2018/04/27 by Reyes, Eduardo Hermo
#FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.1804.10452
In arXiv:1604.08705 we introduced the propositional modal logic TSC (which stands for Turing Schmerl Calculus) which adequately describes the provable interrelations between different kinds of Turing progressions. In arXiv:1709.04715 we defined a model J which is proven to be a universal model for TSC based on the intensively studied Ignatiev's universal model for the closed fragment of GLP (Gödel Löb's polymodal provability logic). In the current paper we present a new universal frame H, which is a slight modification of J, and whose domain allows for a modal definability of each of its worlds.