1. An apparatus comprising: at least one processing device comprising a processor coupled to a memory and implementing a behavioral security analysis system, the behavioral security analysis system comprising: a computational semantic parser configured to process data associated with a security information and event management system to generate a plurality of logical descriptors, the data comprising log data of the security information and event management system; and a learning engine coupled to the computational semantic parser and configured to generate a plurality of behavioral security descriptors based at least in part on at least a subset of the logical descriptors; wherein the behavioral security descriptors are made accessible to an alerting engine of the security information and event management system and utilized to generate one or more security alerts; and wherein the computational semantic parser comprises: a syntactic decomposition module configured to decompose at least a portion of the log data into component elements comprising respective atomic syntactic units; a lexical meaning assignment module configured to assign lexical meanings to the component elements utilizing metadata associated with the component elements and a lexicon of syntactic types, the metadata comprising position information and attributes associated with the atomic syntactic units; a denotation assignment module configured to assign context denotation information to the component elements; and a semantic recomposition module configured to generate a given logical descriptor based on at least one combinatorial tree having nodes associated with respective ones of the component elements and a tree structure determined using the assigned lexical meanings and context denotation information.