Towards a Formalisation of Relational Database Theory in Constructive Type Theory

Carlos Gonzalia

doi:10.1007/978-3-540-24771-5_12

Towards a Formalisation of Relational Database Theory in Constructive Type Theory

Carlos Gonzalia

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

5 Citations (Scopus)

Abstract

We offer here an overview of several initial attempts of formalisation of relational database theory in a constructive, type-theoretic, framework. Each successive formalisation is of more generality, and correspondingly more complex, than the previous one. All our work is carried out in the proof editor Alfa for Martin-Löf's monomorphic type theory. Our goal is to obtain a formalisation that provides us with computational content, instead of just being a completely abstract theory.

Original language	English
Title of host publication	Relational and Kleene-Algebraic Methods in Computer Science
Editors	R. Berghammer, B. Maller, G. Struth
Place of Publication	Berlin ; Heidelberg, Germany
Publisher	Springer, Springer Nature
Pages	137-148
Number of pages	12
Volume	3051
ISBN (Print)	9783540221456
DOIs	https://doi.org/10.1007/978-3-540-24771-5_12
Publication status	Published - 2004
Externally published	Yes
Event	7th International Seminar on Relational Methods in Computer Science and 2nd International Workshop on Applications of Kleene Algebra - Bad Malente, Germany Duration: 12 May 2003 → 17 May 2003

Workshop

Workshop	7th International Seminar on Relational Methods in Computer Science and 2nd International Workshop on Applications of Kleene Algebra
City	Bad Malente, Germany
Period	12/05/03 → 17/05/03

Keywords

type theory
relational database model
computer formalization of proofs
logical frameworks

Access to Document

10.1007/978-3-540-24771-5_12

Cite this

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abstract = "We offer here an overview of several initial attempts of formalisation of relational database theory in a constructive, type-theoretic, framework. Each successive formalisation is of more generality, and correspondingly more complex, than the previous one. All our work is carried out in the proof editor Alfa for Martin-L{\"o}f's monomorphic type theory. Our goal is to obtain a formalisation that provides us with computational content, instead of just being a completely abstract theory.",

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Gonzalia, C 2004, Towards a Formalisation of Relational Database Theory in Constructive Type Theory. in R Berghammer, B Maller & G Struth (eds), Relational and Kleene-Algebraic Methods in Computer Science. vol. 3051, Springer, Springer Nature, Berlin ; Heidelberg, Germany, pp. 137-148, 7th International Seminar on Relational Methods in Computer Science and 2nd International Workshop on Applications of Kleene Algebra, Bad Malente, Germany, 12/05/03. https://doi.org/10.1007/978-3-540-24771-5_12

Towards a Formalisation of Relational Database Theory in Constructive Type Theory. / Gonzalia, Carlos.
Relational and Kleene-Algebraic Methods in Computer Science. ed. / R. Berghammer; B. Maller; G. Struth. Vol. 3051 Berlin ; Heidelberg, Germany: Springer, Springer Nature, 2004. p. 137-148.

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

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AB - We offer here an overview of several initial attempts of formalisation of relational database theory in a constructive, type-theoretic, framework. Each successive formalisation is of more generality, and correspondingly more complex, than the previous one. All our work is carried out in the proof editor Alfa for Martin-Löf's monomorphic type theory. Our goal is to obtain a formalisation that provides us with computational content, instead of just being a completely abstract theory.

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KW - relational database model

KW - computer formalization of proofs

KW - logical frameworks

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DO - 10.1007/978-3-540-24771-5_12

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SN - 9783540221456

VL - 3051

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EP - 148

BT - Relational and Kleene-Algebraic Methods in Computer Science

A2 - Berghammer, R.

A2 - Maller, B.

A2 - Struth, G.

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Y2 - 12 May 2003 through 17 May 2003

ER -

Towards a Formalisation of Relational Database Theory in Constructive Type Theory

Abstract

Workshop

Keywords

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