Chapter 1 Specification and Verification using Temporal Logics ∗
نویسندگان
چکیده
This chapter illustrates two aspects of automata theory related to lineartime temporal logic LTL used for the verification of computer systems. First, we present a translation from LTL formulae to Büchi automata. The aim is to design an elementary translation which is reasonably efficient and produces small automata so that it can be easily taught and used by hand on real examples. Our translation is in the spirit of the classical tableau constructions but is optimized in several ways. Secondly, we recall how temporal operators can be defined from regular languages and we explain why adding even a single operator definable by a context-free language can lead to undecidability.
منابع مشابه
Implementing Temporal Logics: Tools for Execution and Proof (Tutorial Paper)
Temporal logic was originally developed in order to represent tense in natural language [36]. Within Computer Science, it has achieved a significant role in the formal specification and verification of concurrent and distributed systems [35]. Much of this popularity has been achieved as a number of useful concepts, such as safety, liveness and fairness can be formally, and concisely, specified ...
متن کاملSpecification and Verification using Temporal Logics
This chapter illustrates two aspects of automata theory related to lineartime temporal logic LTL used for the verification of computer systems. First, we present a translation from LTL formulae to Büchi automata. The aim is to design an elementary translation which is reasonably efficient and produces small automata so that it can be easily taught and used by hand on real examples. Our translat...
متن کاملA Temporal Trace Language for Formal Modelling and Analysis of Agent Systems
This chapter presents the hybrid Temporal Trace Language (TTL) for formal specification and analysis of dynamic properties of multi-agent systems. This language supports specification of both qualitative and quantitative aspects, and subsumes languages based on differential equations and temporal logics. TTL has a high expressivity and normal forms that enable automated analysis. Software envir...
متن کاملTemporal Logics of Knowledge and their Applications in Security
Temporal logics of knowledge are useful for reasoning about situations where the knowledge of an agent or component is important, and where change in this knowledge may occur over time. Here we investigate the application of temporal logics of knowledge to the specification and verification of security protocols. We show how typical assumptions relating to authentication protocols can be specif...
متن کاملLogics of Time and Action
We present an introductory survey of temporal and dynamic logics: logics for reasoning about how environments change over time, and how processes change their environments. We begin by introducing the historical development of temporal and dynamic logic, starting with the seminal work of Prior. This leads to a discussion of the use of temporal and dynamic logic in computer science. We describe ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010