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Title:
Each normal logic program has a 2-valued Minimal Hypotheses semantics
Publication date:
September 2011
Citation:
MHsem
Abstract:
We explore a unifying approach of hypotheses assumption to provide a semantics for all Normal Logic Programs (NLP), the Minimal Hypotheses (MH) semantics. This semantics takes a positive hypotheses assumption approach to guarantee the desirable properties of model existence, relevance and cumulativity, and of generalizing the Stable Models semantics. We first introduce the semantic concept of minimality of assumed positive hypotheses, define MH semantics, and analyze its properties and applicability. Abductive Logic Programming can be captured by a strategy centered on the assumption of abducibles (or hypotheses). The Argumentation perspective of Logic Programs also lends itself to an arguments (or hypotheses) assumption approach. Previous works on Abduction have depicted the atoms of default negated literals in NLPs as abducibles, i.e., assumable hypotheses. We take a complementary and more general view than these works to NLP semantics by employing positive hypotheses instead.
In proceedings
Authors:
Alexandre Miguel Pinto
,
Luís Moniz Pereira
Editors:
H. Tompits and
Book title:
19th Intl. Conf. on Applications of Declarative Programming and Knowledge Management (INAP'11)
Series:
http://arxiv.org/corr/home
Publisher:
CoRR
Address:
http://arxiv.org/
Volume:
http://arxiv.org/abs/1108.5766v1
Pages:
248-262
ISBN:
-
ISSN:
-
Note:
-
Url address:
http://centria.di.fct.unl.pt/~lmp/publications/online-papers/MH-INAP11.pdf
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Plain text:
Alexandre Miguel Pinto and Luís Moniz Pereira, Each normal logic program has a 2-valued Minimal Hypotheses semantics, in: H. Tompits and (eds), 19th Intl. Conf. on Applications of Declarative Programming and Knowledge Management (INAP'11), http://arxiv.org/corr/home, CoRR, http://arxiv.org/, Vol. http://arxiv.org/abs/1108.5766v1, Pag. 248-262, (http://centria.di.fct.unl.pt/~lmp/publications/online-papers/MH-INAP11.pdf), September 2011.
HTML:
<a href="/people/members/view.php?code=76dee43781430d064f62dee3fbdf47a8" class="author">Alexandre Miguel Pinto</a> and <a href="/people/members/view.php?code=6175f826202ff877fba2ad77784cb9cb" class="author">Luís Moniz Pereira</a>, <b>Each normal logic program has a 2-valued Minimal Hypotheses semantics</b>, in: H. Tompits and (eds), <u>19th Intl. Conf. on Applications of Declarative Programming and Knowledge Management (INAP'11)</u>, http://arxiv.org/corr/home, CoRR, http://arxiv.org/, Vol. http://arxiv.org/abs/1108.5766v1, Pag. 248-262, (<a href="http://centria.di.fct.unl.pt/~lmp/publications/online-papers/MH-INAP11.pdf" target="_blank">url</a>), September 2011.
BibTeX:
@inproceedings {MHsem, author = {Alexandre Miguel Pinto and Lu\'{\i}s Moniz Pereira}, editor = {H. Tompits and}, title = {Each normal logic program has a 2-valued Minimal Hypotheses semantics}, booktitle = {19th Intl. Conf. on Applications of Declarative Programming and Knowledge Management (INAP'11)}, series = {http://arxiv.org/corr/home}, publisher = {CoRR}, address = {http://arxiv.org/}, volume = {http://arxiv.org/abs/1108.5766v1}, pages = {248-262}, url = {http://centria.di.fct.unl.pt/~lmp/publications/online-papers/MH-INAP11.pdf}, abstract = {We explore a unifying approach of hypotheses assumption to provide a semantics for all Normal Logic Programs (NLP), the Minimal Hypotheses (MH) semantics. This semantics takes a positive hypotheses assumption approach to guarantee the desirable properties of model existence, relevance and cumulativity, and of generalizing the Stable Models semantics. We first introduce the semantic concept of minimality of assumed positive hypotheses, define MH semantics, and analyze its properties and applicability. Abductive Logic Programming can be captured by a strategy centered on the assumption of abducibles (or hypotheses). The Argumentation perspective of Logic Programs also lends itself to an arguments (or hypotheses) assumption approach. Previous works on Abduction have depicted the atoms of default negated literals in NLPs as abducibles, i.e., assumable hypotheses. We take a complementary and more general view than these works to NLP semantics by employing positive hypotheses instead.}, keywords = {Hypotheses, Semantics, NLPs, Abduction, Argumentation}, month = {September}, year = {2011}, }
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