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Proof and System-Reliability
  • Language: en
  • Pages: 419

Proof and System-Reliability

As society comes to rely increasingly on software for its welfare and prosperity there is an urgent need to create systems in which it can trust. Experience has shown that confidence can only come from a more profound understanding of the issues, which in turn can come only if it is based on logically sound foundations. This volume contains contributions from leading researchers in the critical disciplines of computing and information science, mathematics, logic, and complexity. All contributions are self-contained, aiming at comprehensibility as well as comprehensiveness. The volume also contains introductory hints to technical issues, concise surveys, introductions, and various fresh results and new perspectives.

Concrete Semantics
  • Language: en
  • Pages: 304

Concrete Semantics

  • Type: Book
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  • Published: 2014-12-03
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  • Publisher: Springer

Part I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally. The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.

A Machine-Checked, Type-Safe Model of Java Concurrency
  • Language: en
  • Pages: 440

A Machine-Checked, Type-Safe Model of Java Concurrency

The Java programming language provides safety and security guarantees such as type safety and its security architecture. They distinguish it from other mainstream programming languages like C and C++. In this work, we develop a machine-checked model of concurrent Java and the Java memory model and investigate the impact of concurrency on these guarantees. From the formal model, we automatically obtain an executable verified compiler to bytecode and a validated virtual machine.

Logic for Programming, Artificial Intelligence, and Reasoning
  • Language: en
  • Pages: 476

Logic for Programming, Artificial Intelligence, and Reasoning

  • Type: Book
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  • Published: 2003-06-30
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  • Publisher: Springer

This book constitutes the refereed proceedings of the 9th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2002, held in Tbilisi, Georgia in October 2002.The 30 revised full papers presented were carefully reviewed and selected from 68 submissions. Among the topics covered are constraint programming, formal software enginering, formal verification, resolution, unification, proof planning, agent splitting, binary decision diagrams, binding, linear logic, Isabelle theorem prover, guided reduction, etc.

Theoretical Aspects of Computing - ICTAC 2006
  • Language: en
  • Pages: 384

Theoretical Aspects of Computing - ICTAC 2006

This book constitutes the refereed proceedings of the Third International Colloquium on Theoretical Aspects of Computing, ICTAC 2006 held in Tunis, Tunisia in November 2006. The 21 revised full papers presented together with three invited talks and summaries of two tutorials were carefully reviewed and selected from 78 submissions.

Theorem Proving in Higher Order Logics
  • Language: en
  • Pages: 418

Theorem Proving in Higher Order Logics

  • Type: Book
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  • Published: 2005-08-29
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  • Publisher: Springer

This volume constitutes the proceedings of the 18th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2005), which was held during22–25August2005inOxford,UK.TPHOLscoversallaspectsoftheorem proving in higher order logics as well as related topics in theorem proving and veri?cation. There were 49 papers submitted to TPHOLs 2005 in the full research c- egory, each of which was refereed by at least three reviewers selected by the programcommittee. Of these submissions, 20 researchpapersand 4 proof pearls were accepted for presentation at the conference and publication in this volume. In keeping with longstanding tradition, TPHOLs 2005 also o?ered a venue for the presentation of work in progress, where researchers invited discussion by means of a brief introductory talk and then discussed their work at a poster session. A supplementary proceedings volume was published as a 2005 technical report of the Oxford University Computing Laboratory. The organizers are grateful to Wolfgang Paul and Andrew Pitts for agreeing to give invited talks at TPHOLs 2005.

Logic for Programming, Artificial Intelligence, and Reasoning
  • Language: en
  • Pages: 756

Logic for Programming, Artificial Intelligence, and Reasoning

  • Type: Book
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  • Published: 2005-11-24
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  • Publisher: Springer

This book constitutes the refereed proceedings of the 12th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2005, held in Montego Bay, Jamaica in December 2005. The 46 revised full papers presented together with abstracts of 3 invited talks were carefully reviewed and selected from 108 full paper submissions. The papers address all current issues in logic programming, logic-based program manipulation, formal method, automated reasoning, and various kinds of AI logics.

Certified Programs and Proofs
  • Language: en
  • Pages: 314

Certified Programs and Proofs

  • Type: Book
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  • Published: 2012-11-08
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  • Publisher: Springer

This book constitutes the refereed proceedings of the Second International Conference on Certified Programs and Proofs, CPP 2012, held in Kyoto, Japan, in December 2012. The 18 revised regular papers presented were carefully reviewed and selected from 37 submissions. They deal with those topics in computer science and mathematics in which certification via formal techniques is crucial.

Theorem Proving in Higher Order Logics
  • Language: en
  • Pages: 358

Theorem Proving in Higher Order Logics

Felty PuzzleTool:AnExampleofProgrammingComputationandDeduction . . 214 MichaelJ. C. Gordon AFormalApproachtoProbabilisticTermination. ... ... 230 JoeHurd UsingTheoremProvingforNumericalAnalysis. ... ... . 246 MicaelaMayero QuotientTypes:AModularApproach. ... ... ... 263 AlekseyNogin SequentSchemaforDerivedRules ... ... ... . 281 AlekseyNogin, JasonHickey AlgebraicStructuresandDependentRecords ... ... . 298 VirgilePrevosto, DamienDoligez, Thþ er` eseHardin ProvingtheEquivalenceofMicrostepandMacrostepSemantics. ... 314 KlausSchneider WeakestPreconditionforGeneralRecursiveProgramsFormalizedinCoq.

From Formal Semantics to Verified Slicing
  • Language: en
  • Pages: 226

From Formal Semantics to Verified Slicing

This book presents a modular framework for slicing in the proof assistant Isabelle/HOL which is based on abstract control flow graphs. Building on such abstract structures renders the correctness results language-independent. To prove that they hold for a specific language, it remains to instantiate the framework with this language, which requires a formal semantics of this language in Isabelle/HOL. We show that formal semantics even for sophisticated high-level languages are realizable.