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When iota meets lambda
A Indrzejczak, M Zawidzki - Synthese, 2023 - Springer
Definite descriptions are widely discussed in linguistics and formal semantics, but their
formal treatment in logic is surprisingly modest. In this article we present a sound, complete …
formal treatment in logic is surprisingly modest. In this article we present a sound, complete …
Logical separability of labeled data examples under ontologies
Finding a logical formula that separates positive and negative examples given in the form of
labeled data items is fundamental in applications such as concept learning, reverse …
labeled data items is fundamental in applications such as concept learning, reverse …
Definite descriptions and hybrid tense logic
A Indrzejczak, M Zawidzki - Synthese, 2023 - Springer
We provide a version of first-order hybrid tense logic with predicate abstracts and definite
descriptions as the only non-rigid terms. It is formalised by means of a tableau calculus …
descriptions as the only non-rigid terms. It is formalised by means of a tableau calculus …
Non-rigid designators in modal and temporal free description logics
Definite descriptions, such as 'the General Chair of KR 2024', are a semantically transparent
device for object identification in knowledge representation. In first-order modal logic …
device for object identification in knowledge representation. In first-order modal logic …
Living without Beth and Craig: Definitions and interpolants in description and modal logics with nominals and role inclusions
The Craig interpolation property (CIP) states that an interpolant for an implication exists iff it
is valid. The projective Beth definability property (PBDP) states that an explicit definition …
is valid. The projective Beth definability property (PBDP) states that an explicit definition …
Hybrid modal operators for definite descriptions
PA Wałȩga, M Zawidzki - European Conference on Logics in Artificial …, 2023 - Springer
In this paper, we study computational complexity and expressive power of modal operators
for definite descriptions, which correspond to statements 'the modal world which satisfies …
for definite descriptions, which correspond to statements 'the modal world which satisfies …
Interpolants and explicit definitions in extensions of the description logic EL
We show that the vast majority of extensions of the description logic $\mathcal {EL} $ do not
enjoy the Craig interpolation nor the projective Beth definability property. This is the case, for …
enjoy the Craig interpolation nor the projective Beth definability property. This is the case, for …
Living without Beth and Craig: Definitions and interpolants in description logics with nominals and role inclusions
The Craig interpolation property (CIP) states that an interpolant for an implication exists iff it
is valid. The projective Beth definability property (PBDP) states that an explicit definition …
is valid. The projective Beth definability property (PBDP) states that an explicit definition …
Non-Rigid Designators in Modal and Temporal Free Description Logics (Extended Version)
Definite descriptions, such as' the General Chair of KR 2024', are a semantically transparent
device for object identification in knowledge representation. In first-order modal logic …
device for object identification in knowledge representation. In first-order modal logic …
Constructive interpolation and concept-based beth definability for description logics via sequents
We introduce a constructive method applicable to a large number of description logics (DLs)
for establishing the concept-based Beth definability property (CBP) based on sequent …
for establishing the concept-based Beth definability property (CBP) based on sequent …