Sökning: id:"swepub:oai:research.chalmers.se:ce4d4c0d-e451-4380-91e5-bec816f8b33a" >
Extensional crisis ...
Extensional crisis and proving identity
-
- Gupta, A. (författare)
- Institute of Science and Technology Austria
-
- Kovacs, Laura, 1980 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
-
- Kragl, B. (författare)
- Institute of Science and Technology Austria,Technische Universität Wien,Vienna University of Technology
-
visa fler...
-
- Voronkov, A. (författare)
- University of Manchester
-
visa färre...
-
(creator_code:org_t)
- ISBN 9783319119359
- Cham : Springer International Publishing, 2014
- 2014
- Engelska.
-
Ingår i: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). - Cham : Springer International Publishing. - 1611-3349 .- 0302-9743. - 9783319119359 ; 8837, s. 185-200
- Relaterad länk:
-
http://dx.doi.org/10...
-
visa fler...
-
https://research.cha...
-
https://doi.org/10.1...
-
visa färre...
Innehållsförteckning
Abstract
Ämnesord
Stäng
No table of content available
- Extensionality axioms are common when reasoning about data collections, such as arrays and functions in program analysis, or sets in mathematics. An extensionality axiom asserts that two collections are equal if they consist of the same elements at the same indices. Using extensionality is often required to show that two collections are equal. A typical example is the set theory theorem (∀x)(∀y)x∪y = y ∪x. Interestingly, while humans have no problem with proving such set identities using extensionality, they are very hard for superposition theorem provers because of the calculi they use. In this paper we show how addition of a new inference rule, called extensionality resolution, allows first-order theorem provers to easily solve problems no modern first-order theorem prover can solve. We illustrate this by running the VAMPIRE theorem prover with extensionality resolution on a number of set theory and array problems. Extensionality resolution helps VAMPIRE to solve problems from the TPTP library of first-order problems that were never solved before by any prover.
Ämnesord
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Publikations- och innehållstyp
- kon (ämneskategori)
- ref (ämneskategori)
Hitta via bibliotek
Till lärosätets databas