Constraint-Lambda Calculi

Matthias Holzl; John N Crossley

doi:10.1007/3-540-45988-X_17

Constraint-Lambda Calculi

Matthias Holzl, John N Crossley

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

2 Citations (Scopus)

Abstract

We introduce two forms of calculi that integrate constraint solving with functional programming. These are the Unrestricted, and the Restricted, Constraint-Lambda Calculi. Unlike previous attempts at combining constraint solving with lambda calculus, these are conservative extensions of traditional lambda calculi in terms of both term reduction and their denotational semantics. We establish a limited form of confluence for the unrestricted calculus and full confluence for the restricted one.

Original language	English
Title of host publication	Frontiers of Combining Systems
Subtitle of host publication	4th International Workshop, FroCoS 2002 Santa Margherita Ligure, Italy, April 8-10, 2002 Proceedings
Editors	Alessandro Armando
Place of Publication	Berlin Germany
Publisher	Springer
Pages	207-222
Number of pages	16
ISBN (Print)	3540433813
DOIs	https://doi.org/10.1007/3-540-45988-X_17
Publication status	Published - 2002
Event	International Workshop on Frontiers of Combining Systems 2002 - Santa Margherita Ligure, Italy Duration: 8 Apr 2002 → 10 Apr 2002 Conference number: 4th https://link.springer.com/book/10.1007/3-540-45988-X (Proceedings)

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer
Volume	2309
ISSN (Print)	0302-9743

Conference

Conference	International Workshop on Frontiers of Combining Systems 2002
Abbreviated title	FroCoS 2002
Country/Territory	Italy
City	Santa Margherita Ligure
Period	8/04/02 → 10/04/02
Internet address	https://link.springer.com/book/10.1007/3-540-45988-X (Proceedings)

Access to Document

10.1007/3-540-45988-X_17

Cite this

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title = "Constraint-Lambda Calculi",

abstract = "We introduce two forms of calculi that integrate constraint solving with functional programming. These are the Unrestricted, and the Restricted, Constraint-Lambda Calculi. Unlike previous attempts at combining constraint solving with lambda calculus, these are conservative extensions of traditional lambda calculi in terms of both term reduction and their denotational semantics. We establish a limited form of confluence for the unrestricted calculus and full confluence for the restricted one.",

author = "Matthias Holzl and Crossley, {John N}",

year = "2002",

doi = "10.1007/3-540-45988-X_17",

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publisher = "Springer",

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editor = "Alessandro Armando",

booktitle = "Frontiers of Combining Systems",

address = "Switzerland",

note = "International Workshop on Frontiers of Combining Systems 2002, FroCoS 2002 ; Conference date: 08-04-2002 Through 10-04-2002",

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Holzl, M & Crossley, JN 2002, Constraint-Lambda Calculi. in A Armando (ed.), Frontiers of Combining Systems: 4th International Workshop, FroCoS 2002 Santa Margherita Ligure, Italy, April 8-10, 2002 Proceedings. Lecture Notes in Computer Science, vol. 2309, Springer, Berlin Germany, pp. 207-222, International Workshop on Frontiers of Combining Systems 2002, Santa Margherita Ligure, Italy, 8/04/02. https://doi.org/10.1007/3-540-45988-X_17

Constraint-Lambda Calculi. / Holzl, Matthias; Crossley, John N.
Frontiers of Combining Systems: 4th International Workshop, FroCoS 2002 Santa Margherita Ligure, Italy, April 8-10, 2002 Proceedings. ed. / Alessandro Armando. Berlin Germany: Springer, 2002. p. 207-222 (Lecture Notes in Computer Science; Vol. 2309).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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