Logic Journal of the IGPL

ISSN: 0945-9103

41 found

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  1. Genuine paracomplete logics.Verónica Borja Macías, Marcelo E. Coniglio & Alejandro Hernández-Tello - 2023 - Logic Journal of the IGPL 31 (5):961-987.
    In 2016, Béziau introduces a restricted notion of paraconsistency, the so-called genuine paraconsistency. A logic is genuine paraconsistent if it rejects the laws $\varphi,\neg \varphi \vdash \psi$ and $\vdash \neg (\varphi \wedge \neg \varphi)$. In that paper, the author analyzes, among the three-valued logics, which of them satisfy this property. If we consider multiple-conclusion consequence relations, the dual properties of those above-mentioned are $\vdash \varphi, \neg \varphi$ and $\neg (\varphi \vee \neg \varphi) \vdash$. We call genuine paracomplete logics those rejecting (...)
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  2.  6
    Functoriality of the Schmidt construction.Juan Climent Vidal & Enric Cosme Llópez - 2023 - Logic Journal of the IGPL 31 (5):822-893.
    After proving, in a purely categorial way, that the inclusion functor |$\textrm {In}_{\textbf {Alg}(\varSigma )}$| from |$\textbf {Alg}(\varSigma )$|⁠, the category of many-sorted |$\varSigma $|-algebras, to |$\textbf {PAlg}(\varSigma )$|⁠, the category of many-sorted partial |$\varSigma $|-algebras, has a left adjoint |$\textbf {F}_{\varSigma }$|⁠, the (absolutely) free completion functor, we recall, in connection with the functor |$\textbf {F}_{\varSigma }$|⁠, the generalized recursion theorem of Schmidt, which we will also call the Schmidt construction. Next, we define a category |$\textbf {Cmpl}(\varSigma )$|⁠, of (...)
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  3.  3
    Restriction in Program Algebra.Marcel Jackson & Tim Stokes - 2023 - Logic Journal of the IGPL 31 (5):926-960.
    We provide complete classifications of algebras of partial maps for a significant swathe of combinations of operations not previously classified. Our focus is the many subsidiary operations that arise in recent considerations of the ‘override’ and ‘update’ operations arising in specification languages. These other operations turn out to have an older pedigree: domain restriction, set subtraction and intersection. All signatures considered include domain restriction, at least as a term. Combinations of the operations are classified and given complete axiomatizations with and (...)
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  4.  2
    Equivalence between Varieties of Łukasiewicz–Moisil Algebras and Rings.Blanca Fernanda López Martinolich & María del Carmen Vannicola - 2023 - Logic Journal of the IGPL 31 (5):988-1003.
    The Post, axled and Łukasiewicz–Moisil algebras are important lattices studied in algebraic logic. In this paper, we investigate a useful interpretation between these algebras and some rings. We give a term equivalence between Post algebras of order |$p$| and |$p$|-rings, |$p$| prime and lift this result to the axled Łukasiewicz–Moisil algebra |$L \cong B_s \times P$| and the ring |$\prod ^s F_2 \times \prod ^l F_p$|⁠, where |$B_s$| is a Boolean algebra of order |$2^s$|⁠, |$P$| a |$p$|-valued Post algebra of (...)
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  5.  1
    Axioms for a Logic of Consequential Counterfactuals.Claudio E. A. Pizzi - 2023 - Logic Journal of the IGPL 31 (5):907-925.
    The basis of the paper is a logic of analytical consequential implication, CI.0, which is known to be equivalent to the well-known modal system KT thanks to the definition A → B = df A ⥽ B ∧ Ξ (Α, Β), Ξ (Α, Β) being a symbol for what is called here Equimodality Property: (□A ≡ □B) ∧ (◊A ≡ ◊B). Extending CI.0 (=KT) with axioms and rules for the so-called circumstantial operator symbolized by *, one obtains a system CI.0*Eq (...)
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  6.  9
    Proving properties of binary classification neural networks via Łukasiewicz logic.Sandro Preto & Marcelo Finger - 2023 - Logic Journal of the IGPL 31 (5):805-821.
    Neural networks are widely used in systems of artificial intelligence, but due to their black box nature, they have so far evaded formal analysis to certify that they satisfy desirable properties, mainly when they perform critical tasks. In this work, we introduce methods for the formal analysis of reachability and robustness of neural networks that are modeled as rational McNaughton functions by, first, stating such properties in the language of Łukasiewicz infinitely-valued logic and, then, using the reasoning techniques of such (...)
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  7.  2
    Branching Time Axiomatized With the Use of Change Operators.Marcin Łyczak - 2023 - Logic Journal of the IGPL 31 (5):894-906.
    We present a temporal logic of branching time with four primitive operators: |$\exists {\mathcal {C}}$| – it may change whether; |$\forall {\mathcal {C}} $| – it must change whether; |$\exists \Box $| – it may be endlessly unchangeable that; and |$\forall \Box $| – it must be endlessly unchangeable that. Semantically, operator |$\forall {\mathcal {C}}$| expresses a change in the logical value of the given formula in every state that may be an immediate successor of the one considered, while |$\exists (...)
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  8.  3
    On registration methods for SLAM with low resolution LiDAR sensor.Marina Aguilar-Moreno & Manuel Graña - 2023 - Logic Journal of the IGPL 31 (4):751-761.
    Affordable light detection and ranging sensors are becoming available for tasks such as simultaneous localization and mapping (SLAM) in robotics and autonomous driving; however, these sensors offer less quality data of lower resolution that hinders the performance of registration methods. The deep learning based approaches seem to be sensitive to these data flaws. Specifically, a state-of-the-art deep learning-based approach failed to produce meaningful results after several attempts to carry out transfer learning over a dataset collected indoors with one such affordable (...)
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  9.  4
    Influence of context availability and soundness in predicting soil moisture using the Context-Aware Data Mining approach.Anca Avram, Oliviu Matei, Camelia-M. Pintea & Petrica C. Pop - 2023 - Logic Journal of the IGPL 31 (4):762-774.
    Knowing the level of quality from which the context is no longer valuable in a Context-Aware Data Mining (CADM) system is an important information. The main goal of this research is to study the variations of the predictions in case of different levels of noise and missing context data in practical scenarios for predicting soil moisture. The research has been performed on two locations from the Transylvanian Plain, Romania and two locations from Canada. The values predicted for the soil moisture (...)
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  10.  2
    Design and implementation of parallel self-adaptive differential evolution for global optimization.Iztok Fister, Andres Iglesias, Akemi Galvez & Dušan Fister - 2023 - Logic Journal of the IGPL 31 (4):701-721.
    The results of evolutionary algorithms depend on population diversity that normally decreases by increasing the selection pressure from generation to generation. Usually, this can lead the evolution process to get stuck in local optima. This study is focused on mechanisms to avoid this undesired phenomenon by introducing parallel self-adapted differential evolution that decomposes a monolithic population into more variable-sized sub-populations and combining this with the characteristics of evolutionary multi-agent systems into a hybrid algorithm. The proposed hybrid algorithm operates with individuals (...)
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  11.  3
    A support vector regression model for time series forecasting of the COMEX copper spot price.Esperanza García-Gonzalo, Paulino José García Nieto, Javier Gracia Rodríguez, Fernando Sánchez Lasheras & Gregorio Fidalgo Valverde - 2023 - Logic Journal of the IGPL 31 (4):775-784.
    The price of copper is unstable but it is considered an important indicator of the global economy. Changes in the price of copper point to higher global growth or an impending recession. In this work, the forecasting of the spot prices of copper from the New York Commodity Exchange is studied using a machine learning method, support vector regression coupled with different model schemas (recursive, direct and hybrid multi-step). Using these techniques, three different time series analyses are built and its (...)
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  12.  4
    A hybrid genetic algorithm, list-based simulated annealing algorithm, and different heuristic algorithms for travelling salesman problem.Vladimir Ilin, Dragan Simić, Svetislav D. Simić, Svetlana Simić, Nenad Saulić & José Luis Calvo-Rolle - 2023 - Logic Journal of the IGPL 31 (4):602-617.
    The travelling salesman problem (TSP) belongs to the class of NP-hard problems, in which an optimal solution to the problem cannot be obtained within a reasonable computational time for large-sized problems. To address TSP, we propose a hybrid algorithm, called GA-TCTIA-LBSA, in which a genetic algorithm (GA), tour construction and tour improvement algorithms (TCTIAs) and a list-based simulated annealing (LBSA) algorithm are used. The TCTIAs are introduced to generate a first population, and after that, a search is continued with the (...)
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  13.  7
    Data streams classification using deep learning under different speeds and drifts.Pedro Lara-Benítez, Manuel Carranza-García, David Gutiérrez-Avilés & José C. Riquelme - 2023 - Logic Journal of the IGPL 31 (4):688-700.
    Processing data streams arriving at high speed requires the development of models that can provide fast and accurate predictions. Although deep neural networks are the state-of-the-art for many machine learning tasks, their performance in real-time data streaming scenarios is a research area that has not yet been fully addressed. Nevertheless, much effort has been put into the adaption of complex deep learning (DL) models to streaming tasks by reducing the processing time. The design of the asynchronous dual-pipeline DL framework allows (...)
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  14.  1
    Investigating growth models with linearization domain analysis and residual analysis.Jaroslav Marek, Alena Pozdílková & Libor Kupka - 2023 - Logic Journal of the IGPL 31 (4):739-750.
    Growth modelling is of interest to scientists in various disciplines. In our article, we will collect 17 models designed for growth modelling, appraise these models and contribute to the discussion of their applicability. The merit of the paper lies in studying the convergence properties of nonlinear regression in selected models. Our studies will be performed mainly concerning the quality of the obtained estimates, which are closely related to the intrinsic curvature of the model according to Bates and Watts. This curvature (...)
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  15.  7
    Hourly pollutants forecasting using a deep learning approach to obtain the AQI.José Antonio Moscoso-López, Javier González-Enrique, Daniel Urda, Juan Jesús Ruiz-Aguilar & Ignacio J. Turias - 2023 - Logic Journal of the IGPL 31 (4):722-738.
    The Air Quality Index (AQI) shows the state of air pollution in a unique and more understandable way. This work aims to forecast the AQI in Algeciras (Spain) 8 hours in advance. The AQI is calculated indirectly through the predicted concentrations of five pollutants (O3, NO2, CO, SO2 and PM10) to achieve this goal. Artificial neural networks (ANNs), sequence-to-sequence long short-term memory networks (LSTMs) and a newly proposed method combing a rolling window with the latter (LSTMNA) are employed as the (...)
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  16.  1
    A comparative analysis of intelligent techniques to predict energy generated by a small wind turbine from atmospheric variables.Santiago Porras, Esteban Jove, Bruno Baruque & José Luis Calvo-Rolle - 2023 - Logic Journal of the IGPL 31 (4):648-663.
    The harmful consequences of fossil fuels use has resulted in the promotion of clean and renewable energies. During the past decades, green technologies have experienced a strong development, paying especial attention to wind energy, that covers a significant share of the electric energy demand. In this context, the main efforts are focused on the optimization of wind generator facilities, not only in the mechanic design but also in the energy management. Then, the present work deals with the prediction of the (...)
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  17.  1
    RGB images-driven recognition of grapevine varieties using a densely connected convolutional network.Pavel Škrabánek, Petr Doležel & Radomil Matoušek - 2023 - Logic Journal of the IGPL 31 (4):618-633.
    We present a pocket-size densely connected convolutional network (DenseNet) directed to classification of size-normalized colour images according to varieties of grapes captured in those images. We compare the DenseNet with three established small-size networks in terms of performance, inference time and model size. We propose a data augmentation that we use in training the networks. We train and evaluate the networks on in-field images. The trained networks distinguish between seven grapevine varieties and background, where four and three varieties, respectively, are (...)
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  18.  2
    Neural architecture search for the estimation of relative positioning of the autonomous mobile robot.Daniel Teso-Fz-Betoño, Ekaitz Zulueta, Ander Sanchez-Chica, Unai Fernandez-Gamiz, Adrian Teso-Fz-Betoño & Jose Manuel Lopez-Guede - 2023 - Logic Journal of the IGPL 31 (4):634-647.
    In the present work, an artificial neural network (ANN) will be developed to estimate the relative rotation and translation of the autonomous mobile robot (AMR). The ANN will work as an iterative closed point, which is commonly used with the singular value decomposition algorithm. This development will provide better resolution for a relative positioning technique that is essential for the AMR localization. The ANN requires a specific architecture, although in the current work a neural architecture search will be adapted to (...)
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  19.  1
    MDL+ a manufacturing description language to describe and control assembling tasks in industry 4.0.Mauricio-Andres Zamora-Hernandez, Jose Andrez Chaves Ceciliano, Alonso Villalobos Granados, John Alejandro Castro Vargas, Jose Garcia-Rodriguez & Jorge Azorin-Lopez - 2023 - Logic Journal of the IGPL 31 (4):664-687.
    The assembly of products or components by operators in industries is a complex task with recurring problems. In these processes, operators often make errors that can lead to defective products. Therefore, they need to be inspected later to verify their correct assembly. The main problems are caused by several reasons including high employee turnover, lack of experience in manufacturing specific products or confusion in interpreting instructions to assemble similar components. In this paper, a novel structured language aimed to describe the (...)
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  20.  1
    Intelligent model for active power prediction of a small wind turbine.Francisco Zayas-Gato, Esteban Jove, José-Luis Casteleiro-Roca, Héctor Quintián, Francisco Javier Pérez-Castelo, Andrés Piñón-Pazos, Elena Arce & José Luis Calvo-Rolle - 2023 - Logic Journal of the IGPL 31 (4):785-803.
    In this study, a hybrid model based on intelligent techniques is developed to predict the active power generated in a bioclimatic house by a low power wind turbine. Contrary to other researches that predict the generated power taking into account the speed and the direction of the wind, the model developed in this paper only uses the speed of the wind, measured mainly in a weather station from the government meteorological agency (MeteoGalicia). The wind speed is measured at different heights, (...)
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  21.  2
    Hybrid Machine Learning System to Impute and Classify a Component-Based Robot.Nuño Basurto, Ángel Arroyo, Carlos Cambra & Álvaro Herrero - 2023 - Logic Journal of the IGPL 31 (2):338-351.
    In the field of cybernetic systems and more specifically in robotics, one of the fundamental objectives is the detection of anomalies in order to minimize loss of time. Following this idea, this paper proposes the implementation of a Hybrid Intelligent System in four steps to impute the missing values, by combining clustering and regression techniques, followed by balancing and classification tasks. This system applies regression models to each one of the clusters built on the instances of data set. Subsequently, a (...)
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  22. Filtering non-balanced data using an evolutionary approach.Jessica A. Carballido, Ignacio Ponzoni & Rocío L. Cecchini - 2023 - Logic Journal of the IGPL 31 (2):271-286.
    Matrices that cannot be handled using conventional clustering, regression or classification methods are often found in every big data research area. In particular, datasets with thousands or millions of rows and less than a hundred columns regularly appear in biological so-called omic problems. The effectiveness of conventional data analysis approaches is hampered by this matrix structure, which necessitates some means of reduction. An evolutionary method called PreCLAS is presented in this article. Its main objective is to find a submatrix with (...)
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  23.  1
    Global and saturated probabilistic approximations based on generalized maximal consistent blocks.Patrick G. Clark, Jerzy W. Grzymala-Busse, Zdzislaw S. Hippe, Teresa Mroczek & Rafal Niemiec - 2023 - Logic Journal of the IGPL 31 (2):223-239.
    In this paper incomplete data sets, or data sets with missing attribute values, have three interpretations, lost values, attribute-concept values and ‘do not care’ conditions. Additionally, the process of data mining is based on two types of probabilistic approximations, global and saturated. We present results of experiments on mining incomplete data sets using six approaches, combining three interpretations of missing attribute values with two types of probabilistic approximations. We compare our six approaches, using the error rate computed as a result (...)
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  24.  4
    low-power HAR method for fall and high-intensity ADLs identification using wrist-worn accelerometer devices.Enrique A. de la Cal, Mirko Fáñez, Mario Villar, Jose R. Villar & Víctor M. González - 2023 - Logic Journal of the IGPL 31 (2):375-389.
    There are many real-world applications like healthcare systems, job monitoring, well-being and personal fitness tracking, monitoring of elderly and frail people, assessment of rehabilitation and follow-up treatments, affording Fall Detection (FD) and ADL (Activity of Daily Living) identification, separately or even at a time. However, the two main drawbacks of these solutions are that most of the times, the devices deployed are obtrusive (devices worn on not quite common parts of the body like neck, waist and ankle) and the poor (...)
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  25.  3
    Robust schedules for tardiness optimization in job shop with interval uncertainty.Hernán Díaz, Juan José Palacios, Irene Díaz, Camino R. Vela & Inés González-Rodríguez - 2023 - Logic Journal of the IGPL 31 (2):240-254.
    This paper addresses a variant of the job shop scheduling problem with total tardiness minimization where task durations and due dates are uncertain. This uncertainty is modelled with intervals. Different ranking methods for intervals are considered and embedded into a genetic algorithm. A new robustness measure is proposed to compare the different ranking methods and assess their capacity to predict ‘expected delays’ of jobs. Experimental results show that dealing with uncertainty during the optimization process yields more robust solutions. A sensitivity (...)
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  26.  4
    PBIL for optimizing inception module in convolutional neural networks.Pedro García-Victoria, Miguel A. Gutiérrez-Naranjo, Miguel Cárdenas-Montes & Roberto A. Vasco-Carofilis - 2023 - Logic Journal of the IGPL 31 (2):325-337.
    Inception module is one of the most used variants in convolutional neural networks. It has a large portfolio of success cases in computer vision. In the past years, diverse inception flavours, differing in the number of branches, the size and the number of the kernels, have appeared in the scientific literature. They are proposed based on the expertise of the practitioners without any optimization process. In this work, an implementation of population-based incremental learning is proposed for automatic optimization of the (...)
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  27.  2
    Streaming big time series forecasting based on nearest similar patterns with application to energy consumption.P. Jiménez-Herrera, L. Melgar-GarcÍa, G. Asencio-Cortés & A. Troncoso - 2023 - Logic Journal of the IGPL 31 (2):255-270.
    This work presents a novel approach to forecast streaming big time series based on nearest similar patterns. This approach combines a clustering algorithm with a classifier and the nearest neighbours algorithm. It presents two separate stages: offline and online. The offline phase is for training and finding the best models for clustering, classification and the nearest neighbours algorithm. The online phase is to predict big time series in real time. In the offline phase, data are divided into clusters and a (...)
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  28.  6
    Surrogate-based optimization of learning strategies for additively regularized topic models.Maria Khodorchenko, Nikolay Butakov, Timur Sokhin & Sergey Teryoshkin - 2023 - Logic Journal of the IGPL 31 (2):287-299.
    Topic modelling is a popular unsupervised method for text processing that provides interpretable document representation. One of the most high-level approaches is additively regularized topic models (ARTM). This method features better quality than other methods due to its flexibility and advanced regularization abilities. However, it is challenging to find an optimal learning strategy to create high-quality topics because a user needs to select the regularizers with their values and determine the order of application. Moreover, it may require many real runs (...)
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  29.  4
    Entity alignment via summary and attribute embeddings.Rumana Ferdous Munne & Ryutaro Ichise - 2023 - Logic Journal of the IGPL 31 (2):314-324.
    Entity alignment is the task of integrating heterogeneous knowledge among different knowledge graphs (KGs). KG is a popular way of storing facts about real-world entities. Unfortunately, a very limited number of the entities stored in different KGs are aligned. This paper presents an embedding-based entity alignment method that finds entity alignment by measuring the similarities between entity embeddings. Existing methods mainly focus on the relational structures and attributes information for the alignment process. Such methods fail while the entities have a (...)
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  30.  7
    Three-Stage Hybrid Clustering System for Diagnosing Children with Primary Headache Disorder.Svetlana Simić, Slađana Sakač, Zorana Banković, José R. Villar, José Luis Calvo-Rolle, Svetislav D. Simić & Dragan Simić - 2023 - Logic Journal of the IGPL 31 (2):300-313.
    Headache disorders can be considered as the predominant neurological condition. In the field of neurological diseases, migraine was estimated to cost a total of €27 billion per year for the loss through reduced work productivity in the European Community. Medical data and information in turn provide knowledge based on which physicians make scientific decisions for diagnosis and treatments. It is, therefore, very useful to create diagnostic tools to help physicians make better decisions. This paper is focused on a new hybrid (...)
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  31.  12
    Network security situation awareness forecasting based on statistical approach and neural networks.Pavol Sokol, Richard Staňa, Andrej Gajdoš & Patrik Pekarčík - 2023 - Logic Journal of the IGPL 31 (2):352-374.
    The usage of new and progressive technologies brings with it new types of security threats and security incidents. Their number is constantly growing.The current trend is to move from reactive to proactive activities. For this reason, the organization should be aware of the current security situation, including the forecasting of the future state. The main goal of organizations, especially their security operation centres, is to handle events, identify potential security incidents, and effectively forecast the network security situation awareness (NSSA). In (...)
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  32.  3
    novel method for anomaly detection using beta Hebbian learning and principal component analysis.Francisco Zayas-Gato, Álvaro Michelena, Héctor Quintián, Esteban Jove, José-Luis Casteleiro-Roca, Paulo Leitão & José Luis Calvo-Rolle - 2023 - Logic Journal of the IGPL 31 (2):390-399.
    In this research work a novel two-step system for anomaly detection is presented and tested over several real datasets. In the first step the novel Exploratory Projection Pursuit, Beta Hebbian Learning algorithm, is applied over each dataset, either to reduce the dimensionality of the original dataset or to face nonlinear datasets by generating a new subspace of the original dataset with lower, or even higher, dimensionality selecting the right activation function. Finally, in the second step Principal Component Analysis anomaly detection (...)
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  33.  7
    Remarks about the unification types of some locally tabular normal modal logics.Philippe Balbiani, ÇiĞdem Gencer, Maryam Rostamigiv & Tinko Tinchev - 2023 - Logic Journal of the IGPL 31 (1):115-139.
    It is already known that unifiable formulas in normal modal logic |$\textbf {K}+\square ^{2}\bot $| are either finitary or unitary and unifiable formulas in normal modal logic |$\textbf {Alt}_{1}+\square ^{2}\bot $| are unitary. In this paper, we prove that for all |$d{\geq }3$|⁠, unifiable formulas in normal modal logic |$\textbf {K}+\square ^{d}\bot $| are either finitary or unitary and unifiable formulas in normal modal logic |$\textbf {Alt}_{1}+\square ^{d}\bot $| are unitary.
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  34.  6
    Modelling dynamic behaviour of agents in a multiagent world: Logical analysis of Wh-questions and answers.Martina Číhalová & Marie Duží - 2023 - Logic Journal of the IGPL 31 (1):140-171.
    In a multiagent and multi-cultural world, the fine-grained analysis of agents’ dynamic behaviour, i.e. of their activities, is essential. Dynamic activities are actions that are characterized by an agent who executes the action and by other participants of the action. Wh-questions on the participants of the actions pose a difficult particular challenge because the variability of the types of possible answers to such questions is huge. To deal with the problem, we propose the analysis and classification of Wh-questions apt for (...)
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  35.  10
    Linear temporal justification logics with past and future time modalities.Meghdad Ghari - 2023 - Logic Journal of the IGPL 31 (1):1-38.
    Temporal justification logic is a new family of temporal logics of knowledge in which the knowledge of agents is modelled using a justification logic. In this paper, we present various temporal justification logics involving both past and future time modalities. We combine Artemov’s logic of proofs with linear temporal logic with past, and we also investigate several principles describing the interaction of justification and time. We present two kinds of semantics for our temporal justification logics, one based on interpreted systems (...)
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  36.  7
    On weak filters and ultrafilters: Set theory from (and for) knowledge representation.Costas D. Koutras, Christos Moyzes, Christos Nomikos, Konstantinos Tsaprounis & Yorgos Zikos - 2023 - Logic Journal of the IGPL 31 (1):68-95.
    Weak filters were introduced by K. Schlechta in the ’90s with the aim of interpreting defaults via a generalized ‘most’ quantifier in first-order logic. They arguably represent the largest class of structures that qualify as a ‘collection of large subsets’ of a given index set |$I$|⁠, in the sense that it is difficult to think of a weaker, but still plausible, definition of the concept. The notion of weak ultrafilter naturally emerges and has been used in epistemic logic and other (...)
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  37.  7
    Complexity of the interpretability logics ILW and ILP.Luka Mikec - 2023 - Logic Journal of the IGPL 31 (1):194-213.
    The interpretability logic ILP is the interpretability logic of all sufficiently strong |$\varSigma _1$|-sound finitely axiomatised theories, such as the Gödel-Bernays set theory. The interpretability logic IL is a strict subset of the intersection of the interpretability logics of all so-called reasonable theories, IL(All). It is known that both ILP and ILW are decidable, however their complexity has not been resolved previously. In [10] it was shown that the basic interpretability logic IL is PSPACE-complete. Here we prove the same for (...)
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  38.  10
    Logic of informal provability with truth values.Pawel Pawlowski & Rafal Urbaniak - 2023 - Logic Journal of the IGPL 31 (1):172-193.
    Classical logic of formal provability includes Löb’s theorem, but not reflection. In contrast, intuitions about the inferential behavior of informal provability (in informal mathematics) seem to invalidate Löb’s theorem and validate reflection (after all, the intuition is, whatever mathematicians prove holds!). We employ a non-deterministic many-valued semantics and develop a modal logic T-BAT of an informal provability operator, which indeed does validate reflection and invalidates Löb’s theorem. We study its properties and its relation to known provability-related paradoxical arguments. We also (...)
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  39.  12
    Corrigendum for.Lavinia Picollo - 2023 - Logic Journal of the IGPL 31 (1):214-217.
    In the originally published version of this manuscript, several errors were noted and listed in this corrigendum. The author apologises for these inaccuracies.
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  40.  6
    The relevance logic of Boolean groups.Yale Weiss - 2023 - Logic Journal of the IGPL 31 (1):96-114.
    In this article, I consider the positive logic of Boolean groups (i.e. Abelian groups where every non-identity element has order 2), where these are taken as frames for an operational semantics à la Urquhart. I call this logic BG. It is shown that the logic over the smallest nontrivial Boolean group, taken as a frame, is identical to the positive fragment of a quasi-relevance logic that was developed by Robles and Méndez (an extension of this result where negation is included (...)
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  41.  3
    Algorithmic correspondence for hybrid logic with binder.Zhiguang Zhao - 2023 - Logic Journal of the IGPL 31 (1):39-67.
    In the present paper, we develop the algorithmic correspondence theory for hybrid logic with binder |$\mathcal {H}(@, \downarrow )$|⁠. We define the class of Sahlqvist inequalities for |$\mathcal {H}(@, \downarrow )$|⁠, and each inequality of which is shown to have a first-order frame correspondent effectively computable by an algorithm |$\textsf {ALBA}^{\downarrow }$|⁠.
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