Mathematical Logic Quarterly 52 (5):505-526 (2006)

Abstract
The notion of a multi-term π-institution is introduced and a criterion for the equivalence of two multi-term π-institutions in terms of their categories of theories is proved. Moreover, a counterexample that shows that this criterion is false for arbitrary π-institutions is given
Keywords category of theories  Isomorphism Theorem  representability  Grothendieck construction  Categorical abstract algebraic logic  interpretability  cofibrations
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DOI 10.1002/malq.200610010
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