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Description
  • We develop canonical rules capable of axiomatizing all systems of multiple-conclusion rules over K4 or IPC, by extension of the method of canonical formulas by Zakharyaschev [37]. e use the framework to give an alternative proof of the known analysis of admissible rules in basic transitive logics which additionally yields the following dichotomy: any canonical rule is either admissible in the logic, or it is equivalent to an assumption-free rule. Other applications of canonical rules include a generalization of the Block-Esakia theorem and the theory of modal companions to systems of multiple-conclusion rules or (finitary structural global) consequence relations, and a characterization of splittings in the lattices of consequence relations over monomodal or superintuitionistic logics with the finite model property.
  • We develop canonical rules capable of axiomatizing all systems of multiple-conclusion rules over K4 or IPC, by extension of the method of canonical formulas by Zakharyaschev [37]. e use the framework to give an alternative proof of the known analysis of admissible rules in basic transitive logics which additionally yields the following dichotomy: any canonical rule is either admissible in the logic, or it is equivalent to an assumption-free rule. Other applications of canonical rules include a generalization of the Block-Esakia theorem and the theory of modal companions to systems of multiple-conclusion rules or (finitary structural global) consequence relations, and a characterization of splittings in the lattices of consequence relations over monomodal or superintuitionistic logics with the finite model property. (en)
Title
  • Canonical Rules
  • Canonical Rules (en)
skos:prefLabel
  • Canonical Rules
  • Canonical Rules (en)
skos:notation
  • RIV/67985840:_____/09:00330849!RIV10-AV0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA1019401), P(IAA900090703), Z(AV0Z1019905)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 305823
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/09:00330849
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • inference rule; modal logic; intermediate logic (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [A0C48888FC87]
http://linked.open...i/riv/nazevZdroje
  • Journal of Symbolic Logic
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 74
http://linked.open...iv/tvurceVysledku
  • Jeřábek, Emil
http://linked.open...ain/vavai/riv/wos
  • 000272410200006
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-4812
number of pages
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