Representing and reasoning about spatial knowledge based on spatial relevant logic

Almost all existing methodologies for representing and reasoning about spatial knowledge are somehow based on classical mathematical logic or its various conservative extensions. This approach, however, may be suitable to searching and describing a formal proof of a previously specified statement, under the condition that we have complete and consistent knowledge., but not necessarily suitable to forming a new concept and discovering a new statement, in particular, in the case that our knowledge is incomplete and inconsistent. This paper proposes a new approach: representing and reasoning about spatial knowledge based on spatial relevant logic.