A Formalization of the Semantics of Functional-Logic Programming in Isabelle
Identifieur interne : 003439 ( Main/Exploration ); précédent : 003438; suivant : 003440A Formalization of the Semantics of Functional-Logic Programming in Isabelle
Auteurs : Francisco L Pez Fraguas [Espagne] ; Stephan Merz [France] ; Juan Rodríguez Hortalá [Espagne]Source :
English descriptors
Abstract
Modern functional-logic programming languages like Toy or Curry feature non-strict non-deterministic functions that behave under call-time choice semantics. A standard formulation for this semantics is the CRWL logic, that specifies a proof calculus for computing the set of possible results for each expression. In this paper we present a formalization of that calculus in the Isabelle/HOL proof assistant. We have proved some basic properties of CRWL: closedness under c-substitutions, polarity and compositionality. We also discuss some insights that have been gained, such as the fact that left linearity of program rules is not needed for any of these results to hold.
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Affiliations:
- Espagne, France
- Communauté de Madrid, Grand Est, Lorraine (région)
- Madrid, Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université complutense de Madrid, Université de Lorraine
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programming</term><term>higher-order logic</term><term>theorem proving</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Modern functional-logic programming languages like Toy or Curry feature non-strict non-deterministic functions that behave under call-time choice semantics. A standard formulation for this semantics is the CRWL logic, that specifies a proof calculus for computing the set of possible results for each expression. In this paper we present a formalization of that calculus in the Isabelle/HOL proof assistant. We have proved some basic properties of CRWL: closedness under c-substitutions, polarity and compositionality. We also discuss some insights that have been gained, such as the fact that left linearity of program rules is not needed for any of these results to hold.</div></front></TEI><affiliations><list><country><li>Espagne</li><li>France</li></country><region><li>Communauté de Madrid</li><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Madrid</li><li>Nancy</li></settlement><orgName><li>Institut national polytechnique de Lorraine</li><li>Université Nancy 2</li><li>Université complutense de Madrid</li><li>Université de Lorraine</li></orgName></list><tree><country name="Espagne"><region name="Communauté de Madrid"><name sortKey="L Pez Fraguas, Francisco" sort="L Pez Fraguas, Francisco" uniqKey="L Pez Fraguas F" first="Francisco" last="L Pez Fraguas">Francisco L Pez Fraguas</name></region><name sortKey="Rodriguez Hortala, Juan" sort="Rodriguez Hortala, Juan" uniqKey="Rodriguez Hortala J" first="Juan" last="Rodríguez Hortalá">Juan Rodríguez Hortalá</name></country><country name="France"><region name="Grand Est"><name sortKey="Merz, Stephan" sort="Merz, Stephan" uniqKey="Merz S" first="Stephan" last="Merz">Stephan Merz</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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