Research output: Contribution to journal › Article › peer-review
Disentangling Structural Connectives or Life Without Display Property. / Drobyshevich, Sergey.
In: Journal of Philosophical Logic, Vol. 48, No. 2, 15.04.2019, p. 279-303.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Disentangling Structural Connectives or Life Without Display Property
AU - Drobyshevich, Sergey
N1 - This work was supported by the Alexander von Humboldt Foundation.
PY - 2019/4/15
Y1 - 2019/4/15
N2 - The work is concerned with the so called display property of display logic. The motivation behind it is discussed and challenged. It is shown using one display calculus for intuitionistic logic as an example that the display property can be abandoned without losing subformula, cut elimination and completeness properties in such a way that results in additional expressive power of the system. This is done by disentangling structural connectives so that they are no longer context-sensitive. A recipe for characterizing structural extensions of display calculi is provided.
AB - The work is concerned with the so called display property of display logic. The motivation behind it is discussed and challenged. It is shown using one display calculus for intuitionistic logic as an example that the display property can be abandoned without losing subformula, cut elimination and completeness properties in such a way that results in additional expressive power of the system. This is done by disentangling structural connectives so that they are no longer context-sensitive. A recipe for characterizing structural extensions of display calculi is provided.
KW - Cut elimination
KW - Display logic
KW - Display property
KW - Intuitionistic logic
KW - Proof theory
KW - LOGIC
UR - http://www.scopus.com/inward/record.url?scp=85050352924&partnerID=8YFLogxK
U2 - 10.1007/s10992-018-9466-1
DO - 10.1007/s10992-018-9466-1
M3 - Article
AN - SCOPUS:85050352924
VL - 48
SP - 279
EP - 303
JO - Journal of Philosophical Logic
JF - Journal of Philosophical Logic
SN - 0022-3611
IS - 2
ER -
ID: 15966989