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Hrushovski is well known for his work in model theory, in particular in the branch that has become known as geometric model theory; and for the applications he has made of it to Diophantine geometry, including the Mordell–Lang conjecture.
The book touches on the rise of model theory as well as proof theory, and on the emergence of American research on the foundation of mathematics, especially in the hands of E. H. Moore and his students, of the postulate theorists, and of Quine.
clustering needs to segregate members of various clusters contributing to various models of solving, i.e. fixed locations, oscillating locations and moving locations
Three model-theoretic directions for universal logic have been explored to some depth: abstract model theory axiomatized by Jon Barwise, a topological / categorical approach based on sketches (sometimes called categorical model theory), and yet another categorical approach based on Goguen and Burstall's notion of institution.
Her main research contributions are in computable structure theory (roughly at the intersection of computability theory and model theory), where she introduced the notion of degree spectra of relations on computable structures and obtained first significant results concerning uncountable, countable and finite Turing degree spectra.
Svenonius' role is well recognized, for example, by Wilfrid Hodges who defines "Svenonius games" and "Svenonius sentences" in his encyclopedic treatise Model Theory (Cambridge University Press, 1993).
Morley's categoricity theorem, a theorem related to model theory, discovered by Michael D. Morley
Fajardo, S., Keisler, H.J. (2002), Model Theory of Stochastic Processes.
Applying a result of MacIntyre on the model theory of p-adic integers, one deduces again that ζG(s) is a rational function in p−s.