On Model Checking Boolean BI [chapter]

Heng Guo, Hanpin Wang, Zhongyuan Xu, Yongzhi Cao
2009 Lecture Notes in Computer Science  
The logic of bunched implications (BI), introduced by O'Hearn and Pym, is a substructural logic which freely combines additive and multiplicative implications. Boolean BI (BBI) denotes BI with classical interpretation of additives and its model is the commutative monoid. We show that when the monoid is finitely generated and propositions are recursively defined, or the monoid is infinitely generated and propositions are restricted to generator propositions, the model checking problem is
more » ... ble. In the case of finitely related monoid and generator propositions, the model checking problem is EXPSPACE-complete.
doi:10.1007/978-3-642-04027-6_23 fatcat:xectrvfdgvazblmgpisofed4ba