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We present a completeness result for a logical system which combines stit logic and justification logic in order to represent proving activity of the agents. This logic is interpreted over the semantics introduced in earlier publications.…

逻辑 · 数学 2017-07-12 Grigory Olkhovikov

We consider the explicit fragment of the basic justification stit logic introduced in earlier publications. We define a Hilbert-style axiomatic system for this logic and show that this system is strongly complete relative to the intended…

逻辑 · 数学 2017-09-21 Grigory K. Olkhovikov

We present a completeness result for the implicit fragment of justification stit logic. Although this fragment allows for no strongly complete axiomatization, we show that a restricted form of strong completeness (subsuming weak…

逻辑 · 数学 2017-05-26 Grigory K. Olkhovikov

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, definite descriptions have been widely investigated for…

计算机科学中的逻辑 · 计算机科学 2024-09-12 Alessandro Artale , Roman Kontchakov , Andrea Mazzullo , Frank Wolter

Justification logics are modal-like logics with the additional capability of recording the reason, or justification, for modalities in syntactic structures, called justification terms. Justification logics can be seen as explicit…

计算机科学中的逻辑 · 计算机科学 2015-10-27 Samuel Bucheli

Justification logics are modal-like logics with the additional capability of recording the reason, or justification, for modalities in syntactic structures, called justification terms. Justification logics can be seen as explicit…

计算机科学中的逻辑 · 计算机科学 2017-03-08 Samuel Bucheli , Meghdad Ghari , Thomas Studer

In this paper we introduce public announcement logic in different geometric frameworks. First, we consider topological models, and then extend our discussion to a more expressive model, namely, subset space models. Furthermore, we prove the…

计算机科学中的逻辑 · 计算机科学 2011-08-19 Can Baskent

Recently, symbolic structures were proposed as finite representations of potentially infinite first-order structures, where Linear Integer Arithmetic terms and formulas define the domain and interpretations of a structure. We generalize…

计算机科学中的逻辑 · 计算机科学 2026-05-14 Neta Elad , Sharon Shoham

We study abstract intermediate justification logics, that is arbitrary intermediate propositional logics extended with a subset of specific axioms of (classical) justification logics. For these, we introduce various semantics by combining…

逻辑 · 数学 2020-08-18 Nicholas Pischke

Bi-Intuitionistic Stable Tense Logics (BIST Logics) are tense logics with a Kripke semantics where worlds in a frame are equipped with a pre-order as well as with an accessibility relation which is 'stable' with respect to this pre-order.…

计算机科学中的逻辑 · 计算机科学 2017-03-08 Katsuhiko Sano , John G. Stell

We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions and iterated connectives ranging over intervals parameterized by arithmetic variables. The satisfiability problem is shown…

计算机科学中的逻辑 · 计算机科学 2014-01-17 Vincent Aravantinos , Ricardo Caferra , Nicolas Peltier

Symbolic data structures for model checking timed systems have been subject to a significant research, with Difference Bound Matrices (DBMs) still being the preferred data structure in several mature verification tools. In comparison,…

数据结构与算法 · 计算机科学 2012-11-28 Kenneth Y. Jørgensen , Kim G. Larsen , Jiří Srba

In traditional justification logic, evidence terms have the syntactic form of polynomials, but they are not equipped with the corresponding algebraic structure. We present a novel semantic approach to justification logic that models…

逻辑 · 数学 2023-08-21 Michael Baur , Thomas Studer

Justification theory is a general framework for the definition of semantics of rule-based languages that has a high explanatory potential. Nested justification systems, first introduced by Denecker et al. (2015), allow for the composition…

人工智能 · 计算机科学 2022-05-11 Simon Marynissen , Jesse Heyninck , Bart Bogaerts , Marc Denecker

This paper presents a sequent calculus and a dual domain semantics for a theory of definite descriptions in which these expressions are formalised in the context of complete sentences by a binary quantifier $I$. $I$ forms a formula from two…

计算机科学中的逻辑 · 计算机科学 2021-08-13 Nils Kürbis

Model theoretic results such as Characterization and Definability give important information about different logics. It is well known that the proofs of those results for several modal logics have, somehow, the same 'taste'. A general proof…

计算机科学中的逻辑 · 计算机科学 2010-11-23 Facundo Carreiro

Justification Logics provide a framework for reasoning about justifications and evidences. Most of the accounts of justification logics are crisp in the sense that agent's justifications for a statement is convincing or is not. In this…

逻辑 · 数学 2025-01-17 Meghdad Ghari

In this paper, a computably definable predicate is defined and characterized. Then, it is proved that every separable infinite-dimensional Hilbert structure in an effectively presented language is computable. Moreover, every definable…

计算机科学中的逻辑 · 计算机科学 2020-11-12 Nazanin Roshandel Tavana

Justification logics are epistemic logics that explicitly include justifications for the agents' knowledge. We develop a multi-agent justification logic with evidence terms for individual agents as well as for common knowledge. We define a…

计算机科学中的逻辑 · 计算机科学 2023-08-01 Samuel Bucheli , Roman Kuznets , Thomas Studer

This paper from 2012 is the second in a series of three papers. All three papers deal with interpretability logics and related matters. In the first paper a construction method was exposed to obtain models of these logics. Using this…

逻辑 · 数学 2020-04-16 Evan Goris , Joost J. Joosten
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