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Wyszukujesz frazę "proof-theoretic semantics" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
A proof-theoretic semantics for contextual domain restriction
Autorzy:
Francez, N.
Powiązania:
https://bibliotekanauki.pl/articles/103925.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Podstaw Informatyki PAN
Tematy:
proof-theoretic semantics
contextual domain restriction
Opis:
The paper presents a proof-theoretic semantics account of contextual domain restriction for quantified sentences in a fragment of English. First, the technique is exemplified in the more familiar first-order logic, and in its restricted quantification variant. Then, a proof-theoretic semantics for the NL fragment is reviewed, and extended to handling contextual domain restriction. The paper addresses both the descriptive facet of the problem, deriving meaning relative to a context, as well as the fundamental aspect, defining explicitly a context (suitable for quantifier domain restriction), and specifying what it is about such a context that brings about the variation of meaning due to it. The paper argues for the following principle (the context incorporation principle, CIP): for every quantified sentence S depending on a context c, there exists a sentence S′, the meaning of which is independent of c, s.t. the contextually restricted meaning of S is equal to the meaning of S′. Thus, the effect of a context can always be internalized. The current model-theoretic accounts of contextual domain restriction do not satisfy CIP, in that they imply intersection of some extension with an arbitrary subset of the domain, that need not be the denotation of any NL-expression.
Źródło:
Journal of Language Modelling; 2014, 2, 2; 249-283
2299-856X
2299-8470
Pojawia się w:
Journal of Language Modelling
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Definite Formulae, Negation-as-Failure, and the Base-Extension Semantics of Intuitionistic Propositional Logic
Autorzy:
Gheorghiu, Alexander V.
Pym, David J.
Powiązania:
https://bibliotekanauki.pl/articles/43181620.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
logic programming
proof-theoretic semantics
bilateralism
negationas-failure
Opis:
Proof-theoretic semantics (P-tS) is the paradigm of semantics in which meaning in logic is based on proof (as opposed to truth). A particular instance of P-tS for intuitionistic propositional logic (IPL) is its base-extension semantics (B-eS). This semantics is given by a relation called support, explaining the meaning of the logical constants, which is parameterized by systems of rules called bases that provide the semantics of atomic propositions. In this paper, we interpret bases as collections of definite formulae and use the operational view of them as provided by uniform proof-search—the proof-theoretic foundation of logic programming (LP)—to establish the completeness of IPL for the B-eS. This perspective allows negation, a subtle issue in P-tS, to be understood in terms of the negation-as-failure protocol in LP. Specifically, while the denial of a proposition is traditionally understood as the assertion of its negation, in B-eS we may understand the denial of a proposition as the failure to find a proof of it. In this way, assertion and denial are both prime concepts in P-tS.
Źródło:
Bulletin of the Section of Logic; 2023, 52, 2; 239-266
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractional-Valued Modal Logic and Soft Bilateralism
Autorzy:
Piazza, Mario
Pulcini, Gabriele
Tesi, Matteo
Powiązania:
https://bibliotekanauki.pl/articles/43181839.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
modal logic
general proof theory (including proof-theoretic semantics)
many-valued logics
Opis:
In a recent paper, under the auspices of an unorthodox variety of bilateralism, we introduced a new kind of proof-theoretic semantics for the base modal logic \(\mathbf{K}\), whose values lie in the closed interval \([0,1]\) of rational numbers [14]. In this paper, after clarifying our conception of bilateralism – dubbed “soft bilateralism” – we generalize the fractional method to encompass extensions and weakenings of \(\mathbf{K}\). Specifically, we introduce well-behaved hypersequent calculi for the deontic logic \(\mathbf{D}\) and the non-normal modal logics \(\mathbf{E}\) and \(\mathbf{M}\) and thoroughly investigate their structural properties.
Źródło:
Bulletin of the Section of Logic; 2023, 52, 3; 275-299
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
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