This Ph.D purpose is, once a thorough theoretical research is given to the reader, and as a result of the investigation in the state of the art and idiosyncrasy regarding the Computing Paradigms belonging Natural Computing, like Fireworks Algorithm, Genetic Algorithm, Ant Colony Optimization, Grammatical Evolution, Grammatical Swarm or Particle Swarm Optimization, among others, to face the empirically-observable algorithmic improvement of one of the aforementioned bioinspired entities, more concretely Fireworks Algorithm, giving birth to Improved Fireworks Algorithm (IFA). Furthermore, a novel synergy among four important elements within the aforementioned set will be presented; Ant Colony Optimization, Grammatical Evolution, Grammatical Swarm and Genetic Algorithms, what disembogues in the creation of the brand new, generic ACORD Algorithm (Ant Colony systems Optimization applied to BNF grammars Rule Derivation), which merges these paradigms in order to explore Backus-Naur Form (BNF) grammars, whose elements represent solutions to a given problem. Thus, should Fireworks Algorithm improvement aligns with a numerical idiosyncrasy, ACORD represents a conceptual creation, empirically demonstrating the colossal effectiveness of the theoretical-practical binomial that Natural Computing hands over.Once that algorithm enrichment has been achieved with IFA, as well as the synergy among entities has been accomplished under Natural Computing spectrum with ACORD, the applied methodology to reach that goal is to be described with the finest granularity level. Hence, elucidating what has been improved and how. All results thrown by means of the pertinent experiments will be shown, as well as its opportune analysis and discussion. It is noteworthy that, among other publications, the theoretical basis on Natural Computing have deserved the publication of [Morales Lucas et al, 2018] (JCR Q2). Along the same lines, ACORD has deserved the publication of [de Mingo et al, 2019] (JCR Q2).Finally, once the achievement of the aforementioned goals has been accomplished, the future investigation paths lead by this Ph.D, accompanied with the applicable conclusions will be shown, reinforced with the relevant annexes in order to complement the needed information.