A Logic for Reasoning About Qualitative Probability
Angelina Ilić-Stepić (2010)
Publications de l'Institut Mathématique
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Displaying similar documents to “A Logic with Conditional Probability Operators”
A Logic for Reasoning About Qualitative Probability
Completeness theorem for logic with imprecise and conditional probabilities.
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The Derivations of Temporal Logic Formulas
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This is a preliminary article to prove the completeness theorem of an extension of basic propositional temporal logic. We base it on the proof of completeness for basic propositional temporal logic given in [12]. We introduce n-ary connectives and prove their properties. We derive temporal logic formulas.
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In [vB88], Johan van Benthem introduces Relational Semantics (RelSem for short), and states Soundness Theorem for Lambek Calculus (LC) w.r.t. RelSem. After doing this, he writes: "it would be very interesting to have the converse too", i.e., to have Completeness Theorem. The same question is in [vB91, p. 235]. In the following, we state Strong Completeness Theorems for different versions of LC.
The Properties of Sets of Temporal Logic Subformulas
Mariusz Giero (2012)
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This is a second preliminary article to prove the completeness theorem of an extension of basic propositional temporal logic. We base it on the proof of completeness for basic propositional temporal logic given in [17]. We introduce two modified definitions of a subformula. In the former one we treat until-formula as indivisible. In the latter one, we extend the set of subformulas of until-formulas by a special disjunctive formula. This is needed to construct a temporal model. We also...
Corcoran's Aristotelian syllogistic as a subsystem of first-order logic.
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An extension of the probability logic
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