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An industrially effective environment for formal hardware verification
 IEEE Transactions on ComputerAided Design of Integrated Circuits and Systems
, 2005
"... This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author’s copyrig ..."
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Cited by 32 (5 self)
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This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author’s copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
Deciding Boolean Algebra with Presburger Arithmetic
 J. of Automated Reasoning
"... Abstract. We describe an algorithm for deciding the firstorder multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmetic operations (PA). BAPA can express the relationship between integer variables and cardinalities of unbounded ..."
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Cited by 31 (26 self)
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Abstract. We describe an algorithm for deciding the firstorder multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmetic operations (PA). BAPA can express the relationship between integer variables and cardinalities of unbounded finite sets, and supports arbitrary quantification over sets and integers. Our original motivation for BAPA is deciding verification conditions that arise in the static analysis of data structure consistency properties. Data structures often use an integer variable to keep track of the number of elements they store; an invariant of such a data structure is that the value of the integer variable is equal to the number of elements stored in the data structure. When the data structure content is represented by a set, the resulting constraints can be captured in BAPA. BAPA formulas with quantifier alternations arise when verifying programs with annotations containing quantifiers, or when proving simulation relation conditions for refinement and equivalence of program fragments. Furthermore, BAPA constraints can be used for proving the termination of programs that manipulate data structures, as well as
Floating point verification in HOL Light: the exponential function
 UNIVERSITY OF CAMBRIDGE COMPUTER LABORATORY
, 1997
"... Since they often embody compact but mathematically sophisticated algorithms, operations for computing the common transcendental functions in floating point arithmetic seem good targets for formal verification using a mechanical theorem prover. We discuss some of the general issues that arise in veri ..."
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Cited by 31 (6 self)
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Since they often embody compact but mathematically sophisticated algorithms, operations for computing the common transcendental functions in floating point arithmetic seem good targets for formal verification using a mechanical theorem prover. We discuss some of the general issues that arise in verifications of this class, and then present a machinechecked verification of an algorithm for computing the exponential function in IEEE754 standard binary floating point arithmetic. We confirm (indeed strengthen) the main result of a previously published error analysis, though we uncover a minor error in the hand proof and are forced to confront several subtle issues that might easily be overlooked informally. The development described here includes, apart from the proof itself, a formalization of IEEE arithmetic, a mathematical semantics for the programming language in which the algorithm is expressed, and the body of pure mathematics needed. All this is developed logically from first prin...
A MachineChecked Theory of Floating Point Arithmetic
, 1999
"... . Intel is applying formal verification to various pieces of mathematical software used in Merced, the first implementation of the new IA64 architecture. This paper discusses the development of a generic floating point library giving definitions of the fundamental terms and containing formal pr ..."
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Cited by 31 (5 self)
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. Intel is applying formal verification to various pieces of mathematical software used in Merced, the first implementation of the new IA64 architecture. This paper discusses the development of a generic floating point library giving definitions of the fundamental terms and containing formal proofs of important lemmas. We also briefly describe how this has been used in the verification effort so far. 1 Introduction IA64 is a new 64bit computer architecture jointly developed by HewlettPackard and Intel, and the forthcoming Merced chip from Intel will be its first silicon implementation. To avoid some of the limitations of traditional architectures, IA64 incorporates a unique combination of features, including an instruction format encoding parallelism explicitly, instruction predication, and speculative /advanced loads [4]. Nevertheless, it also offers full upwardscompatibility with IA32 (x86) code. 1 IA64 incorporates a number of floating point operations, the centerpi...
A Brief Overview of HOL4
 In Theorem Proving in Higher Order Logics, TPHOLs
, 2008
"... Abstract. The HOL4 proof assistant supports specification and proof in classical higher order logic. It is the latest in a long line of similar systems. In this short overview, we give an outline of the HOL4 system and how it may be applied in formal verification. 1 ..."
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Cited by 31 (3 self)
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Abstract. The HOL4 proof assistant supports specification and proof in classical higher order logic. It is the latest in a long line of similar systems. In this short overview, we give an outline of the HOL4 system and how it may be applied in formal verification. 1
RegionBased Qualitative Geometry
, 2000
"... We present a highly expressive logical language for describing qualitative configurations of spatial regions. We call the theory Region Based Geometry (RBG). Our axiomatisation is based on Tarski's Geometry of Solids, in which the parthood relation and the concept of sphere are taken as primitiv ..."
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Cited by 31 (14 self)
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We present a highly expressive logical language for describing qualitative configurations of spatial regions. We call the theory Region Based Geometry (RBG). Our axiomatisation is based on Tarski's Geometry of Solids, in which the parthood relation and the concept of sphere are taken as primitive. We show that our theory is categorical: all models are isomorphic to a classical interpretation in terms of Cartesian spaces over R. We investigate
Deductive verification of realtime systems using STeP
 COMPUTER SCIENCE DEPARTMENT, STANFORD UNIVERSITY
, 1998
"... We present a modular framework for proving temporal properties of realtime systems, based on clocked transition systems and lineartime temporal logic. We show how deductive verification rules, verification diagrams, and automatic invariant generation can be used to establish properties of realtim ..."
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Cited by 30 (8 self)
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We present a modular framework for proving temporal properties of realtime systems, based on clocked transition systems and lineartime temporal logic. We show how deductive verification rules, verification diagrams, and automatic invariant generation can be used to establish properties of realtime systems in this framework. We also discuss global and modular proofs of the branchingtime property of nonZenoness. As an example, we present the mechanical verification of the generalized railroad crossing case study using the Stanford Temporal Prover, STeP.
Semantic Foundations for Embedding HOL in Nuprl
 ALGEBRAIC METHODOLOGY AND SOFTWARE TECHNOLOGY
, 1996
"... We give a new semantics for Nuprl's constructive type theory that justifies a useful embedding of the logic of the HOL theorem prover inside Nuprl. The embedding gives Nuprl effective access to most of the large body of formalized mathematics that the HOL community has amassed over the last dec ..."
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Cited by 29 (2 self)
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We give a new semantics for Nuprl's constructive type theory that justifies a useful embedding of the logic of the HOL theorem prover inside Nuprl. The embedding gives Nuprl effective access to most of the large body of formalized mathematics that the HOL community has amassed over the last decade. The new semantics is dramatically simpler than the old, and gives a novel and general way of adding settheoretic equivalence classes to untyped functional programming languages.
Experiments on supporting interactive proof using resolution
 In Basin and Rusinowitch [4
"... Abstract. Interactive theorem provers can model complex systems, but require much effort to prove theorems. Resolution theorem provers are automatic and powerful, but they are designed to be used for very different applications. This paper reports a series of experiments designed to determine whethe ..."
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Cited by 28 (8 self)
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Abstract. Interactive theorem provers can model complex systems, but require much effort to prove theorems. Resolution theorem provers are automatic and powerful, but they are designed to be used for very different applications. This paper reports a series of experiments designed to determine whether resolution can support interactive proof as it is currently done. In particular, we present a sound and practical encoding in firstorder logic of Isabelle’s type classes. 1
Nemos: A Framework for Axiomatic and Executable Specifications of Memory Consistency Models
 In International Parallel and Distributed Processing Symposium (IPDPS
, 2003
"... Conforming to the underlying memory consistency rules is a fundamental requirement for implementing shared memory systems and writing multiprocessor programs. ..."
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Cited by 28 (5 self)
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Conforming to the underlying memory consistency rules is a fundamental requirement for implementing shared memory systems and writing multiprocessor programs.