|Appears in Collections:||Law and Philosophy Book Chapters and Sections|
|Title:||Inversion principles and introduction rules|
|Citation:||Milne 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.|
General elimination rules
|Series/Report no.:||Outstanding Contributions to Logic, 7|
|Abstract:||Following 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.|
|Rights:||The 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.|
|MILNE Inversion principles and introduction rules PRAWITZ Festschrift REVISED.pdf||278.42 kB||Adobe PDF||Under Embargo until 31/12/2999 Request a copy|
Note: If any of the files in this item are currently embargoed, you can request a copy directly from the author by clicking the padlock icon above. However, this facility is dependant on the depositor still being contactable at their original email address.
This item is protected by original copyright
Items in the Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
If you believe that any material held in STORRE infringes copyright, please contact email@example.com providing details and we will remove the Work from public display in STORRE and investigate your claim.