Abstract

Generalized symbolic trajectory evaluation (GSTE) is a model checking approach and has successfully demonstrated its powerful capacity in formal verification of VLSI systems. GSTE is an extension of symbolic trajectory evaluation (STE) to the model checking ofω-regular properties. It is an alternative to classical model checking algorithms where properties are specified as finite-state automata. In GSTE, properties are specified as assertion graphs, which are labeled directed graphs where each edge is labeled with two labeling functions: antecedent and consequent. In this paper, we show the complement relation between GSTE assertion graphs and finite-state automata with the expressiveness of regular languages andω-regular languages. We present an algorithm that transforms a GSTE assertion graph to a finite-state automaton and vice versa. By applying this algorithm, we transform the problem of GSTE assertion graphs implication to the problem of automata language containment. We demonstrate our approach with its application to verification of an FIFO circuit.

Highlights

  • Generalized symbolic trajectory evaluation (GSTE) [1,2,3,4] is a model checking approach which was originally developed at Intel and has successfully demonstrated its powerful capacity in formal verification of VLSI systems [1,2,3,4,5,6,7]

  • We show the complement relation between GSTE assertion graphs and finite-state automata with the expressiveness of regular languages and ω-regular languages

  • We present an algorithm that transforms a GSTE assertion graph to a finite-state automaton and vice versa

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Summary

A Transformation-Based Approach to Implication of GSTE Assertion Graphs

Generalized symbolic trajectory evaluation (GSTE) is a model checking approach and has successfully demonstrated its powerful capacity in formal verification of VLSI systems. GSTE is an extension of symbolic trajectory evaluation (STE) to the model checking of ω-regular properties. It is an alternative to classical model checking algorithms where properties are specified as finite-state automata. In GSTE, properties are specified as assertion graphs, which are labeled directed graphs where each edge is labeled with two labeling functions: antecedent and consequent. We present an algorithm that transforms a GSTE assertion graph to a finite-state automaton and vice versa. By applying this algorithm, we transform the problem of GSTE assertion graphs implication to the problem of automata language containment. We demonstrate our approach with its application to verification of an FIFO circuit

Introduction
Preliminaries
Transformations between GSTE Assertion Graphs and Finite-State Automata
Application to GSTE Assertion Graphs Implication
Conclusion
Full Text
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