An institution-independent proof of the Robinson Consistency Theorem

Daniel Mircea Gaina, Andrei Popescu

Research output: Contribution to journal › Article

13 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 languageEnglish
Pages (from-to)41-73
Number of pages33
JournalStudia Logica
Volume85
Issue number1
DOIs
Publication statusPublished - Jan 1 2007
Externally publishedYes

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Predicate Logic
First-order Logic
Theorem
Signature
Interpolate
Sufficient
Partial
Syntax
Interpolation

All Science Journal Classification (ASJC) codes

  • Logic
  • History and Philosophy of Science

Cite this

An institution-independent proof of the Robinson Consistency Theorem. / Gaina, Daniel Mircea; Popescu, Andrei.

In: Studia Logica, Vol. 85, No. 1, 01.01.2007, p. 41-73.

Research output: Contribution to journal › Article

Gaina, DM & Popescu, A 2007, 'An institution-independent proof of the Robinson Consistency Theorem', Studia Logica, vol. 85, no. 1, pp. 41-73. https://doi.org/10.1007/s11225-007-9022-4
Gaina DM, Popescu A. An institution-independent proof of the Robinson Consistency Theorem. Studia Logica. 2007 Jan 1;85(1):41-73. https://doi.org/10.1007/s11225-007-9022-4
Gaina, Daniel Mircea ; Popescu, Andrei. / An institution-independent proof of the Robinson Consistency Theorem. In: Studia Logica. 2007 ; Vol. 85, No. 1. pp. 41-73.
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