منابع مشابه
Representation Theorems for Quantales
In this paper we prove that any quantale Q is (isomorphic to) a quantale of suitable relations on Q. As a consequence two isomorphism theorems are also shown with suitable sets of functions of Q into Q. These theorems are the mathematical background one needs in order to give natural and complete semantics for (non-commutative) Linear Logic using relations. 1991 Mathematics Subject Classificati...
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The representation theorems of expected utility theory show that having certain types of preferences is both necessary and sufficient for being representable as having subjective probabilities. However, unless the expected utility framework is simply assumed, such preferences are also consistent with being representable as having degrees of belief that do not obey the laws of probability. This ...
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Given a set of propositions, one can consider its inconsistency hypergraph. Then the satisfiability of sets of clauses with respect to that hypergraph (see [1], [6]) turns out to be the usual satisfiability. The problem is which hypergraphs can be obtained from sets of formulas as inconsistency hypergraphs. In the present paper it is shown that this can be done for all hypergraphs with countabl...
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This paper retraces, collects, summarises, and mildly extends the contributions of the authors — both together and individually — on the theme of representing the space of computations of Petri nets in its mathematical essence.
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Professor Rasiowa [HR49] considers implication algebras (A,⇒, V ) such that ⇒ is a binary operation on the universe A and V ∈ A. In particular, there are studied implicative algebras, positive implication algebras and implication algebras; the second kind corresponds to the logic of positive implication, and the third one to the logic of classical implication. In each case, the distinguished el...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1968
ISSN: 0002-9939
DOI: 10.2307/2035530