A SAHLQVIST THEOREM FOR SUBSTRUCTURAL LOGIC

作者:Suzuki Tomoyuki*
来源:Review of Symbolic Logic, 2013, 6(2): 229-253.
DOI:10.1017/S1755020313000026

摘要

In this paper, we establish the first-order definability of sequents with consistent variable occurrence on bi-approximation semantics by means of the Sahlqvist-van Benthem algorithm. Then together with the canonicity results in Suzuki (2011), this allows us to establish a Sahlqvist theorem for substructural logic. Our result is not limited to substructural logic but is also easily applicable to other lattice-based logics.

  • 出版日期2013-6