Implementing mathematics with the Nuprl proof development system
Implementing mathematics with the Nuprl proof development system
Common LISP: the language
Mechanical geometry theorem proving
Mechanical geometry theorem proving
A computational logic handbook
A computational logic handbook
Journal of Automated Reasoning
Common LISP: the language (2nd ed.)
Common LISP: the language (2nd ed.)
The Boyer-Moore Prover and Nuprl: an experimental comparison
Logical frameworks
Functional instantiation in first-order logic
Artificial intelligence and mathematical theory of computation
Introduction to HOL: a theorem proving environment for higher order logic
Introduction to HOL: a theorem proving environment for higher order logic
A mechanical proof of quadratic reciprocity
Journal of Automated Reasoning
IMPS: an interactive mathematical proof system
Journal of Automated Reasoning
Strong static type checking for functional common lisp
Strong static type checking for functional common lisp
Comparing Verification Systems: Interactive Consistency in ACL2
IEEE Transactions on Software Engineering
Metamathematics, machines, and Go¨del's proof
Metamathematics, machines, and Go¨del's proof
Symbolic Model Checking
ACL2 Theorems About Commercial Microprocessors
FMCAD '96 Proceedings of the First International Conference on Formal Methods in Computer-Aided Design
VIS: A System for Verification and Synthesis
CAV '96 Proceedings of the 8th International Conference on Computer Aided Verification
Automated Correctness Proofs of Machine Code Programs for a Commercial Microprocessor
CADE-11 Proceedings of the 11th International Conference on Automated Deduction: Automated Deduction
WIFT '95 Proceedings of the 1st Workshop on Industrial-Strength Formal Specification Techniques
Comparing Verification Systems: Interactive Consistency in ACL2
IEEE Transactions on Software Engineering
A Mechanically Checked Proof of the AMD5K86TM Floating-Point Division Program
IEEE Transactions on Computers
A Mechanically Checked Proof of a Multiprocessor Result via a Uniprocessor View
Formal Methods in System Design
Efficient Simulation of Formal Processor Models
Formal Methods in System Design
Automatic generation of program specifications
ISSTA '02 Proceedings of the 2002 ACM SIGSOFT international symposium on Software testing and analysis
Introduction to logic-based artificial intelligence
Logic-based artificial intelligence
Towards a mechanically checked theory of computation: the ACL2 project
Logic-based artificial intelligence
The Correctness of the Fast Fourier Transform: A Structured Proof in ACL2
Formal Methods in System Design
Model Checking Complete Requirements Specifications Using Abstraction
Automated Software Engineering
Structured Theory Development for a Mechanized Logic
Journal of Automated Reasoning
Analytic Verification of Flight Software
IEEE Intelligent Systems
Proving Theorems About Java-Like Byte Code
Correct System Design, Recent Insight and Advances, (to Hans Langmaack on the occasion of his retirement from his professorship at the University of Kiel)
Symbolic Simulation: An ACL2 Approach
FMCAD '98 Proceedings of the Second International Conference on Formal Methods in Computer-Aided Design
Lifted-FL: A Pragmatic Implementation of Combined Model Checking and Theorem Proving
TPHOLs '99 Proceedings of the 12th International Conference on Theorem Proving in Higher Order Logics
Fast Tactic-Based Theorem Proving
TPHOLs '00 Proceedings of the 13th International Conference on Theorem Proving in Higher Order Logics
A Certified Polynomial-Based Decision Procedure for Propositional Logic
TPHOLs '01 Proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics
Induction-Oriented Formal Verification in Symmetric Interconnection Networks
CHARME '01 Proceedings of the 11th IFIP WG 10.5 Advanced Research Working Conference on Correct Hardware Design and Verification Methods
KIV 3.0 for Provably Correct Systems
FM-Trends 98 Proceedings of the International Workshop on Current Trends in Applied Formal Method: Applied Formal Methods
Mechanical Abstraction of CSPZ Processes
FME '02 Proceedings of the International Symposium of Formal Methods Europe on Formal Methods - Getting IT Right
Structural Embeddings: Mechanization with Method
FM '99 Proceedings of the Wold Congress on Formal Methods in the Development of Computing Systems-Volume I - Volume I
Linking Theorem Proving and Model-Checking with Well-Founded Bisimulation
CAV '99 Proceedings of the 11th International Conference on Computer Aided Verification
ICS: Integrated Canonizer and Solver
CAV '01 Proceedings of the 13th International Conference on Computer Aided Verification
Predicate Subtyping with Predicate Sets
TPHOLs '01 Proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics
System Description: RDL : Rewrite and Decision Procedure Laboratory
IJCAR '01 Proceedings of the First International Joint Conference on Automated Reasoning
Formal Methods For Developing High Assurance Computer Systems: Working Group Report
WIFT '98 Proceedings of the Second IEEE Workshop on Industrial Strength Formal Specification Techniques
Constraint contextual rewriting
Journal of Symbolic Computation - Special issue: First order theorem proving
Automatic verification of functions with accumulating parameters
Journal of Functional Programming
Automatic abstraction and verification of verilog models
Proceedings of the 41st annual Design Automation Conference
The science of deriving dense linear algebra algorithms
ACM Transactions on Mathematical Software (TOMS)
Customised Induction Rules for Proving Correctness of Imperative Programs
SEFM '05 Proceedings of the Third IEEE International Conference on Software Engineering and Formal Methods
Refinement strategies for verification methods based on datapath abstraction
ASP-DAC '06 Proceedings of the 2006 Asia and South Pacific Design Automation Conference
Finite-state verification for high performance computing
Proceedings of the second international workshop on Software engineering for high performance computing system applications
Trusting trusted hardware: towards a formal model for programmable secure coprocessors
WOEC'98 Proceedings of the 3rd conference on USENIX Workshop on Electronic Commerce - Volume 3
Evaluating SFI for a CISC architecture
USENIX-SS'06 Proceedings of the 15th conference on USENIX Security Symposium - Volume 15
LCF-Style Propositional Simplification with BDDs and SAT Solvers
TPHOLs '08 Proceedings of the 21st International Conference on Theorem Proving in Higher Order Logics
Electronic Notes in Theoretical Computer Science (ENTCS)
A Formalization of Powerlist Algebra in ACL2
Journal of Automated Reasoning
Effective interactive proofs for higher-order imperative programs
Proceedings of the 14th ACM SIGPLAN international conference on Functional programming
Achieving information flow security through monadic control of effects
Journal of Computer Security - 18th IEEE Computer Security Foundations Symposium (CSF 18)
An Input/Output Semantics for Distributed Program Equivalence Reasoning
Electronic Notes in Theoretical Computer Science (ENTCS)
Strategic Issues, Problems and Challenges in Inductive Theorem Proving
Electronic Notes in Theoretical Computer Science (ENTCS)
Proving programs incorrect using a sequent calculus for Java dynamic logic
TAP'07 Proceedings of the 1st international conference on Tests and proofs
Trace-based verification of imperative programs with I/O
Journal of Symbolic Computation
An open extensible tool environment for event-b
ICFEM'06 Proceedings of the 8th international conference on Formal Methods and Software Engineering
Hybrid verification of a hardware modular reduction engine
Proceedings of the International Conference on Formal Methods in Computer-Aided Design
Case-Analysis for rippling and inductive proof
ITP'10 Proceedings of the First international conference on Interactive Theorem Proving
The isabelle collections framework
ITP'10 Proceedings of the First international conference on Interactive Theorem Proving
Crowd-scale interactive formal reasoning and analytics
Proceedings of the 26th annual ACM symposium on User interface software and technology
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ACL2 is a reimplemented extended version of Boyer and Moore's Nqthm and Kaufmann's Pc-Nqthm, intended for large scale verification projects. This paper deals primarily with how we scaled up Nqthm's logic to an "industrial strength" programming language驴namely, a large applicative subset of Common Lisp驴while preserving the use of total functions within the logic. This makes it possible to run formal models efficiently while keeping the logic simple. We enumerate many other important features of ACL2 and we briefly summarize two industrial applications: a model of the Motorola CAP digital signal processing chip and the proof of the correctness of the kernel of the floating point division algorithm on the AMD5K86 microprocessor by Advanced Micro Devices, Inc.