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» A constructive version of Birkhoff's theorem
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PLPV
2010
ACM
14 years 4 months ago
Free theorems for functional logic programs
Type-based reasoning is popular in functional programming. In particular, parametric polymorphism constrains functions in such a way that statements about their behavior can be de...
Jan Christiansen, Daniel Seidel, Janis Voigtlä...
ICALP
2004
Springer
14 years 28 days ago
A Domain Theoretic Account of Picard's Theorem
We present a domain-theoretic version of Picard’s theorem for solving classical initial value problems in Rn . For the case of vector fields that satisfy a Lipschitz condition, ...
Abbas Edalat, Dirk Pattinson
IJCAI
1989
13 years 8 months ago
A Theorem Prover for Prioritized Circumscription
In a recent paper, Ginsberg shows how a backward-chaining ATMS can be used to construct a theorem prover for circumscription. Here, this work is extended to handle prioritized cir...
Andrew B. Baker, Matthew L. Ginsberg
APAL
2006
73views more  APAL 2006»
13 years 7 months ago
Compactness in locales and in formal topology
If a locale is presented by a "flat site", it is shown how its frame can be presented by generators and relations as a dcpo. A necessary and sufficient condition is deri...
Steven J. Vickers
CHARME
2003
Springer
103views Hardware» more  CHARME 2003»
14 years 23 days ago
Linear and Nonlinear Arithmetic in ACL2
Abstract. As of version 2.7, the ACL2 theorem prover has been extended to automatically verify sets of polynomial inequalities that include nonlinear relationships. In this paper w...
Warren A. Hunt Jr., Robert Bellarmine Krug, J. Str...