1 edition of Higher Order Logic and Hardware Verification found in the catalog.
Higher Order Logic and Hardware Verification
T. F. Melham
by Cambridge Univ Pr
Written in English
Includes bibliographical references and index.
|Series||Cambridge tracts in theoretical computer science -- 31|
|LC Classifications||TK7874 .M432 2009|
|The Physical Object|
Isabelle because it is based on higher-order unification. These proof assistants also typically have book(s), are current, popular, open-source, maintained, and have active support communities. Note: I used to reference the books, but . Books Shiu-Kai Chin and Susan Older, Access Control, Security, and Trust: A Logical Approach, CRC Press, new_theory `HOL `;; An Introduction to Hardware Verification in Higher Order Logic, Graham Birtwistle, Shiu-Kai Chin, Brian Graham. top.
The Forte formal verification environment for datapath-dominated hardware is described. Forte has proven to be effective in large-scale industrial trials and combines an efficient linear-time logic model-checking algorithm, namely the symbolic trajectory evaluation (STE), with lightweight theorem proving in higher-order logic. These are tightly integrated in a general-purpose Cited by: Atomic formulas in higher-order logic programs Higher-order logic programming languages Examples of higher-order programming Flexible atoms as goals Reasoning about higher-order programs Deﬁning some of the logical constants The conditional and negation-as-failure Using λ-terms as.
cal proofs, the best formalization of it so far is the Henkin second-order logic. In other words, I claim, that if two people started using second-order logic for formalizing mathematical proofs, person F with the full second-order logic and person Hwith the Henkin second-order logic, we would not be able to see any diﬀerence. Welcome to the home page for the book Programming with Higher-Order Logic by Dale Miller and Gopalan book was published by Cambridge University Press in June Use the menu above to explore this site.
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He also includes an introduction to higher-order logic, which is a widely used formalism in this subject, and describes how that formalism is actually used for hardware verification.
The book is based in part on the author's own research as well as on graduate by: The HOL system is a higher order logic theorem proving system implemented at Edinburgh University, Cambridge University and INRIA.
Its many applications, from the verification of hardware designs at all levels to the verification of programs and communication protocols are considered in depth in this volume.
Extending VLSI CAD with higher-order logic integrates formal verification with synthesis. The benefits of doing so are: 1) relating instruction-set descriptions to implementations, 2) designing at a higher level of abstraction than at the level of schematics, 3) verifying by proof, 4) reusing verified parameterized designs, 5) automatically compiling designs in higher-order logic to Cited by: 3.
In mathematics and logic, a higher-order logic is a form of predicate logic that is distinguished from first-order logic by additional quantifiers and, sometimes, stronger -order logics with their standard semantics are more expressive, but their model-theoretic properties are less well-behaved than those of first-order logic.
The term "higher-order logic", abbreviated as. The hardware descriptions are parameterized so that the verification results are applicable to an entire set of designs rather than just one instantiation.
To illustrate these ideas, the logical structure used to verify arithmetic hardware in HOL is outlined.
This book aims to show that a programming language based on a simply typed version of higher-order logic provides an elegant, declarative means for providing such a treatment.
Three broad topics are covered in pursuit of this goal. First, a proof-theoretic framework that supports a general view of logic programming is by: It was the sixth in the series of annual international workshops dedicated to the topic of Higher-Order Logic theorem proving, its usage in the HOL system, and its applications.
The volume contains 40 papers, including an invited paper by David Parnas, McMaster University, Canada, entitled "Some theorems we should prove". HIGHER-ORDER LOGIC for their own sake, and countable models of set theory are at the base of the inde-pendence proofs: ﬁrst-order logic’s loss thus can often be the mathematician’s or philosopher’s gain.
Extensions When some reasonable notionfalls outsidethe scope of ﬁrst-orderlogic, one ratherFile Size: KB. Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and by: This monograph develops techniques for equational reasoning in higher-order logic.
Due to its expressiveness, higher-order logic is used for specification and verification of hardware, software, and mathematics. In these applica tions, higher-order logic provides the necessary level of abstraction for con cise and natural formulations.
In case you are considering to adopt this book for courses with over 50 students, please contact [email protected] for more information. This introduction to mathematical logic starts with propositional calculus and first-order logic.
Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through. This advanced textbook presents an almost complete overview of techniques for hardware verification. It covers all approaches used in existing tools, such as binary and word-level decision diagrams, symbolic methods for equivalence checking, and temporal logic model checking, and introduces the use of higher-order logic theorem proving for Brand: Springer-Verlag Berlin Heidelberg.
All proofs are mechanically checked using the Higher Order Logic (HOL) system developed at Cambridge University . HOL was selected for this project based on its support for higher-order logic, generic specifica- tions, and polymorphic type constructs - all in support of writing and reasoning about general classes of com- p onents.
Higher-order programming is a style of computer programming that uses software components, like functions, modules or objects, as values. It is usually instantiated with, or borrowed from, models of computation such as lambda calculus which make heavy use of higher-order functions.
Product Information. This advanced textbook presents an almost complete overview of techniques for hardware verification. It covers all approaches used in existing tools, such as binary and word-level decision diagrams, symbolic methods for equivalence and temporal logic model checking, and introduces the use of higher-order logic theorem proving for verifying circuit correctness.
This monograph develops techniques for equational reasoning in higher-order logic. Due to its expressiveness, higher-order logic is used for specification and verification of hardware, software, and mathematics. In these applica tions, higher-order logic provides the necessary level of abstraction for con cise and natural : Birkhäuser Basel.
Logic programming is a programming paradigm which is largely based on formal program written in a logic programming language is a set of sentences in logical form, expressing facts and rules about some problem domain. Major logic programming language families include Prolog, answer set programming (ASP) and all of these languages, rules are written.
verifying hardware descriptions at a muc h higher lev el of abstraction than with propositional logic. There are, of course, also practical limitations due to complexity issues.
A higher-order logic is any logic which features higher-order predicates, which are predicates of predicates or of operations. If we think of a predicate as a function to truth values, then a higher-order predicate is a function on a power set or a function set.
Typed higher-order logic may be. Higher order logic in relation to computing and programming: 65 Higher order data and t yp es: 65 The computational nature of higher order natural deduction 68 Higher order logic in the meta-theory of formal systems: 70 Higher order logic and computational complexit y: 71 1 In tro duction Higher order logics, long considered b y.
Proofs in Higher-Order Logic. Abstract. Expansion trees are defined as generalizations of Herbrand instances for formulas in a nonextensional form of higher-order logic based on Church's simple theory of types.
Such expansion trees can be defined with or without the use of skolem functions. These trees store substitution terms and either critical.Automated reasoning has matured into one of the most advanced areas of computer science. It is used in many areas of the field, including software and hardware verification, logic and functional programming, formal methods, knowledge representation, deductive .In this paper the logic of broad necessity is explored.
Definitions of what it means for one modality to be broader than another are formulated, and it is proven, in the context of higher-order logic, that there is a broadest necessity, settling one of the central questions of this investigation.