Symbolic models and computational properties of constructive reasoning in cognition and creativity Tarek R. Besold Digital Media Lab Center for Computing and Communication Technologies (TZI) University of Bremen, Germany tarek.besold@uni-bremen.de Abstract Analogy is one of the most studied forms of non-classical reasoning working across different domains, usually taken to play a crucial role in creative thought and problem-solving. In the first part of the talk, I will introduce general principles of computational analogy models (re- lying on a generalisation-based approach to analogy-making). We will then have a closer look at Heuristic-Driven Theory Projection (HDTP) as an example for a theoretical framework and implemented system: HDTP computes analogical relations and inferences for domains which are represented using many-sorted first-order logic languages, apply- ing a restricted form of higher-order anti-unification for finding shared structural elements common to both domains. The presentation of the framework will be followed by a few reflections on the cognitive plausibility of the approach motivated by theoretical complexity and tractability considerations. In the second part I will touch upon sev- eral applications of HDTP to modeling important cognitive capacities, including concept blending processes as current hot topic in Cognitive Science. Copyright c by the paper’s authors. Copying permitted for private and academic purposes. In: A.M. Olteteanu, Z. Falomir (eds.): Proceedings of ProSocrates 2017: Symposium on Problem-solving, Creativity and Spatial Reasoning in Cognitive Systems, at Delmenhorst, Germany, July 2017, published at http://ceur-ws.org