Geodesic
Interpreting reflexive theories in finitely many axioms
Fundamenta Mathematicae, Tome 152 (1997) no. 2, pp. 99-116
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For finitely axiomatized sequential theories F and reflexive theories R, we give a characterization of the relation 'F interprets R' in terms of provability of restricted consistency statements on cuts. This characterization is used in a proof that the set of $∏_1$ (as well as $∑_1$) sentences π such that GB interprets ZF+π is $Σ^0_3$-complete. 
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     title = {Interpreting reflexive theories in finitely many axioms},
     journal = {Fundamenta Mathematicae},
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V. Yu. Shavrukov. Interpreting reflexive theories in finitely many axioms. Fundamenta Mathematicae, Tome 152 (1997) no. 2, pp. 99-116. doi: 10.4064/fm_1997_152_2_1_99_116

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