{"product_id":"depth-bounded-reasoning-classical-propositional-logic-marcello-dagostino-9781848904422","title":"Depth-bounded Reasoning. Classical Propositional Logic","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe \"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.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eHowever, 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Marcello D'Agostino, Dov Gabbay, Costanza Larese\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1848904428\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781848904422\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e College Publications\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/11\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 252\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.79lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.25h x 6.13w x 0.53d","brand":"Marcello D'Agostino","offers":[{"title":"Paperback","offer_id":46602898473215,"sku":"9781848904422","price":22.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_3e8fe232-9bd5-4cfe-9bdd-2a7602c5ba60.jpg?v=1739695615","url":"https:\/\/www.whiterainbookhouse.com\/products\/depth-bounded-reasoning-classical-propositional-logic-marcello-dagostino-9781848904422","provider":"WR Book House","version":"1.0","type":"link"}