{"product_id":"proof-theory-of-n4-paraconsistent-logics-paperback","title":"Proof Theory of N4-Paraconsistent Logics - Paperback","description":"\u003cp\u003eby \u003cb\u003eNorihiro Kamide\u003c\/b\u003e (Author), \u003cb\u003eHeinrich Wansing\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 414\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.85 x 9.21 x 6.14 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e January 20, 2015\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42735157772351,"sku":"9781848901674","price":44.06,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/c528dda9dcdc33d73af4ca25f457d9bc.webp?v=1765142437","url":"https:\/\/dhlswag.com\/products\/proof-theory-of-n4-paraconsistent-logics-paperback","provider":"BBB","version":"1.0","type":"link"}