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MONA: Monadic SecondOrder Logic in Practice
 IN PRACTICE, IN TOOLS AND ALGORITHMS FOR THE CONSTRUCTION AND ANALYSIS OF SYSTEMS, FIRST INTERNATIONAL WORKSHOP, TACAS '95, LNCS 1019
, 1995
"... The purpose of this article is to introduce Monadic Secondorder Logic as a practical means of specifying regularity. The logic is a highly succinct alternative to the use of regular expressions. We have built a tool MONA, which acts as a decision procedure and as a translator to finitestate au ..."
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Cited by 122 (19 self)
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The purpose of this article is to introduce Monadic Secondorder Logic as a practical means of specifying regularity. The logic is a highly succinct alternative to the use of regular expressions. We have built a tool MONA, which acts as a decision procedure and as a translator to finitestate automata. The tool is based on new algorithms for minimizing finitestate automata that use binary decision diagrams (BDDs) to represent transition functions in compressed form. A byproduct of this work is a new bottomup algorithm to reduce BDDs in linear time without hashing. The potential
Automatic Verification of Parameterized Synchronous Systems (Extended Abstract)
 In Proc. 8th Int'l. Conference on ComputerAided Verification (CAV
, 1996
"... ) E. Allen Emerson and Kedar S. Namjoshi Department of Computer Sciences, The University of Texas at Austin, U.S.A. Abstract. Systems with an arbitrary number of homogeneous processes occur in many applications. The Parameterized Model Checking Problem (PMCP) is to determine whether a temporal pro ..."
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Cited by 56 (6 self)
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) E. Allen Emerson and Kedar S. Namjoshi Department of Computer Sciences, The University of Texas at Austin, U.S.A. Abstract. Systems with an arbitrary number of homogeneous processes occur in many applications. The Parameterized Model Checking Problem (PMCP) is to determine whether a temporal property is true of every size instance of the system. We consider systems formed by a synchronous parallel composition of a single control process with an arbitrary number of homogeneous user processes, and show that the PMCP is decidable for properties expressed in an indexed propositional temporal logic. While the problem is in general PSPACEcomplete, our initial experimental results indicate that the method is usable in practice. 1 Introduction Systems with an arbitrary number of homogeneous processes occur in many contexts, especially in protocols for data communication, cache coherence, and classical synchronization problems. Current verification work on such systems has focussed mostly...
Verifying Systems with Replicated Components in Murφ
, 1997
"... An extension to the Murphi verifier is presented to verify systems with replicated identical components. Although most systems are finitestate in nature, many of them are also designed to be scalable, so that a description gives a family of systems, each member of which has a different number of re ..."
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Cited by 43 (3 self)
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An extension to the Murphi verifier is presented to verify systems with replicated identical components. Although most systems are finitestate in nature, many of them are also designed to be scalable, so that a description gives a family of systems, each member of which has a different number of replicated components. It is therefore desirable to be able to verify the entire family of systems, independent of the exact number of replicated components. The verification is performed by explicit state enumeration in an abstract state space where states do not record the exact numbers of components. We provide an extension to the existing Murphi language, by which a designer can easily specify a system in its concrete form. Through a new datatype, called RepetitiveID, a designer can suggest the use of this abstraction to verify a family of systems. First of all, Murphi automatically checks the soundness of this abstraction. Then it automatically translates the system description to an abstract ...
Hardware Verification using Monadic SecondOrder Logic
 IN COMPUTER AIDED VERIFICATION : 7TH INTERNATIONAL CONFERENCE, CAV '95, LNCS 939
, 1995
"... We show how the secondorder monadic theory of strings can be used to specify hardware components and their behavior. This logic admits a decision procedure and countermodel generator based on canonical automata for formulas. We have used a system implementing these concepts to verify, or find e ..."
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Cited by 25 (10 self)
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We show how the secondorder monadic theory of strings can be used to specify hardware components and their behavior. This logic admits a decision procedure and countermodel generator based on canonical automata for formulas. We have used a system implementing these concepts to verify, or find errors in, a number of circuits proposed in the literature. The techniques we use make it easier to identify regularity in circuits, including those that are parameterized or have parameterized behavioral specifications. Our proofs are semantic and do not require lemmas or induction as would be needed when employing a conventional theory of strings as a recursive data type.
Automata Based Symbolic Reasoning in Hardware Verification
, 1998
"... . We present a new approach to hardware verification based on describing circuits in Monadic Secondorder Logic (M2L). We show how to use this logic to represent generic designs like nbit adders, which are parameterized in space, and sequential circuits, where time is an unbounded parameter. M2L ad ..."
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Cited by 19 (11 self)
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. We present a new approach to hardware verification based on describing circuits in Monadic Secondorder Logic (M2L). We show how to use this logic to represent generic designs like nbit adders, which are parameterized in space, and sequential circuits, where time is an unbounded parameter. M2L admits a decision procedure, implemented in the Mona tool [17], which reduces formulas to canonical automata. The decision problem for M2L is nonelementary decidable and thus unlikely to be usable in practice. However, we have used Mona to automatically verify, or find errors in, a number of circuits studied in the literature. Previously published machine proofs of the same circuits are based on deduction and may involve substantial interaction with the user. Moreover, our approach is orders of magnitude faster for the examples considered. We show why the underlying computations are feasible and how our use of Mona generalizes standard BDDbased hardware reasoning. 1. Introduction Correctnes...
Verification of a Parameterized Bus Arbitration Protocol
, 1998
"... Model Checking is well established as a verification technique for finitestate systems. Several important types of systems, such as protocols parameterized by the number of processes, are however inherently infinitestate, hence Model Checking cannot be applied directly to determine correctness of t ..."
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Cited by 6 (1 self)
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Model Checking is well established as a verification technique for finitestate systems. Several important types of systems, such as protocols parameterized by the number of processes, are however inherently infinitestate, hence Model Checking cannot be applied directly to determine correctness of the system.
Monadic Secondorder Logic for Parameterized Verification
 Basic Research in Computer Science
, 1994
"... Much work in automatic verification considers families of similar finitestate systems. But an often overlooked property is that sometimes a single finitestate system can be used to describe a parameterized, infinite family of systems. Thus verification of unbounded state spaces can take place ..."
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Cited by 2 (1 self)
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Much work in automatic verification considers families of similar finitestate systems. But an often overlooked property is that sometimes a single finitestate system can be used to describe a parameterized, infinite family of systems. Thus verification of unbounded state spaces can take place by reduction to finite ones.
Symbolic executions of symmetrical parallel programs
 In: Proc. of 4th Euromicro Workshop on Parallel and Distributed Processing
, 1996
"... ..."
Refactoring Design Models for Inductive Verification
 IN PROCEEDINGS OF INTERNATIONAL SYMPOSIUM ON SOFTWARE TESTING AND ANALYSIS (ISSTA2002
, 2002
"... Systems composed of many identical processes can sometimes be verified inductively using a network invariant, but systems whose component processes vary in some systematic way are not amenable to direct application of that method. We ..."
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Cited by 2 (2 self)
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Systems composed of many identical processes can sometimes be verified inductively using a network invariant, but systems whose component processes vary in some systematic way are not amenable to direct application of that method. We