Verified Functional Programming In Agda

Author: Aaron Stump
Publisher: Morgan & Claypool
ISBN: 1970001267
Size: 52.84 MB
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More advanced material on type-level computation, explicit reasoning about termination, and normalization by evaluation is also included. The book also includes a medium-sized case study on Huffman encoding and decoding.

Programming Languages

Author: Fernando Magno Quintao Pereira
Publisher: Springer
ISBN: 3319118633
Size: 18.91 MB
Format: PDF, Docs
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This extra proof is necessary because it is impossible in general to automatically
prove that a given executable code satisfies an arbitrary specification. It can be
said that dependent type systems turn, at least in principle, programming into fully
formalized mathematics. Actu- ally, the languages arisen from this trend are
functional programming languages, for example Agda [Nor07], Coq [Coq09] or
Idris [Bra13], derived in general from (constructive) type theory, a system of logic
intended ...

Theoretical Aspects Of Computing Ictac 2012

Author: Abhik Roychoudhury
Publisher: Springer
ISBN: 3642329438
Size: 10.64 MB
Format: PDF, ePub
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Verification and propagation of these constraints is handled by type inference,
which can be enhanced by customised decision procedures or external solvers if
needed. The approach thus supports the development of software models that ...
Agda is a functional programming language similar to Haskell but with a much
more powerful type system in which intuitionistic higher-order logic can be used
for expressing type constraints. Since, in this context, type inference is
undecidable,.

Haskell

Author:
Publisher:
ISBN: 9781595930712
Size: 46.66 MB
Format: PDF
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Haskell programs are translated into an Agda model of their semantics, by
translating via GHC's Core language into a monadic form specially adapted to
represent Haskell's polymorphism in Agda's predicative type system. ...
Categories and Subject Descriptors D.l.l [Programming Techniques]: Applicative (
Functional) Programming; D.2.4 [Software Engineering]: Software/Program
Verification — Correctness proofs; F.3.1 [Logics and Meanings of Programs]:
Specifying and Verifying ...

Fm 2014 Formal Methods

Author: Cliff Jones
Publisher: Springer
ISBN: 331906410X
Size: 26.63 MB
Format: PDF, ePub, Mobi
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This paper shows that an SMT-based program verifier can support reasoning
about co-induction—handling infinite data structures, lazy function calls, and user
-defined properties defined as greatest fix-points, as well as letting users write co-
inductive ... Coinduction, too, is important in programming and program
verification, where it arises in data definitions (e.g., lazy data structures [34]),
semantics (e.g., concurrency [32]), and proofs (e.g., showing refinement in a co-
inductive big-step ...

Types For Proofs And Programs

Author: Jean-Christophe Filliatre
Publisher: Springer Science & Business Media
ISBN: 9783540314288
Size: 69.32 MB
Format: PDF, Docs
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The 17 revised full papers presented here cover all current issues of formal reasoning and computer programming based on type theory are addressed; in particular languages and computerised tools for reasoning, and applications in several ...

Functional And Logic Programming

Author: Masami Hagiya
Publisher: Springer
ISBN:
Size: 58.33 MB
Format: PDF, Mobi
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The main motivation for all these systems, apart from the satisfaction of bringing
mathematical objects "into life", is that the non-imaginative mechanical
verification of a proof rules out the possibility of errors to a much higher degree
than the relying on ... 1.3 Conversion Rule The logical formalisms underlying
systems like NuPRL, Agda, Alf, Lego, PVS or Coq have an important feature in
common. First, the language of objects of these formalisms includes a
programming language.

Types For Proofs And Programs

Author: Thierry Coquand
Publisher: Springer
ISBN:
Size: 71.51 MB
Format: PDF, ePub, Mobi
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This enables the construction of a wellfounded ordering on the function symbols
which, in addition to the lexicographic ordering on the arguments, serves as a
component of the termination ordering required to run through the soundness
proof. Work on the details is in progress. ... Submitted to the Journal of Functional
Programming, December 1999. [Abe98] Andreas Abel, foetus ... J. P. Jouannaud
and M. Okada. Abstract data type Specification and Verification of a Formal
System 19.

Mathematics Of Program Construction

Author: Philippe Audebaud
Publisher: Springer Science & Business Media
ISBN: 3540705937
Size: 40.66 MB
Format: PDF, Docs
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This volume contains 18 papers selected for presentation by the Program Committee from 41 submissions, 1 invited paper which was reviewed as well, and the abstracts for two invited talks.