http://popups.lib.uliege.be/1373-5411/index.php?id=4226 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=824 Current semi-automated theorem provers are often advertised as "mathematical assistant systems". However, these tools behave too passively and in a stereotypic way to meet this ambitious goal because they lack the capability to adequately take into account requirements on proof search control and user demands for their own actions. Motivated by this deficit, we have incorporated several facilities into the DMEGA proof development system that anticipate a number of divergent factors, based on mathematical knowledge, proof search defaults, and expectations about users. The techniques enhance the system's functionality through proof planning by knowledge-intensive methods, proof search guidance by default suggesting agents, and proof presentation by redundancy avoidance measures. The system's behavior suggests that anticipation is without doubt a central driving force in a mathematical assistant. Mon, 01 Jul 2024 14:00:28 +0200 Thu, 10 Oct 2024 09:45:23 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=824 http://popups.lib.uliege.be/1373-5411/index.php?id=3260 Present paper address the synchronization classification of discrete agents by the means of z-transform. The developed agent based anticipative model enables us to change the future as well as the past chain of events. Emergent synchronization patterns determined by the application of z-transform provide the base for determination of stability regions in systems of higher complexities. One of the important results provided is that the proposed agent-based system is apparently controllable by considering the frequency response of the system. The proof of the stability for the arbitrary set of proposed anticipatory agents is proposed. Fri, 13 Sep 2024 13:34:46 +0200 Tue, 08 Oct 2024 17:24:00 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3260