{"product_id":"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 \u003cp\u003e• N4, \u003cbr\u003e• its fragments, including first-degree entailment logic, \u003cbr\u003e• related logics, such as trilattice logics, connexive systems, systems of symmetric and dual paraconsistent logic, and variations of bi-intuitionistic logic,\u003cbr\u003e• paraconsistent temporal logics, \u003cbr\u003e• substructural subsystems of N4, such as paraconsistent intuitionistic linear logics, paraconsistent logics based on involutive quantales, and paraconsistent Lambek logics.\u003c\/p\u003e\u003cp\u003eAlthough 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","brand":"College Publications","offers":[{"title":"Default Title","offer_id":47062824878320,"sku":"9781848901674","price":20.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781848901674_p0.jpg?v=1763751245","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781848901674","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}