Giorgi Japaridze and Dick de Jongh. The logic of provability. Handbook of proof theory, edited by Samuel R. Buss, Studies in logic and the foundations of mathematics, vol. 137, Elsevier, Amsterdam etc. 1998, pp. 475–546.
Toshiyasu Arai · Bulletin of Symbolic Logic · 2000
Giorgi Japaridze and Dick de Jongh. The logic of provability. Handbook of proof theory, edited by Samuel R. Buss, Studies in logic and the foundations of mathematics, vol. 137, Elsevier, Amsterdam etc. 1998, pp. 475–546. - Volume 6 Issue 4