Abstraction-driven verification of array programs
Identifieur interne :
000616 ( PascalFrancis/Corpus );
précédent :
000615;
suivant :
000617
Abstraction-driven verification of array programs
Auteurs : David Deharbe ;
Abdessamad Imine ;
Silvio RaniseSource :
-
Lecture notes in computer science [ 0302-9743 ] ; 2004.
RBID : Pascal:04-0542416
Descripteurs français
- Pascal (Inist)
- Calcul symbolique,
Intelligence artificielle,
Vérification programme,
Démonstration théorème,
Théorie preuve,
Théorie équationnelle,
Abstraction,
Satisfaisabilité,
Quantificateur,
Exactitude programme,
Programme contrôle,
Viabilité,
Arithmétique Presburger.
English descriptors
- KwdEn :
- Abstraction,
Artificial intelligence,
Checking program,
Equational theory,
Presburger arithmetic,
Program correctness,
Program verification,
Proof theory,
Quantifier,
Satisfiability,
Symbolic computation,
Theorem proving,
Viability.
Abstract
We describe a refutation-based theorem proving algorithm capable of checking the satisfiability of non-ground formulae modulo (a combination of) theories. The key idea is the use of abstraction to drive the application of (i) ground satisfiability checking modulo theories axiomatized by equational clauses, (ii) Presburger arithmetic, and (iii) quantifier instantiation. A prototype implementation is used to discharge the proof obligations necessary to show the correctness of some typical programs manipulating arrays. On these benchmarks, the prototype automatically discharge more proof obligations than Simplify - the prover of reference for program checking - thereby confirming the viability of our approach.
Notice en format standard (ISO 2709)
Pour connaître la documentation sur le format Inist Standard.
pA |
A01 | 01 | 1 | | @0 0302-9743 |
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A05 | | | | @2 3249 |
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A08 | 01 | 1 | ENG | @1 Abstraction-driven verification of array programs |
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A09 | 01 | 1 | ENG | @1 AISC 2004 : artificial intelligence and symbolic computation : Linz, 22-24 September 2004 |
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A11 | 01 | 1 | | @1 DEHARBE (David) |
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A11 | 02 | 1 | | @1 IMINE (Abdessamad) |
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A11 | 03 | 1 | | @1 RANISE (Silvio) |
---|
A12 | 01 | 1 | | @1 BUCHBERGER (Bruno) @9 ed. |
---|
A12 | 02 | 1 | | @1 CAMPBELL (John A.) @9 ed. |
---|
A14 | 01 | | | @1 UFRN/DIMAp @2 Natal @3 BRA @Z 1 aut. |
---|
A14 | 02 | | | @1 LORIA & INRIA-Lorraine @2 Nancy @3 FRA @Z 2 aut. @Z 3 aut. |
---|
A20 | | | | @1 271-275 |
---|
A21 | | | | @1 2004 |
---|
A23 | 01 | | | @0 ENG |
---|
A26 | 01 | | | @0 3-540-23212-5 |
---|
A43 | 01 | | | @1 INIST @2 16343 @5 354000124355830230 |
---|
A44 | | | | @0 0000 @1 © 2004 INIST-CNRS. All rights reserved. |
---|
A45 | | | | @0 12 ref. |
---|
A47 | 01 | 1 | | @0 04-0542416 |
---|
A60 | | | | @1 P @2 C |
---|
A61 | | | | @0 A |
---|
A64 | 01 | 1 | | @0 Lecture notes in computer science |
---|
A66 | 01 | | | @0 DEU |
---|
C01 | 01 | | ENG | @0 We describe a refutation-based theorem proving algorithm capable of checking the satisfiability of non-ground formulae modulo (a combination of) theories. The key idea is the use of abstraction to drive the application of (i) ground satisfiability checking modulo theories axiomatized by equational clauses, (ii) Presburger arithmetic, and (iii) quantifier instantiation. A prototype implementation is used to discharge the proof obligations necessary to show the correctness of some typical programs manipulating arrays. On these benchmarks, the prototype automatically discharge more proof obligations than Simplify - the prover of reference for program checking - thereby confirming the viability of our approach. |
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C02 | 01 | X | | @0 001D02C02 |
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C02 | 02 | X | | @0 001D02A05 |
---|
C03 | 01 | X | FRE | @0 Calcul symbolique @5 01 |
---|
C03 | 01 | X | ENG | @0 Symbolic computation @5 01 |
---|
C03 | 01 | X | SPA | @0 Cálculo simbólico @5 01 |
---|
C03 | 02 | X | FRE | @0 Intelligence artificielle @5 02 |
---|
C03 | 02 | X | ENG | @0 Artificial intelligence @5 02 |
---|
C03 | 02 | X | SPA | @0 Inteligencia artificial @5 02 |
---|
C03 | 03 | X | FRE | @0 Vérification programme @5 06 |
---|
C03 | 03 | X | ENG | @0 Program verification @5 06 |
---|
C03 | 03 | X | SPA | @0 Verificación programa @5 06 |
---|
C03 | 04 | X | FRE | @0 Démonstration théorème @5 07 |
---|
C03 | 04 | X | ENG | @0 Theorem proving @5 07 |
---|
C03 | 04 | X | SPA | @0 Demostración teorema @5 07 |
---|
C03 | 05 | X | FRE | @0 Théorie preuve @5 08 |
---|
C03 | 05 | X | ENG | @0 Proof theory @5 08 |
---|
C03 | 05 | X | SPA | @0 Teoría demonstración @5 08 |
---|
C03 | 06 | X | FRE | @0 Théorie équationnelle @5 09 |
---|
C03 | 06 | X | ENG | @0 Equational theory @5 09 |
---|
C03 | 06 | X | SPA | @0 Teoría ecuaciónal @5 09 |
---|
C03 | 07 | X | FRE | @0 Abstraction @5 18 |
---|
C03 | 07 | X | ENG | @0 Abstraction @5 18 |
---|
C03 | 07 | X | SPA | @0 Abstracción @5 18 |
---|
C03 | 08 | X | FRE | @0 Satisfaisabilité @5 19 |
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C03 | 08 | X | ENG | @0 Satisfiability @5 19 |
---|
C03 | 08 | X | SPA | @0 Satisfactoriabilidad @5 19 |
---|
C03 | 09 | X | FRE | @0 Quantificateur @5 20 |
---|
C03 | 09 | X | ENG | @0 Quantifier @5 20 |
---|
C03 | 09 | X | SPA | @0 Cuantificador @5 20 |
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C03 | 10 | X | FRE | @0 Exactitude programme @5 21 |
---|
C03 | 10 | X | ENG | @0 Program correctness @5 21 |
---|
C03 | 10 | X | SPA | @0 Exactitud programa @5 21 |
---|
C03 | 11 | X | FRE | @0 Programme contrôle @5 22 |
---|
C03 | 11 | X | ENG | @0 Checking program @5 22 |
---|
C03 | 11 | X | SPA | @0 Programa control @5 22 |
---|
C03 | 12 | X | FRE | @0 Viabilité @5 23 |
---|
C03 | 12 | X | ENG | @0 Viability @5 23 |
---|
C03 | 12 | X | SPA | @0 Viabilidad @5 23 |
---|
C03 | 13 | X | FRE | @0 Arithmétique Presburger @4 CD @5 96 |
---|
C03 | 13 | X | ENG | @0 Presburger arithmetic @4 CD @5 96 |
---|
C03 | 13 | X | SPA | @0 Aritmético Presburger @4 CD @5 96 |
---|
N21 | | | | @1 306 |
---|
N44 | 01 | | | @1 OTO |
---|
N82 | | | | @1 OTO |
---|
|
pR |
A30 | 01 | 1 | ENG | @1 International conference on artificial intelligence and symbolic computation @2 7 @3 Linz AUT @4 2004-09-22 |
---|
|
Format Inist (serveur)
NO : | PASCAL 04-0542416 INIST |
ET : | Abstraction-driven verification of array programs |
AU : | DEHARBE (David); IMINE (Abdessamad); RANISE (Silvio); BUCHBERGER (Bruno); CAMPBELL (John A.) |
AF : | UFRN/DIMAp/Natal/Brésil (1 aut.); LORIA & INRIA-Lorraine/Nancy/France (2 aut., 3 aut.) |
DT : | Publication en série; Congrès; Niveau analytique |
SO : | Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 2004; Vol. 3249; Pp. 271-275; Bibl. 12 ref. |
LA : | Anglais |
EA : | We describe a refutation-based theorem proving algorithm capable of checking the satisfiability of non-ground formulae modulo (a combination of) theories. The key idea is the use of abstraction to drive the application of (i) ground satisfiability checking modulo theories axiomatized by equational clauses, (ii) Presburger arithmetic, and (iii) quantifier instantiation. A prototype implementation is used to discharge the proof obligations necessary to show the correctness of some typical programs manipulating arrays. On these benchmarks, the prototype automatically discharge more proof obligations than Simplify - the prover of reference for program checking - thereby confirming the viability of our approach. |
CC : | 001D02C02; 001D02A05 |
FD : | Calcul symbolique; Intelligence artificielle; Vérification programme; Démonstration théorème; Théorie preuve; Théorie équationnelle; Abstraction; Satisfaisabilité; Quantificateur; Exactitude programme; Programme contrôle; Viabilité; Arithmétique Presburger |
ED : | Symbolic computation; Artificial intelligence; Program verification; Theorem proving; Proof theory; Equational theory; Abstraction; Satisfiability; Quantifier; Program correctness; Checking program; Viability; Presburger arithmetic |
SD : | Cálculo simbólico; Inteligencia artificial; Verificación programa; Demostración teorema; Teoría demonstración; Teoría ecuaciónal; Abstracción; Satisfactoriabilidad; Cuantificador; Exactitud programa; Programa control; Viabilidad; Aritmético Presburger |
LO : | INIST-16343.354000124355830230 |
ID : | 04-0542416 |
Links to Exploration step
Pascal:04-0542416
Le document en format XML
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<front><div type="abstract" xml:lang="en">We describe a refutation-based theorem proving algorithm capable of checking the satisfiability of non-ground formulae modulo (a combination of) theories. The key idea is the use of abstraction to drive the application of (i) ground satisfiability checking modulo theories axiomatized by equational clauses, (ii) Presburger arithmetic, and (iii) quantifier instantiation. A prototype implementation is used to discharge the proof obligations necessary to show the correctness of some typical programs manipulating arrays. On these benchmarks, the prototype automatically discharge more proof obligations than Simplify - the prover of reference for program checking - thereby confirming the viability of our approach.</div>
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<s5>06</s5>
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<s5>07</s5>
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<s5>07</s5>
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<s5>07</s5>
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<s5>09</s5>
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<s5>09</s5>
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<s5>09</s5>
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<s5>18</s5>
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<s4>CD</s4>
<s5>96</s5>
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<fC03 i1="13" i2="X" l="ENG"><s0>Presburger arithmetic</s0>
<s4>CD</s4>
<s5>96</s5>
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<fC03 i1="13" i2="X" l="SPA"><s0>Aritmético Presburger</s0>
<s4>CD</s4>
<s5>96</s5>
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<server><NO>PASCAL 04-0542416 INIST</NO>
<ET>Abstraction-driven verification of array programs</ET>
<AU>DEHARBE (David); IMINE (Abdessamad); RANISE (Silvio); BUCHBERGER (Bruno); CAMPBELL (John A.)</AU>
<AF>UFRN/DIMAp/Natal/Brésil (1 aut.); LORIA & INRIA-Lorraine/Nancy/France (2 aut., 3 aut.)</AF>
<DT>Publication en série; Congrès; Niveau analytique</DT>
<SO>Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 2004; Vol. 3249; Pp. 271-275; Bibl. 12 ref.</SO>
<LA>Anglais</LA>
<EA>We describe a refutation-based theorem proving algorithm capable of checking the satisfiability of non-ground formulae modulo (a combination of) theories. The key idea is the use of abstraction to drive the application of (i) ground satisfiability checking modulo theories axiomatized by equational clauses, (ii) Presburger arithmetic, and (iii) quantifier instantiation. A prototype implementation is used to discharge the proof obligations necessary to show the correctness of some typical programs manipulating arrays. On these benchmarks, the prototype automatically discharge more proof obligations than Simplify - the prover of reference for program checking - thereby confirming the viability of our approach.</EA>
<CC>001D02C02; 001D02A05</CC>
<FD>Calcul symbolique; Intelligence artificielle; Vérification programme; Démonstration théorème; Théorie preuve; Théorie équationnelle; Abstraction; Satisfaisabilité; Quantificateur; Exactitude programme; Programme contrôle; Viabilité; Arithmétique Presburger</FD>
<ED>Symbolic computation; Artificial intelligence; Program verification; Theorem proving; Proof theory; Equational theory; Abstraction; Satisfiability; Quantifier; Program correctness; Checking program; Viability; Presburger arithmetic</ED>
<SD>Cálculo simbólico; Inteligencia artificial; Verificación programa; Demostración teorema; Teoría demonstración; Teoría ecuaciónal; Abstracción; Satisfactoriabilidad; Cuantificador; Exactitud programa; Programa control; Viabilidad; Aritmético Presburger</SD>
<LO>INIST-16343.354000124355830230</LO>
<ID>04-0542416</ID>
</server>
</inist>
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