Algebraic Approaches To Program Semantics
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Algebraic Approaches To Program Semantics
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Author : Ernest G. Manes
language : en
Publisher:
Release Date : 1986-01-01
Algebraic Approaches To Program Semantics written by Ernest G. Manes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Algebra categories.
Algebraic Approaches To Program Semantics
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Author : Ernest G. Manes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algebraic Approaches To Program Semantics written by Ernest G. Manes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
In the 1930s, mathematical logicians studied the notion of "effective comput ability" using such notions as recursive functions, A-calculus, and Turing machines. The 1940s saw the construction of the first electronic computers, and the next 20 years saw the evolution of higher-level programming languages in which programs could be written in a convenient fashion independent (thanks to compilers and interpreters) of the architecture of any specific machine. The development of such languages led in turn to the general analysis of questions of syntax, structuring strings of symbols which could count as legal programs, and semantics, determining the "meaning" of a program, for example, as the function it computes in transforming input data to output results. An important approach to semantics, pioneered by Floyd, Hoare, and Wirth, is called assertion semantics: given a specification of which assertions (preconditions) on input data should guarantee that the results satisfy desired assertions (postconditions) on output data, one seeks a logical proof that the program satisfies its specification. An alternative approach, pioneered by Scott and Strachey, is called denotational semantics: it offers algebraic techniques for characterizing the denotation of (i. e. , the function computed by) a program-the properties of the program can then be checked by direct comparison of the denotation with the specification. This book is an introduction to denotational semantics. More specifically, we introduce the reader to two approaches to denotational semantics: the order semantics of Scott and Strachey and our own partially additive semantics.
Algebraic Approaches To Program Semantics
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Author : Ernest Gene Manes
language : it
Publisher:
Release Date : 1986
Algebraic Approaches To Program Semantics written by Ernest Gene Manes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Algebraic Methods In Semantics
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Author : M. Nivat
language : en
Publisher: CUP Archive
Release Date : 1985
Algebraic Methods In Semantics written by M. Nivat and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Computers categories.
This book, which contains contributions from leading researchers in France, USA and Great Britain, gives detailed accounts of a variety of methods for describing the semantics of programming languages, i.e. for attaching to programs mathematical objects that encompass their meaning. Consideration is given to both denotational semantics, where the meaning of a program is regarded as a function from inputs to outputs, and operational semantics, where the meaning includes the sequence of states or terms generated internally during the computation. The major problems considered include equivalence relations between operational and denotational semantics, rules for obtaining optimal computations (especially for nondeterministic programs), equivalence of programs, meaning-preserving transformations of programs and program proving by assertions. Such problems are discussed for a variety of programming languages and formalisms, and a wealth of mathematical tools is described.
An Algebraic Approach To Compiler Design
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Author : Augusto Sampaio
language : en
Publisher: World Scientific
Release Date : 1997
An Algebraic Approach To Compiler Design written by Augusto Sampaio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
This book investigates the design of compilers for procedural languages, based on the algebraic laws which these languages satisfy. The particular strategy adopted is to reduce an arbitrary source program to a general normal form, capable of representing an arbitrary target machine. This is achieved by a series of normal form reduction theorems which are proved algebraically from the more basic laws. The normal form and the related reduction theorems can then be instantiated to design compilers for distinct target machines. This constitutes the main novelty of the author's approach to compilation, together with the fact that the entire process is formalised within a single and uniform semantic framework of a procedural language and its algberaic laws. Furthermore, by mechanising the approach using the OBJ3 term rewriting system it is shown that a prototype compiler is developed as a byproduct of its own proof of correctness.
Mathematical Foundations Of Programming Semantics
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Author : Stephen Brookes
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-05-20
Mathematical Foundations Of Programming Semantics written by Stephen Brookes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-20 with Computers categories.
This volume is the proceedings of the Ninth International Conference on the Mathematical Foundations of Programming Semantics, held in New Orleans in April 1993. The focus of the conference series is the semantics of programming languages and the mathematics which supports the study of the semantics. The semantics is basically denotation. The mathematics may be classified as category theory, lattice theory, or logic. Recent conferences and workshops have increasingly emphasized applications of the semantics and mathematics. The study of the semantics develops with the mathematics and the mathematics is inspired by the applications in semantics. The volume presents current research in denotational semantics and applications of category theory, logic, and lattice theory to semantics.
Algebraic Approach To Program Semantics
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Author : Ernest G. Manes
language : en
Publisher:
Release Date : 1986
Algebraic Approach To Program Semantics written by Ernest G. Manes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Relational And Algebraic Methods In Computer Science
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Author : Jules Desharnais
language : en
Publisher: Springer
Release Date : 2018-10-22
Relational And Algebraic Methods In Computer Science written by Jules Desharnais and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-22 with Mathematics categories.
This book constitutes the proceedings of the 17th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2018, held in Groningen, The Netherlands, in October/November 2018. The 21 full papers and 1 invited paper presented together with 2 invited abstracts and 1 abstract of a tutorial were carefully selected from 31 submissions. The papers are organized in the following topics: Theoretical foundations; reasoning about computations and programs; and applications and tools.
The Formal Semantics Of Programming Languages
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Author : Glynn Winskel
language : en
Publisher: MIT Press
Release Date : 1993-02-05
The Formal Semantics Of Programming Languages written by Glynn Winskel and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-05 with Computers categories.
The Formal Semantics of Programming Languages provides the basic mathematical techniques necessary for those who are beginning a study of the semantics and logics of programming languages. These techniques will allow students to invent, formalize, and justify rules with which to reason about a variety of programming languages. Although the treatment is elementary, several of the topics covered are drawn from recent research, including the vital area of concurency. The book contains many exercises ranging from simple to miniprojects.Starting with basic set theory, structural operational semantics is introduced as a way to define the meaning of programming languages along with associated proof techniques. Denotational and axiomatic semantics are illustrated on a simple language of while-programs, and fall proofs are given of the equivalence of the operational and denotational semantics and soundness and relative completeness of the axiomatic semantics. A proof of Godel's incompleteness theorem, which emphasizes the impossibility of achieving a fully complete axiomatic semantics, is included. It is supported by an appendix providing an introduction to the theory of computability based on while-programs. Following a presentation of domain theory, the semantics and methods of proof for several functional languages are treated. The simplest language is that of recursion equations with both call-by-value and call-by-name evaluation. This work is extended to lan guages with higher and recursive types, including a treatment of the eager and lazy lambda-calculi. Throughout, the relationship between denotational and operational semantics is stressed, and the proofs of the correspondence between the operation and denotational semantics are provided. The treatment of recursive types - one of the more advanced parts of the book - relies on the use of information systems to represent domains. The book concludes with a chapter on parallel programming languages, accompanied by a discussion of methods for specifying and verifying nondeterministic and parallel programs.
Relational And Algebraic Methods In Computer Science
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Author : Harrie de Swart
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-20
Relational And Algebraic Methods In Computer Science written by Harrie de Swart and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-20 with Computers categories.
This book constitutes the proceedings of the 12 International Conference on Relational and Algebraic Methods in Computer Science, RAMICS 2011, held in Rotterdam, The Netherlands, in May/June 2011. This conference merges the RelMICS (Relational Methods in Computer Science) and AKA (Applications of Kleene Algebra) conferences, which have been a main forum for researchers who use the calculus of relations and similar algebraic formalisms as methodological and conceptual tools. Relational and algebraic methods and software tools turn out to be useful for solving problems in social choice and game theory. For that reason this conference included a special track on Computational Social Choice and Social Software. The 18 papers included were carefully reviewed and selected from 27 submissions. In addition the volume contains 2 invited tutorials and 5 invited talks.