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dc.contributor.authorMilne, Peteren_UK
dc.contributor.editorWansing, Hen_UK
dc.description.abstractFollowing Gentzen’s practice, borrowed from intuitionist logic, Prawitz takes the introduction rule(s) for a connective to show how to prove a formula with the connective dominant. He proposes an inversion principle to make more exact Gentzen’s talk of deriving elimination rules from introduction rules. Here I look at some recent work pairing Gentzen’s introduction rules with general elimination rules. After outlining a way to derive Gentzen’s own elimination rules from his introduction rules, I give a very different account of introduction rules in order to pair them with general elimination rules in such a way that elimination rules can be read off introduction rules, introduction rules can be read off elimination rules, and both sets of rules can be read off classical truth-tables. Extending to include quantifiers, we obtain a formulation of classical first-order logic with the subformula property.en_UK
dc.relationMilne P (2015) Inversion principles and introduction rules. In: Wansing H (ed.) Dag Prawitz on Proofs and Meaning. first ed. Outstanding Contributions to Logic, 7. Cham, Heidelberg, New York, Dordrecht, London: Springer, pp. 189-224.
dc.relation.ispartofseriesOutstanding Contributions to Logic, 7en_UK
dc.rightsThe publisher does not allow this work to be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study.en_UK
dc.subjectIntroduction rulesen_UK
dc.subjectElimination rulesen_UK
dc.subjectGeneral elimination rulesen_UK
dc.subjectInversion principleen_UK
dc.subjectSequent calculusen_UK
dc.titleInversion principles and introduction rulesen_UK
dc.typePart of book or chapter of booken_UK
dc.rights.embargoreason[MILNE Inversion principles and introduction rules PRAWITZ Festschrift REVISED.pdf] The publisher does not allow this work to be made publicly available in this Repository therefore there is an embargo on the full text of the work.en_UK
dc.type.statusAM - Accepted Manuscripten_UK
dc.citation.btitleDag Prawitz on Proofs and Meaningen_UK
dc.publisher.addressCham, Heidelberg, New York, Dordrecht, Londonen_UK
dc.subject.tagPhilosophy of Logicen_UK
rioxxterms.typeBook chapteren_UK
local.rioxx.authorMilne, Peter|en_UK
local.rioxx.projectInternal Project|University of Stirling|
local.rioxx.contributorWansing, H|en_UK
local.rioxx.filenameMILNE Inversion principles and introduction rules PRAWITZ Festschrift REVISED.pdfen_UK
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