An Institution-Independent Proof of the Robinson Consistency Theorem
Studia Logica 85 (1):41 - 73 (2007)
| Abstract | We prove an institutional version of A. Robinson's Consistency Theorem. This result is then applied to the institution of many-sorted first-order predicate logic and to two of its variations, infinitary and partial, obtaining very general syntactic criteria sufficient for a signature square in order to satisfy the Robinson consistency and Craig interpolation properties. | |||||||||
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Daniel Gâinâ & Andrei Popescu (2007). An Institution-Independent Proof of the Robinson Consistency Theorem. Studia Logica 85 (1).
Răzvan Diaconescu (2004). An Institution-Independent Proof of Craig Interpolation Theorem. Studia Logica 77 (1):59 - 79.
Hiroakira Ono (1986). Craig's Interpolation Theorem for the Intuitionistic Logic and its Extensions—a Semantical Approach. Studia Logica 45 (1):19 - 33.
M. Aiguier & F. Barbier (2007). An Institution-Independent Proof of the Beth Definability Theorem. Studia Logica 85 (3):333 - 359.
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Mihai Codescu & Daniel Găină (forthcoming). Birkhoff Completeness in Institutions. Logica Universalis.
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