LEADER 05116nam 22006735 450 001 9910300152203321 005 20200630151629.0 010 $a94-007-7548-2 024 7 $a10.1007/978-94-007-7548-0 035 $a(CKB)3710000000092914 035 $a(EBL)1783734 035 $a(OCoLC)872372756 035 $a(SSID)ssj0001186976 035 $a(PQKBManifestationID)11787430 035 $a(PQKBTitleCode)TC0001186976 035 $a(PQKBWorkID)11243751 035 $a(PQKB)11234063 035 $a(MiAaPQ)EBC1783734 035 $a(DE-He213)978-94-007-7548-0 035 $a(PPN)177825383 035 $a(EXLCZ)993710000000092914 100 $a20140301d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAdvances in Natural Deduction$b[electronic resource] $eA Celebration of Dag Prawitz's Work /$fedited by Luiz Carlos Pereira, Edward Haeusler, Valeria de Paiva 205 $a1st ed. 2014. 210 1$aDordrecht :$cSpringer Netherlands :$cImprint: Springer,$d2014. 215 $a1 online resource (288 p.) 225 1 $aTrends in Logic, Studia Logica Library,$x1572-6126 ;$v39 300 $aDescription based upon print version of record. 311 $a94-007-7547-4 320 $aIncludes bibliographical references at the end of each chapters. 327 $aChapter 1. Generalizaed elimination inferences; Schroeder-Heister, Peter -- Chapter 2. Revisiting Zucker's work on the Correspondence between Cut-Elimination and Normalisation; Urban, Christian -- Chapter 3. Proofs, Reasoning and the Metamorphosis of Logic; Joinet, Jean-Baptiste -- Chapter 4. Natural Deduction for Equality: The Missing Entity; de Quieroz, Ruy J.G.B. and de Oliveira, Anjolina G -- Chapter 5. Proof-theoretical Conception of Logic; Legris, Javier -- Chapter 6. On the Structure of Natural deduction Derivations for "Generally"; Vana, Leonardo B., Veloso, Paulo A.S. , and Veloso, Sheila R.M -- Chapter 7. Type Theories from Barendregt's Cube for Theorem Provers; Seldin, Jonathan P -- Chapter 8. What is propositional logic, a theory of, if anything?; Chateaubriand, Oswaldo -- Chapter 9. Categorical Semantics of Linear Logic for All; de Paiva, Valeria -- Chapter 10. Rough sets and proof-theory; Bellin, Gianluigi -- Chapter 11. Decomposition of Reduction; Zimmermann, Ernst -- Chapter 12. An approach to general proof theory and a conjecture of a kind of completeness of intuitionistic logic revisited; Prawitz, Dag. 330 $aThis collection of papers celebrating the contributions of Swedish logician Dag Prawitz to Proof Theory, has been assembled from those presented at the Natural Deduction conference organized in Rio de Janeiro to honour his seminal research. Dag Prawitz?s work forms the basis of intuitionistic type theory and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics in Logic, Linguistics and Theoretical Computer Science. The range of contributions includes material on the extension of natural deduction with higher-order rules, as opposed to higher-order connectives, and a paper discussing the application of natural deduction rules to dealing with equality in predicate calculus. The volume continues with a key chapter summarizing work on the extension of the Curry-Howard isomorphism (itself a by-product of the work on natural deduction), via methods of category theory that have been successfully applied to linear logic, as well as many other contributions from highly regarded authorities. With an illustrious group of contributors addressing a wealth of topics and applications, this volume is a valuable addition to the libraries of academics in the multiple disciplines whose development has been given added scope by the methodologies supplied by natural deduction. The volume is representative of the rich and varied directions that Prawitz work has inspired in the area of natural deduction. . 410 0$aTrends in Logic, Studia Logica Library,$x1572-6126 ;$v39 606 $aLogic 606 $aMathematical logic 606 $aLogic$3https://scigraph.springernature.com/ontologies/product-market-codes/E16000 606 $aMathematical Logic and Formal Languages$3https://scigraph.springernature.com/ontologies/product-market-codes/I16048 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 615 0$aLogic. 615 0$aMathematical logic. 615 14$aLogic. 615 24$aMathematical Logic and Formal Languages. 615 24$aMathematical Logic and Foundations. 676 $a160 702 $aPereira$b Luiz Carlos$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHaeusler$b Edward$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $ade Paiva$b Valeria$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300152203321 996 $aAdvances in natural deduction$91410010 997 $aUNINA