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An alternative Gentzenisation of RW + ∘
Author(s) -
Ilić Mirjana
Publication year - 2016
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201400084
Subject(s) - mathematics , sequent , sequent calculus , decidability , calculus (dental) , constant (computer programming) , discrete mathematics , contraction (grammar) , programming language , computer science , philosophy , mathematical proof , linguistics , geometry , medicine , dentistry
In this paper, we give a sequent calculus GRW + ∘ for the positive contraction‐less relevant logic RW + ∘ and we give a proof that it is cut‐free without the use of the truth constant t . Based on GRW + ∘ , we re‐prove the decidability of the logic RW + ∘ .