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24
Experience with embedding hardware description languages in HOL
 Theorem Provers in Circuit Design
, 1992
"... Abstract The semantics of hardware description languages can be represented in higher order logic. This provides a formal definition that is suitable for machine processing. Experiments are in progress at Cambridge to see whether this method can be the basis of practical tools based on the HOL theor ..."
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Cited by 38 (4 self)
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Abstract The semantics of hardware description languages can be represented in higher order logic. This provides a formal definition that is suitable for machine processing. Experiments are in progress at Cambridge to see whether this method can be the basis of practical tools based on the HOL theoremproving assistant. Three languages are being investigated: ELLA, Silage and VHDL. The approaches taken for these languages are compared and current progress on building semanticallybased theoremproving tools is discussed.
Trustworthy Tools for Trustworthy Programs: A Verified Verification Condition Generator
, 1994
"... Verification Condition Generator (VCG) tools have been effective in simplifying the task of proving programs correct. However, in the past these VCG tools have in general not themselves been mechanically proven, so any proof using and depending on these VCGs might have contained errors. In our w ..."
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Cited by 21 (1 self)
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Verification Condition Generator (VCG) tools have been effective in simplifying the task of proving programs correct. However, in the past these VCG tools have in general not themselves been mechanically proven, so any proof using and depending on these VCGs might have contained errors. In our work, we define and rigorously prove correct a VCG tool within the HOL theorem proving system, for a standard whileloop language, with one new feature not usually treated: expressions with side effects. Starting from a structural operational semantics of this programming language, we prove as theorems the axioms and rules of inference of a Hoarestyle axiomatic semantics, verifying their soundness. This axiomatic semantics is then used to define and prove correct a VCG tool for this language. Finally, this verified VCG is applied to an example program to verify its correctness.
The HOL logic extended with quantification over type variables
 Formal Methods in System Design, 3(12):724
, 1993
"... Abstract. The HOL system is an LCFstyle mechanized proofassistant for conducting proofs in higher order logic. This paper discusses a proposal to extend the primitive basis of the logic underlying the HOL system with a very simple form of quantification over types. It is shown how certain practica ..."
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Cited by 19 (0 self)
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Abstract. The HOL system is an LCFstyle mechanized proofassistant for conducting proofs in higher order logic. This paper discusses a proposal to extend the primitive basis of the logic underlying the HOL system with a very simple form of quantification over types. It is shown how certain practical problems with using the definitional mechanisms of HOL would be solved by the additional expressive power gained by making this extension.
Hybrid Interactive Theorem Proving using Nuprl and HOL
 IN MCCUNE [1997
, 1997
"... In this paper we give the first example of a significant piece of formal mathematics conducted in a hybrid of two different interactive systems. We constructively prove a theorem in Nuprl, from which a program can be extracted, but we use classical mathematics imported from HOL, and a connectio ..."
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Cited by 14 (1 self)
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In this paper we give the first example of a significant piece of formal mathematics conducted in a hybrid of two different interactive systems. We constructively prove a theorem in Nuprl, from which a program can be extracted, but we use classical mathematics imported from HOL, and a connection to some of HOL's definitional packages, for parts of the proof that do not contribute to the program.
A Proof Tool for Reasoning about Functional Programs
 In Proc. 1996 International Workshop on Higher Order Logic Theorem Proving, Lecture Notes in Computer Science 1125
, 1996
"... . This paper describes a system to support reasoning about lazy functional programs. We describe an approach based on combining a deep embedding of the language in HOL and a set of proof tools to raise the level of interaction with the theorem prover. This approach allows metatheoretic reasoning ab ..."
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Cited by 12 (1 self)
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. This paper describes a system to support reasoning about lazy functional programs. We describe an approach based on combining a deep embedding of the language in HOL and a set of proof tools to raise the level of interaction with the theorem prover. This approach allows metatheoretic reasoning about the semantics and reasoning about undefined programs while still supporting practical reasoning about programs in the language. 1 Introduction It is often claimed that functional programming languages, and in particular pure functional languages, are suitable for formal reasoning. This claim is supported by the fact that many people in the functional programming community do reason about their programs in a formal or semiformal way. Depending on the nature of the problem, different styles of reasoning, such as equational reasoning, induction and coinduction, are used. This paper discusses some of the technical issues involved in constructing a proof tool, using HOL [4], for reasoning ...
A Formalization of the Process Algebra CCS in Higher Order Logic
, 1992
"... : This paper describes a mechanization in higher order logic of the theory for a subset of Milner's ccs. The aim is to build a sound and effective tool to support verification and reasoning about process algebra specifications. To achieve this goal, the formal theory for pure ccs (no value passing) ..."
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Cited by 9 (0 self)
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: This paper describes a mechanization in higher order logic of the theory for a subset of Milner's ccs. The aim is to build a sound and effective tool to support verification and reasoning about process algebra specifications. To achieve this goal, the formal theory for pure ccs (no value passing) is defined in the interactive theorem prover hol, and a set of proof tools, based on the algebraic presentation of ccs, is provided. y Research supported by Consiglio Nazionale delle Ricerche (C.N.R.), Italy. Contents 1 Introduction 2 2 The HOL System 3 3 CCS 4 3.1 Syntax and Operational Semantics : : : : : : : : : : : : : : : : : : : : : : : 4 3.2 Observational Semantics : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 5 3.3 Axiomatic Characterization of Observational Congruence : : : : : : : : : : 6 3.4 A Modal Logic : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 7 4 Mechanization of CCS in HOL 8 4.1 The Syntax : : : : : : : : : : : : : : : : : : : : : ...
An MDA framework supporting OCL
 ELECTRONIC COMMUNICATIONS OF THE EASST
, 2006
"... We present an mda framework, developed in the functional programming language sml, that tries to bridge the gap between formal software development and the needs of industrial software development, e.g., code generation. Overall, our toolchain provides support for software modeling using uml/ocl a ..."
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Cited by 8 (5 self)
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We present an mda framework, developed in the functional programming language sml, that tries to bridge the gap between formal software development and the needs of industrial software development, e.g., code generation. Overall, our toolchain provides support for software modeling using uml/ocl and guides the user from typechecking and model transformations to code generation and formal analysis of the uml/ocl model. We conclude with a report on our experiences in using a functional language for implementing mda tools.
A Mechanized Theory of the picalculus in HOL
, 1992
"... : The ßcalculus is a process algebra for modelling concurrent systems in which the pattern of communication between processes may change over time. This paper describes the results of preliminary work on a definitional formal theory of the ßcalculus in higher order logic using the HOL theorem prov ..."
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Cited by 8 (0 self)
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: The ßcalculus is a process algebra for modelling concurrent systems in which the pattern of communication between processes may change over time. This paper describes the results of preliminary work on a definitional formal theory of the ßcalculus in higher order logic using the HOL theorem prover. The ultimate goal of this work is to provide practical mechanized support for reasoning with the ßcalculus about applications. Introduction The ßcalculus [17, 18] is a process algebra proposed by Milner, Parrow and Walker for modelling concurrent systems in which the pattern of interconnection between processes may change over time. This paper describes work on a mechanized formal theory of the ßcalculus in higher order logic using the HOL theorem prover [8]. The main aim of this work is to construct a practical and sound theoremproving tool to support reasoning about applications using the ßcalculus, as well as metatheoretic reasoning about the ßcalculus itself. Four general prin...
A package for extensible objectoriented data models with an application to imp
 SVV 2006, Computing Research Repository
, 2006
"... with an Application to IMP++ ..."