Depth-bounded Reasoning. Classical Propositional Logic
Language: English
Published by College Publications Nov 2024, 2024
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Neuware - The 'cost of reasoning', i.e., the cognitive or computational effort required by non-ideal, resource-bounded (human or artificial) agents in order to perform non-trivial inferences, is a crucial issue in philosophy, AI, economics and cognitive (neuro)science. Accounting for this fundamental variable in modelling real-world reasoning and decision-making is one of the most important and difficult challenges in the theory of rationality. With this volume, we are launching a series that, under the general title of 'Logic and Bounded Rationality', aims to create a community of researchers from several areas that wish to cooperate towards a systematic logical view of bounded rationality.However, a key stumbling block for any effort in this direction, is that a basic component of many reasoning and decision making tasks, namely deductive reasoning in propositional logic, is computationally hard. Hence, in this first volume of the series we offer a novel view of classical propositional logic. We present an 'informational semantics' for the classical operators whose proof-theoretical presentation is a system of classical natural deduction that, unlike Gentzen's and Prawitz's systems, yields a simple way of measuring the 'depth' of an inference. This approach leads to defining, in a natural way, a sequence of tractable depth-bounded deduction systems. As recent applications in formal argumentation and non-monotonic reasoning suggest, our approach provides a plausible model for representing rational agents with increasing, albeit limited, computational resources.…
Seller Inventory # 9781848904422
- Title
- Depth-bounded Reasoning. Classical Propositional Logic
- Author
- Costanza Larese
- Publisher
- College Publications Nov 2024
- Publication year
- 2024
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 1848904428
- ISBN 13
- 9781848904422
- Item weight
- 358 grams
- Dimensions
- 235x156x13 mm
The "cost of reasoning", i.e., the cognitive or computational effort required by non-ideal, resource-bounded (human or artificial) agents in order to perform non-trivial inferences, is a crucial issue in philosophy, AI, economics and cognitive (neuro)science. Accounting for this fundamental variable in modelling real-world reasoning and decision-making is one of the most important and difficult challenges in the theory of rationality. With this volume, we are launching a series that, under the general title of "Logic and Bounded Rationality", aims to create a community of researchers from several areas that wish to cooperate towards a systematic logical view of bounded rationality.
However, a key stumbling block for any effort in this direction, is that a basic component of many reasoning and decision making tasks, namely deductive reasoning in propositional logic, is computationally hard. Hence, in this first volume of the series we offer a novel view of classical propositional logic. We present an "informational semantics" for the classical operators whose proof-theoretical presentation is a system of classical natural deduction that, unlike Gentzen's and Prawitz's systems, yields a simple way of measuring the "depth" of an inference. This approach leads to defining, in a natural way, a sequence of tractable depth-bounded deduction systems. As recent applications in formal argumentation and non-monotonic reasoning suggest, our approach provides a plausible model for representing rational agents with increasing, albeit limited, computational resources.
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