TY - JOUR
AU - Alizadeh, Majid
AU - Bibak, Ali
PY - 2018/11/18
Y2 - 2023/03/28
TI - Remarks on Stable Formulas in Intuitionistic Logic
JF - Logic and Logical Philosophy
JA - LLP
VL - 28
IS - 2
SE - Articles
DO - 10.12775/LLP.2018.017
UR - https://apcz.umk.pl/LLP/article/view/LLP.2018.017
SP - 209-222
AB - <p>ONNILLI-formulas were introduced in [2] and were shown to be the set of formulas that are preserved under monotonic images of descriptive or Kripke frames. As a result, ONNILLI is a syntactically defined set of formulas that axiomatize all stable logics. In this paper, among other things, by proving the uniform interpolation property for ONNILLI we show that ONNILLI is exactly the set of formulas that are preserved in monotonic bijections of descriptive or (finite) Kripke models. This resolves an open problem in [2].</p>
ER -