{"product_id":"proof-theory-of-n4-paraconsistent-logics-norihiro-kamide-9781848901674","title":"Proof Theory of N4-Paraconsistent Logics","description":"The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nelson. The volume brings together a number of papers the authors have written separately or jointly on various systems of inconsistency-tolerant logic. The material covers the structural proof theory of - N4, - its fragments, including first-degree entailment logic, - related logics, such as trilattice logics, connexive systems, systems of symmetric and dual paraconsistent logic, and variations of bi-intuitionistic logic, - paraconsistent temporal logics, - substructural subsystems of N4, such as paraconsistent intuitionistic linear logics, paraconsistent logics based on involutive quantales, and paraconsistent Lambek logics. Although the proof-theory of N4 and N4-related logics is the central theme of the present monograph, models and model-theoretic semantics also play an important role in the presentation. The relational, Kripke-style models that are dealt with provide a motivating and intuitively appealing insight into the logics with respect to which they are shown to be sound and complete. Nevertheless, the emphasis is on Gentzen-style proof systems -in particular sequent calculi of a standard and less standard kind- for paraconsistent logics, and cut-elimination and its consequences are a central topic throughout. A unifying element of the presentation is the repeated application of embedding theorems in order to transfer results from other logics such as intuitionistic logic to the paraconsistent case.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Norihiro Kamide, Heinrich Wansing\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1848901674\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781848901674\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e College Publications\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/20\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 414\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.27lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.85d","brand":"Norihiro Kamide","offers":[{"title":"Paperback","offer_id":45478803046655,"sku":"9781848901674","price":25.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_829bb125-7841-4409-8bcb-ff1853f875e0.jpg?v=1715935770","url":"https:\/\/www.whiterainbookhouse.com\/products\/proof-theory-of-n4-paraconsistent-logics-norihiro-kamide-9781848901674","provider":"WR Book House","version":"1.0","type":"link"}