@article {IOPORT.05925529, author = {Hor\v{c}{\'\i}k, Rostislav and Terui, Kazushige}, title = {Disjunction property and complexity of substructural logics.}, year = {2011}, journal = {Theoretical Computer Science}, volume = {412}, number = {31}, issn = {0304-3975}, pages = {3992-4006}, publisher = {Elsevier Science Publishers, Amsterdam}, doi = {10.1016/j.tcs.2011.04.004}, abstract = {Summary: We systematically identify a large class of substructural logics that satisfy the disjunction property (DP), and show that every consistent substructural logic with the DP is PSPACE-hard. Our results are obtained by using algebraic techniques. PSPACE-completeness for many of these logics is furthermore established by proof-theoretic arguments.}, identifier = {05925529}, }