Unification and Finite Model Property for Linear Step-Like Temporal Multi-Agent Logic with the Universal Modality

This paper proposes a semantic description of the linear step-like temporal multi-agent logic with the universal modality $\mathcal{LTK}.sl_U$ based on the idea of non-reflexive non-transitive nature of time. We proved a finite model property and projective unification for this logic

An axiomatisation for the multi-modal logic of knowledge and linear time LTK

none2siThe paper aims at providing the multi-modal propositional logic LTK with a sound and complete axiomatisation. This logic combines temporal and epistemic operators and focuses on modeling the behaviour of a set of agents operating in a system on the background of a temporal framework. Time is represented as linear and discrete, whereas knowledge is modeled as an S5-like modality. A further modal operator intended to represent environment knowledge is added to the system in order to achieve the expressive power sufficient to describe the piece of information available to the agents at each moment in the flow of time. © The Author, 2007. Published by Oxford University Press. All rights reserved.mixedCalardo, Erica; Rybakov, Vladimir V.Calardo, Erica; Rybakov, Vladimir V

An axiomatisation for the multi-modal logic of knowledge and linear time LTK

The paper aims at providing the multi-modal propositional logic LTK with a sound and complete axiomatisation. This logic combines temporal and epistemic operators and focuses on m odeling the behaviour of a set of agents operating in a system on the background of a temporal framework. Time is represented as linear and discrete, whereas knowledge is modeled as an S5-like modality. A further modal operator intended to represent environment knowledge is added to the system in order to achieve the expressive power sufficient to describe the piece of information available to the agents at each moment in the flow of time