An institution-independent proof of the Robinson Consistency Theorem

Daniel Mircea Gaina; Andrei Popescu

doi:10.1007/s11225-007-9022-4

An institution-independent proof of the Robinson Consistency Theorem

Daniel Mircea Gaina, Andrei Popescu

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

We prove an institutional version of A. Robinson's Consistency Theorem. This result is then appliedto 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.

Original language	English
Pages (from-to)	41-73
Number of pages	33
Journal	Studia Logica
Volume	85
Issue number	1
DOIs	https://doi.org/10.1007/s11225-007-9022-4
Publication status	Published - Jan 1 2007
Externally published	Yes

All Science Journal Classification (ASJC) codes

Logic
History and Philosophy of Science

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