A Survey on the Oscillation of Delay Equations With a Monotone or Non-Monotone Argument
Springer Proceedings in Mathematics and Statistics, 2018Consider the first-order linear differential equation $$\begin{aligned} x^{\prime }(t)+p(t)x(\tau (t))=0,\;\;\;t\ge t_{0}, \end{aligned}$$ where the functions \(p,\tau \in C([t_{0,}\infty ),\mathbb {R}^{+})\), (here \( \mathbb {R}^{+}=[0,\infty )),\tau (t)\le t\) for \(t\ge t_{0}\) and \( \lim _{t\rightarrow \infty }\tau (t)=\infty .\) A survey ...
Ioannis Stavroulakis
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Why Non-Monotonic Logic is Inadequate to Represent Balancing Arguments
Artificial Intelligence and Law, 2003This paper analyses the logical structure of the balancing of conflicting normative arguments, and asks whether non-monotonic logic is adequate to represent this type of legal or practical reasoning. Norm conflicts are often regarded as a field of application for nonmonotonic logics. This paper argues, however, that the balancing of normative arguments
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“Should one not ask God for more?”: the non-monotonicity of constitutional argumentation
Sravnitel noe konstitucionnoe obozrenie, 2023The decision-making process is often faced with uncertainty and a lack of necessary information. Therefore, decision makers sometimes have to limit their reasoning to the available data and replace unknown variables with certain assumptions. Accordingly, as new information becomes available, the findings can and should be revised. The premises on which
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Preference Reasoning for Argumentation: Non-monotonicity and Algorithms
2006peer ...
Kaci, Souhila, van Der Torre, L.
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Knowledge Representation, Scientific Argumentation and Non-monotonic Logic
Models developed by the knowledge representation and reasoning community permit us to study defeasible inference based on argumentation and data. Scientific reasoning progresses by evaluating scientific hypotheses based on data and meta-evidence. Meta-evidence can be understood as arguments for discounting or even ignoring data or other meta-evidence ...Landes, Jürgen +2 more
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From Logic Programming and Non-monotonic Reasoning to Computational Argumentation and Beyond
2017Argumentation has gained popularity in AI in recent years to support several activities and forms of reasoning. This talk will trace back the logic programming and non-monotonic reasoning origins of two well-known argumentation formalisms in AI (namely abstract argumentation and assumption-based argumentation).
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From non-monotonic syntax-based entailment to preference-based argumentation
1995We briefly discuss and compare two frameworks for reasoning with inconsistent belief bases: argumentation systems, based on the construction and selection of acceptable arguments in favor of a conclusion, and syntax-based approaches to non-monotonic entailment, based on the selection of preferred consistent subbases.
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Oscillatory Behavior For Nonlinear Delay Difference Equation With Non-Monotone Arguments
Dynamic Systems and Applications, 2022Aysenur Ocalan +2 more
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Oscillation of First-Order Differential Equations With Several Non-Monotone Retarded Arguments
Georgian Mathematical Journal, 2020Huseyin Bereketoglu +2 more
exaly
A Survey on the Oscillation of Differential Equations with Several Non-Monotone Arguments
Applied Mathematics & Information Sciences, 2018G. M. Moremedi, I. P. Stavroulakis
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