A Syntactic Approach to Closure Operation
Bulletin of the Section of Logic, Tome 46 (2017) no. 3-4
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In the paper, tracing the traditional Hilbert-style syntactic account of logics, a syntactic characteristic of a closure operation defined on a complete lattice follows. The approach is based on observation that the role of rule of inference for a given consequence operation may be played by an ordinary binary relation on the complete lattice on which the closure operation is defined.
Keywords:
closure operation, closure system, rule of inference
@article{BSL_2017_46_3-4_a1,
author = {Nowak, Marek},
title = {A {Syntactic} {Approach} to {Closure} {Operation}},
journal = {Bulletin of the Section of Logic},
year = {2017},
volume = {46},
number = {3-4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BSL_2017_46_3-4_a1/}
}
Nowak, Marek. A Syntactic Approach to Closure Operation. Bulletin of the Section of Logic, Tome 46 (2017) no. 3-4. http://geodesic.mathdoc.fr/item/BSL_2017_46_3-4_a1/