Theorem Proving in Higher Order Logics
Theorem Proving in Higher Order Logics

Author: Victor A. Carreno

Publisher: Springer Science & Business Media

Published: 2002-08-07

Total Pages: 358

ISBN-13: 3540440399

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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.

Programming with Higher-Order Logic
Programming with Higher-Order Logic

Author: Dale Miller

Publisher: Cambridge University Press

Published: 2012-06-11

Total Pages: 321

ISBN-13: 052187940X

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A programming language based on a higher-order logic provides a declarative approach to capturing computations involving types, proofs and other syntactic structures.

Solving Higher-Order Equations
Solving Higher-Order Equations

Author: Christian Prehofer

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 193

ISBN-13: 1461217784

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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. The main assets of higher-order logic are quan tification over functions or predicates and its abstraction mechanism. These allow one to represent quantification in formulas and other variable-binding constructs. In this book, we focus on equational logic as a fundamental and natural concept in computer science and mathematics. We present calculi for equa tional reasoning modulo higher-order equations presented as rewrite rules. This is followed by a systematic development from general equational rea soning towards effective calculi for declarative programming in higher-order logic and A-calculus. This aims at integrating and generalizing declarative programming models such as functional and logic programming. In these two prominent declarative computation models we can view a program as a logical theory and a computation as a deduction.

Functional and Constraint Logic Programming
Functional and Constraint Logic Programming

Author: Santiago Escobar

Publisher: Springer Science & Business Media

Published: 2010-04

Total Pages: 187

ISBN-13: 3642119980

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This book constitutes the thoroughly refereed post-conference proceedings of the 18th International Workshop on Functional and Constraint Logic Programming, WFLP 2009, held in Brasilia, Brazil, in June 2009 as part of RDP 2009, the Federated Conference on Rewriting, Deduction, and Programming. The 9 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 14 initial workshop contributions. The papers cover current research in all areas of functional and constraint logic programming including typical areas of interest, such as foundational issues, language design, implementation, transformation and analysis, software engineering, integration of paradigms, and applications.

Unifying Theories of Programming
Unifying Theories of Programming

Author: Shengchao Qin

Publisher: Springer Science & Business Media

Published: 2010-10-21

Total Pages: 317

ISBN-13: 364216689X

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This book constitutes the refereed proceedings of the Third International Symposium on Unifying Theories of Programming, UTP 2010, held in Shanghai, China, in November 2010, in conjunction with the 12th International Conference on Formal Engineering Methods, ICFEM 2010. The 12 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 25 submissions. Based on the pioneering work on unifying theories of programming of Tony Hoare, He Jifeng, and others, the aims of this Symposium series are to continue to reaffirm the significance of the ongoing UTP project, to encourage efforts to advance it by providing a focus for the sharing of results by those already actively contributing, and to raise awareness of the benefits of such a unifying theoretical framework among the wider computer science and software engineering communities.

Automated Deduction – CADE 27
Automated Deduction – CADE 27

Author: Pascal Fontaine

Publisher: Springer Nature

Published: 2019-08-20

Total Pages: 603

ISBN-13: 3030294366

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This book constitutes the proceeding of the 27th International Conference on Automated Deduction, CADE 27, held in Natal, Brazil, in August 2019. The 27 full papers and 7 system descriptions presented were carefully reviewed and selected from 65 submissions. CADE is the major forum for the presentation of research in all aspects of automated deduction, including foundations, applications, implementations, and practical experience.

Rewriting Techniques and Applications
Rewriting Techniques and Applications

Author: Harald Ganzinger

Publisher: Springer Science & Business Media

Published: 1996-07

Total Pages: 456

ISBN-13: 9783540614647

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This book constitutes the refereed proceedings of the 7th International Conference on Rewriting Techniques and Applications, RTA-96, held in New Brunswick, NJ, USA, in July 1996. The 27 revised full papers presented in this volume were selected from a total of 84 submissions, also included are six system descriptions and abstracts of three invited papers. The topics covered include analysis of term rewriting systems, string and graph rewriting, rewrite-based theorem proving, conditional term rewriting, higher-order rewriting, unification, symbolic and algebraic computation, and efficient implementation of rewriting on sequential and parallel machines.

Automated Reasoning
Automated Reasoning

Author: Didier Galmiche

Publisher: Springer

Published: 2018-07-06

Total Pages: 740

ISBN-13: 3319942050

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This book constitutes the refereed proceedings of the 9th International Joint Conference on Automated Reasoning, IJCAR 2018, held in Oxford, United Kingdom, in July 2018, as part of the Federated Logic Conference, FLoC 2018. In 2018, IJCAR unites CADE, TABLEAUX, and FroCoS, the International Symposium on Frontiers of Combining Systems, and, for the fourth time, is part of the Federated Logic Conference. The 38 revised full research papers and 8 system descriptions presented together with two invited talks were carefully reviewed and selected from 108 submissions. The papers focus on topics such as logics, deductive systems, proof-search methods, theorem proving, model checking, verification, formal methods, and program analysis.

Discontinuous Syntax
Discontinuous Syntax

Author: Andrew M. Devine

Publisher: Oxford University Press, USA

Published: 2000

Total Pages: 374

ISBN-13: 9780195132700

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The interface between syntax and meaning, both semantic and pragmatic, has emerged as an area of linguistics theory. This study applies some of these ideas to hyperbaton, offering a new theory with broad applications for our understanding of Greek syntax.