Baaz, M., & Lolic, A. (2017). First-Order Interpolation of Non-classical Logics Derived from Propositional Interpolation. In Frontiers of Combining Systems (pp. 265–280). Springer. https://doi.org/10.1007/978-3-319-66167-4_15
FroCos 2017 - 11th International Symposium on Frontiers of Combining Systems
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Event date:
27-Sep-2017 - 29-Sep-2017
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Event place:
Brasilia, Brazil
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Number of Pages:
16
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Publisher:
Springer
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Abstract:
This paper develops a general methodology to connect propositional and first-order interpolation. In fact, the existence of suitable skolemizations and of Herbrand expansions together with a propositional interpolant suffice to construct a first-order interpolant. This methodology is realized for lattice-based finitely-valued logics, the top element representing true and for (fragments of) infinitely-valued first-order Gödel logic, the logic of all linearly ordered constant domain Kripke frames.
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