Basing a Modeling Environment on a General Purpose Theorem Prover

Abstract

Abstract : A general purpose theorem prover can be thought of as an extremely flexible modeling environment in which one can define and analyze almost any kind of model. A disadvantage to the full flexibility of a general purpose theorem prover is the lack of any guidance on how to construct a model and how then to apply the theorem prover to analyzing the model. In the general environment supplied by the prover, much time can be consumed in deciding how to specify a model and in interacting with and understanding feedback from the prover. However, specification templates, together with proof strategies whose design follows certain principles, can be used in many general purpose provers to create specialized modeling environments that address these difficulties. A specialized modeling environment created in this way can be further extended and/or further specialized by drawing on the underlying theorem prover for additional capabilities, and provides a means of integrating powerful theorem proving capabilities into existing software development environments by way of appropriate translation schemes. This paper will use TAME (Timed Automata Modeling Environment) to illustrate the creation, extension, and specialization of a modeling environment based on PVS, and its integration into several software development environments.