Download e-book for iPad: Advances in Natural Deduction: A Celebration of Dag by Luiz Carlos Pereira, Edward Hermann Haeusler, Valeria de

By Luiz Carlos Pereira, Edward Hermann Haeusler, Valeria de Paiva

ISBN-10: 9400775474

ISBN-13: 9789400775473

ISBN-10: 9400775482

ISBN-13: 9789400775480

This selection of papers, celebrating the contributions of Swedish philosopher Dag Prawitz to evidence idea, has been assembled from these provided on the typical Deduction convention prepared in Rio de Janeiro to honour his seminal learn. Dag Prawitz’s paintings varieties the foundation of intuitionistic sort concept and his inversion precept constitutes the basis of latest bills of proof-theoretic semantics in good judgment, Linguistics and Theoretical desktop Science.

The variety of contributions contains fabric at the extension of common deduction with higher-order principles, in preference to higher-order connectives, and a paper discussing the appliance of normal deduction principles to facing equality in predicate calculus. the quantity maintains with a key bankruptcy summarizing paintings at the extension of the Curry-Howard isomorphism (itself a spinoff of the paintings on normal deduction), through tools of class conception which have been effectively utilized to linear common sense, in addition to many different contributions from extremely popular professionals. With an illustrious workforce of members addressing a wealth of issues and purposes, this quantity is a worthwhile addition to the libraries of lecturers within the a number of disciplines whose improvement has been given further scope by means of the methodologies provided by way of usual deduction. the quantity is consultant of the wealthy and sundry instructions that Prawitz paintings has encouraged within the zone of ordinary deduction.

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Here it is assumed that below A → B there is no formula of the incriminated kind (in particular, C is not of that kind). 11 This gives us a normal form theorem according to which every derivation based on generalizedHL elimination inferences can be transformed into a derivation with major premisses of elimination inferences standing always in top position. 41), who speaks of a major premiss of an elimi- 10 Following [23], a segment is a succession of formula occurrences of the same form C such that immediately succeeding occurrences are minor premiss C and conclusion C of a generalizedHL elimination step.

2006), Stockholm. 24. Prawitz, D. (1971). Ideas and results in proof theory. In J. E. ), Proceedings of the Second Scandinavian Logic Symposium (Oslo 1970) (pp. 235–308). Amsterdam: NorthHolland. 25. Prawitz, D. (1979). Proofs and the meaning and completeness of the logical constants. In J. Hintikka, I. Niiniluoto & E. ), Essays on Mathematical and Philosophical Logic: Proceedings of the Fourth Scandinavian Logic Symposium and the First Soviet-Finnish Logic Conference, Jyväskylä, Finland, June 29 - July 6, 1976 (pp.

On inversion principles. History and Philosophy of Logic, 29, 103–113. 17. , & von Plato, J. (2001). Structural Proof Theory. Cambridge: Cambridge University Press. 18. Olkhovikov, G. , & Schoeder-Heister, P. (2014). On flattening elimination rules. Review of Symbolic Logic, 7. 19. Olkhovikov, G. , & Schoeder-Heister, P. (2014). Proof-theoretic harmony and the levels of rules: General non-flattening results. In E. Moriconi & L. ), Second Pisa Colloquim in Logic, Language and Epistemology. ETS, Pisa.

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Advances in Natural Deduction: A Celebration of Dag Prawitz's Work by Luiz Carlos Pereira, Edward Hermann Haeusler, Valeria de Paiva

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