Interrogative dependencies and the constructive content of inquisitive proofs. Ciardelli, I. In Kohlenbach, U., Barceló, P., & de Queiroz, R., editors, Logic, Language, Information and Computation - 21st International Workshop, WoLLIC 2014, of Lecture Notes in Computer Science, pages 109-123, 2014. Springer.
Paper doi abstract bibtex This paper shows how dichotomous inquisitive semantics gives rise to a general notion of entailment that unifies standard declarative entailment with answerhood and interrogative dependency, the relation holding when an answer to a question determines an answer to another. We investigate the associated logic, presenting a new completeness proof based on an explicit canonical model construction. On the way to this proof, we establish a new result, the resolution theorem, which shows that inquisitive proofs have a natural computational interpretation. We conclude arguing that, as a logic of dependencies, inquisitive logic has certain theoretical and practical advantages over related systems.
@inproceedings{Ciardelli:14wollic,
abstract = {This paper shows how dichotomous inquisitive semantics gives rise to a general notion of entailment that unifies standard declarative entailment with answerhood and interrogative dependency, the relation holding when an answer to a question determines an answer to another. We investigate the associated logic, presenting a new completeness proof based on an explicit canonical model construction. On the way to this proof, we establish a new result, the resolution theorem, which shows that inquisitive proofs have a natural computational interpretation. We conclude arguing that, as a logic of dependencies, inquisitive logic has certain theoretical and practical advantages over related systems.},
author = {Ivano Ciardelli},
booktitle = {Logic, Language, Information and Computation - 21st International Workshop, WoLLIC 2014},
date-added = {2021-08-17 00:00:00 +0000},
date-modified = {2021-08-17 00:00:00 +0000},
doi = {10.1007/978-3-662-44145-9_8},
editor = {Ulrich Kohlenbach and Pablo Barcel{\'o} and Ruy de Queiroz},
keywords = {inquisitive logic},
pages = {109-123},
publisher = {Springer},
series = {Lecture Notes in Computer Science},
title = {Interrogative dependencies and the constructive content of inquisitive proofs},
url = {https://link.springer.com/chapter/10.1007/978-3-662-44145-9_8},
year = {2014},
Bdsk-Url-1 = {https://link.springer.com/chapter/10.1007/978-3-662-44145-9_8},
Bdsk-Url-2 = {https://doi.org/10.1007/978-3-662-44145-9_8}}
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