Techniques for analyzing and synthesizing complex knowledge representations (KRs) may utilize an atomic knowledge representation model including both an elemental data structure and knowledge processing rules stored as machine-readable data and/or programming instructions. One or more of the knowledge processing rules may be applied to analyze an input complex KR to deconstruct its complex concepts and/or concept relationships to elemental concepts and/or concept relationships to be included in the elemental data structure. One or more of the knowledge processing rules may be applied to synthesize an output complex KR from the stored elemental data structure in accordance with an input context. Multiple input complex KRs of various types may be analyzed and deconstructed to populate the elemental data structure, and input complex KRs may be transformed through the elemental data structure to output complex KRs of different types, providing semantic interoperability to KRs of different types and/or KR models.
Please help me write a proper abstract based on the patent claims. CLAIM: 1-111. (canceled) 112. A computer-implemented method for synthesizing a complex knowledge representation, the method comprising: receiving a context from a data consumer; identifying, in accordance with the context, one or more elemental components, including a first concept, in an elemental knowledge representation comprising one or more intrinsic relationships, extrinsic relationships or some combination thereof; and applying one or more rules to the one or more elemental components, via execution of stored instructions by at least one processor, to synthesize a complex knowledge representation encoding at least one of (a) an extrinsic relationship, between the first concept and a second concept, that was not present in the elemental knowledge representation, and/or (b) a complex concept, by joining an elemental concept with the first concept, that was not present in the elemental knowledge representation; wherein one or more intrinsic relationships and one or more extrinsic relationships are included in at least one of the elemental knowledge representation, the complex knowledge representation or some combination thereof. 113. The computer-implemented method of claim 112, wherein the intrinsic relationships in the elemental knowledge representation and/or in the complex knowledge representation join concepts in sets to create complex concepts. 114. The computer-implemented method of claim 113, wherein synthesizing the complex knowledge representation comprises encoding in the complex knowledge representation an intrinsic relationship between the first concept and the complex concept created by joining the first concept with the elemental concept. 115. The computer-implemented method of claim 114, wherein the first concept and the elemental concept joined with the first concept to create the complex concept form a concept definition for the complex concept. 116. The computer-implemented method of claim 114, wherein synthesizing the complex knowledge representation comprises encoding in the complex knowledge representation both the intrinsic relationship between the first concept and the complex concept and the extrinsic relationship between the first concept and the second concept. 117. The computer-implemented method of claim 116, wherein the extrinsic relationships in the elemental knowledge representation and/or in the complex knowledge representation describe features between concept pairs. 118. The computer-implemented method of claim 117, wherein the extrinsic relationship between the first concept and the second concept encodes a hierarchical relationship between the first concept and the second concept. 119. At least one non-transitory computer-readable storage medium storing computer-executable instructions that, when executed, perform a method for synthesizing a complex knowledge representation, the method comprising: receiving a context from a data consumer; identifying, in accordance with the context, one or more elemental components, including a first concept, in an elemental knowledge representation comprising one or more intrinsic relationships, extrinsic relationships or some combination thereof; and applying one or more rules to the one or more elemental components, via execution of the stored instructions by at least one processor, to synthesize a complex knowledge representation encoding at least one of (a) an extrinsic relationship, between the first concept and a second concept, that was not present in the elemental knowledge representation, and/or (b) a complex concept, by joining an elemental concept with the first concept, that was not present in the elemental knowledge representation; wherein one or more intrinsic relationships and one or more extrinsic relationships are included in at least one of the elemental knowledge representation, the complex knowledge representation or some combination thereof. 120. The at least one non-transitory computer-readable storage medium of claim 119, wherein the intrinsic relationships in the elemental knowledge representation and/or in the complex knowledge representation join concepts in sets to create complex concepts. 121. The at least one non-transitory computer-readable storage medium of claim 120, wherein synthesizing the complex knowledge representation comprises encoding in the complex knowledge representation an intrinsic relationship between the first concept and the complex concept created by joining the first concept with the elemental concept. 122. The at least one non-transitory computer-readable storage medium of claim 121, wherein the first concept and the elemental concept joined with the first concept to create the complex concept form a concept definition for the complex concept. 123. The at least one non-transitory computer-readable storage medium of claim 121, wherein synthesizing the complex knowledge representation comprises encoding in the complex knowledge representation both the intrinsic relationship between the first concept and the complex concept and the extrinsic relationship between the first concept and the second concept. 124. The at least one non-transitory computer-readable storage medium of claim 123, wherein the extrinsic relationships in the elemental knowledge representation and/or in the complex knowledge representation describe features between concept pairs. 125. The at least one non-transitory computer-readable storage medium of claim 124, wherein the extrinsic relationship between the first concept and the second concept encodes a hierarchical relationship between the first concept and the second concept. 126. Apparatus comprising: at least one processor; and at least one storage medium storing processor-executable instructions that, when executed by the at least one processor, perform a method for synthesizing a complex knowledge representation, the method comprising: receiving a context from a data consumer; identifying, in accordance with the context, one or more elemental components, including a first concept, in an elemental knowledge representation comprising one or more intrinsic relationships, extrinsic relationships or some combination thereof; and applying one or more rules to the one or more elemental components to synthesize a complex knowledge representation encoding at least one of (a) an extrinsic relationship, between the first concept and a second concept, that was not present in the elemental knowledge representation, and/or (b) a complex concept, by joining an elemental concept with the first concept, that was not present in the elemental knowledge representation; wherein one or more intrinsic relationships and one or more extrinsic relationships are included in at least one of the elemental knowledge representation, the complex knowledge representation or some combination thereof. 127. The apparatus of claim 126, wherein the intrinsic relationships in the elemental knowledge representation and/or in the complex knowledge representation join concepts in sets to create complex concepts. 128. The apparatus of claim 127, wherein synthesizing the complex knowledge representation comprises encoding in the complex knowledge representation an intrinsic relationship between the first concept and the complex concept created by joining the first concept with the elemental concept. 129. The apparatus of claim 128, wherein the first concept and the elemental concept joined with the first concept to create the complex concept form a concept definition for the complex concept. 130. The apparatus of claim 128, wherein synthesizing the complex knowledge representation comprises encoding in the complex knowledge representation both the intrinsic relationship between the first concept and the complex concept and the extrinsic relationship between the first concept and the second concept. 131. The apparatus of claim 130, wherein the extrinsic relationships in the elemental knowledge representation and/or in the complex knowledge representation describe features between concept pairs.