Past–future separation and normal forms in temporal predicate logic specifications

Abstract

Temporal specifications are often used when phenomena are modelled where dynamics play a main role. If simulation is one of the aims of modelling, usually a restricted, executable modelling language format is used, based on some form of past to future implications. In this paper a detailed transformation procedure is described that takes any temporal predicate logic specification and generates a specification in a past implies future normal format. The procedure works for temporal specifications in which the atoms either express time ordering relations or are state-related, i.e., include only one time variable.

How the Brain Creates Emergent Information by the Development of Mental Models: An Analysis from the Perspective of Temporal Factorisation and Criterial Causation

“…This is a use of Predicate Logic for which numbers can be used and for which constants, terms and variables can be used for time points t, state properties p, and traces tr. For somewhat similar or comparable uses of Predicate Logic see (Bosse et al 2009;Bosse and Treur 2011;Sharpanskykh and Treur 2010;Treur 2009) or (Treur 2016), Chap. 13.…”

A Temporal Trace Language for Formal Modelling and Analysis of Agent Systems

“…Finally, the quantifiers are distributed over and within these implications. Now consider the detailed description of these steps (for a more profound description of the procedure see [37]). …”