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We define a family of propositional constructive modal logics corresponding each to a different classical modal system. The logics are defined in the style of Wijesekera's constructive modal logic, and are both proof-theoretically and…

Logic · Mathematics 2022-10-19 Tiziano Dalmonte

Dynamic Epistemic Logic (DEL) is a logic that models information change in a multi-agent setting through the use of action models with pre- and post-conditions. In a recent work, DEL has been extended to first-order epistemic logic (DFOEL),…

Logic in Computer Science · Computer Science 2022-05-03 Côme Neyrand , Sophie Pinchinat

In standard epistemic logic, agent names are usually assumed to be common knowledge implicitly. This is unreasonable for various applications. Inspired by term modal logic and assignment operators in dynamic logic, we introduce a…

Artificial Intelligence · Computer Science 2018-06-26 Yanjing Wang , Jeremy Seligman

The aim of illocutionary logic is to explain how context can affect the meaning of certain special kinds of performative utterances. Recall that performative utterances are understood as follows: a speaker performs the illocutionary act…

Logic in Computer Science · Computer Science 2011-02-24 Andrew Schumann

This paper introduces epistemic graphs as a generalization of the epistemic approach to probabilistic argumentation. In these graphs, an argument can be believed or disbelieved up to a given degree, thus providing a more fine--grained…

Artificial Intelligence · Computer Science 2020-01-15 Anthony Hunter , Sylwia Polberg , Matthias Thimm

In this paper we provide a unifying description of different types of semantics of modal logic found in the literature via the framework of topological categories. In the style of categorical logic, we establish an exact correspondence…

Category Theory · Mathematics 2023-08-01 Lingyuan Ye

Modal logics are widely used in multi-agent systems to reason about actions, abilities, norms, or epistemic states. Combined with description logic languages, they are also a powerful tool to formalise modal aspects of ontology-based…

Logic in Computer Science · Computer Science 2023-07-25 Tiziano Dalmonte , Andrea Mazzullo , Ana Ozaki , Nicolas Troquard

We present a logical system that combines the well-known classical epistemic concepts of belief and knowledge with a concept of evidence such that the intuitive principle \textit{`evidence yields belief and knowledge'} is satisfied. Our…

Logic in Computer Science · Computer Science 2023-04-05 Steffen Lewitzka , Vinícius Pinto

Aristotle's discussions on modal syllogistic have often been viewed as error-prone and have garnered significant attention in the literature due to historical and philosophical interests. However, from a contemporary standpoint, they also…

Artificial Intelligence · Computer Science 2023-07-12 Yipu Li , Yanjing Wang

This note is concerned with a formal analysis of the problem of non-monotonic reasoning in intelligent systems, especially when the uncertainty is taken into account in a quantitative way. A firm connection between logic and probability is…

Artificial Intelligence · Computer Science 2013-04-05 Hung-Trung Nguyen

In the first part of this paper we analyzed finite non-deterministic matrix semantics for propositional non-normal modal logics as an alternative to the standard Kripke's possible world semantics. This kind of modal systems characterized by…

Logic · Mathematics 2021-01-08 Marcelo E. Coniglio , Luis Fariñas del Cerro , Newton M. Peron

Different theorem provers tend to produce proof objects in different formats and this is especially the case for modal logics, where several deductive formalisms (and provers based on them) have been presented. This work falls within the…

Logic in Computer Science · Computer Science 2016-09-15 Tomer Libal , Marco Volpe

In this paper, we present an alternative interpretation of propositional inquisitive logic as an epistemic logic of knowing how. In our setting, an inquisitive logic formula $\alpha$ being supported by a state is formalized as "knowing how…

Logic · Mathematics 2022-06-06 Haoyu Wang , Yanjing Wang , Yunsong Wang

Relation-changing modal logics are extensions of the basic modal logic that allow changes to the accessibility relation of a model during the evaluation of a formula. In particular, they are equipped with dynamic modalities that are able to…

Logic in Computer Science · Computer Science 2016-09-15 Carlos Areces , Raul Fervari , Guillaume Hoffmann , Mauricio Martel

We present Dynamic Epistemic Temporal Logic, a framework for reasoning about operations on multi-agent Kripke models that contain a designated temporal relation. These operations are natural extensions of the well-known "action models" from…

Logic in Computer Science · Computer Science 2014-11-25 Bryan Renne , Joshua Sack , Audrey Yap

We develop a framework for epistemic logic that combines relevant modal logic with classical propositional logic. In our framework the agent is modeled as reasoning in accordance with a relevant modal logic while the propositional fragment…

Logic in Computer Science · Computer Science 2022-06-08 Igor Sedlár , Pietro Vigiani

We study the expressive power of various modal logics with team semantics. We show that exactly the properties of teams that are downward closed and closed under team k-bisimulation, for some finite k, are definable in modal logic extended…

Logic in Computer Science · Computer Science 2014-06-25 Lauri Hella , Kerkko Luosto , Katsuhiko Sano , Jonni Virtema

Documents in scientific newspapers are often marked by attitudes and opinions of the author and/or other persons, who contribute with objective and subjective statements and arguments as well. In this respect, the attitude is often…

Computation and Language · Computer Science 2008-12-18 Sviatlana Danilava , Christoph Schommer

Formal, mathematically rigorous programming language semantics are the essential prerequisite for the design of logics and calculi that permit automated reasoning about concurrent programs. We propose a novel modular semantics designed to…

Programming Languages · Computer Science 2022-02-25 Crystal Chang Din , Reiner Hähnle , Ludovic Henrio , Einar Broch Johnsen , Violet Ka I Pun , Silvia Lizeth Tapia Tarifa

In this note, by integrating ideas concerning terminating tableaux-based procedures in modal logics and finite frame property of intuitionistic modal logic IK, we provide new and simpler decidability proofs for FIK and LIK.

Logic in Computer Science · Computer Science 2025-03-25 Philippe Balbiani , Cigdem Gencer