing implications by using quasi- arithmetic means. By solving several functional equations some interesting characterizations are obtained.
Claudi Alsina, Enric Trillas
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Simplified Axiom Schemes for Implication and Iterated Implication

Mathematical Logic Quarterly, 1985
Let C be the primitive implication functor of Łukasiewicz [\textit{J. Łukasiewicz} and \textit{A. Tarski}, Untersuchungen über den Aussagenkalkül, C. R. Soc. Sci. Varsovie, Classe III 23, 30-50 (1930)] and let \(I_ jPQ=_ T(CP)^ jQ,\) and \(I'_ jPQ=_ TI_ jQP (j=1,2,...).\) We obtain a complete formalisation of the m-valued \((m>2)\) propositional ...
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Comment: Implications of Implication Analysis

Sociological Methodology, 2008
* We do not test theories-we evaluate them. Rarely if ever does a single "crucial test" establish or falsify a theory. Instead of futile searches for crucial tests, social scientists should evaluate theories on the basis of the weight of the evidence from a wide range of relevant evidence.
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