Sequents for non-wellfounded mereology

• Autorzy: Maffezioli Paolo
• Języki publikacji: EN

Abstrakty

EN

The paper explores the proof theory of non-wellfounded mereology with binary fusions and provides a cut-free sequent calculus equivalent to the standard axiomatic system.

Słowa kluczowe

EN

mereology; sequent calculi; proof theory

• Wydawca: Uniwersytet Mikołaja Kopernika (Nicolaus Copernicus University in Toruń)
• Czasopismo: Logic and Logical Philosophy
• Rocznik: 2016
• Tom: 25
• Numer: 3 Mereology and Beyond (II)
• Strony: 351-369

Daty

online

2016-04-12

Twórcy

autor

Maffezioli Paolo

• University of Turin, Turin, Italy,

Bibliografia

• Cotnoir, A., and A. Bacon, “Non-wellfounded mereology”, The Review of Symbolic Logic, 5, 2 (2012): 187–204. DOI:10.1017/S1755020311000293
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• Dyckhoff, R., and S. Negri, “Geometrisation of first-order logic”, The Bullettin of Symbolic Logic,21,2 (2015):123–163. DOI:10.1017/bsl.2015.7
• Maffezioli, P., “Analytic rules for mereology”, Studia Logica, 104, 1 (2016): 79–114. DOI:10.1007/s11225-015-9623-2
• Negri, S., “Proof analysis beyond geometric theories: From rule systems to systems of rules”, Journal of Logic and Computation, 26, 2 (2016): 513–537. DOI:10.1093/logcom/exu037
• Negri, S., and J. von Plato, Proof Analysis. A Contribution to Hilbert’s Last Problem, Cambridge University Press, 2011. DOI:10.1017/CBO9781139003513
• Troelstra, A.S., and H. Schwichtemberg, Basic Proof Theory, Cambridge University Press, 2nd edition, 2000. DOI:10.1017/CBO9781139168717
• Varzi, A., “The extensionality of parthood and composition”, The Philosophical Quarterly, 10, 58 (2008): 108–33. DOI:10.1111/j.1467-9213.2007.542.x
• Varzi, A., “Mereology”, The Stanford Encyclopedia of Philosophy (Spring 2016 Edition), E.N. Zalta (ed.) http://plato.stanford.edu/archives/spr2016/entries/mereology/

Identyfikatory

DOI

10.12775/LLP.2016.005