This chapter explores the work that has been done within the emerging sub-field of computational cognitive linguistics. It is argued that the Quantitative Turn marked a major step forward to reliable and replicable research, but the Computational Turn represents an opportunity for better understanding the process of abstracting linguistic knowledge from exposure to usage. The chapter focuses on models, in particular on full-blown computational models that fit with ideas from usage-based linguistics and on ideas from usage-based linguistics that have inspired the development of computational models, and discusses methods that cognitive linguists have borrowed from computer science. It also focuses on what is afforded by building cognitive reality into the algorithm: if a transparent algorithm is chosen that incorporates principles of cognition, this process can shed light on how the resulting output could have been arrived at.
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