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ACL2
2006
ACM
14 years 3 months ago
An embedding of the ACL2 logic in HOL
We describe an embedding of the ACL2 logic into higherorder logic. An implementation of this embedding allows ACL2 to be used as an oracle for higher-order logic provers. Categori...
Michael J. C. Gordon, Warren A. Hunt Jr., Matt Kau...
ACL2
2006
ACM
14 years 1 months ago
Quantification in tail-recursive function definitions
We investigate the logical issues behind axiomatizing equations that contain both recursive calls and quantifiers in ACL2. We identify a class of such equations, named extended ta...
Sandip Ray
ITP
2010
178views Mathematics» more  ITP 2010»
13 years 11 months ago
Developing the Algebraic Hierarchy with Type Classes in Coq
We present a new formalization of the algebraic hierarchy in Coq, exploiting its new type class mechanism to make practical a solution formerly thought infeasible. Our approach add...
Bas Spitters, Eelis van der Weegen
ICAIL
2003
ACM
14 years 2 months ago
Developing Legal Knowledge Based Systems Through Theory Construction
Bench-Capon and Sartor have proposed that reasoning with legal cases be seen as a process of theory construction, evaluation and application. They have proposed a set of theory co...
Alison Chorley, Trevor J. M. Bench-Capon
CORR
2004
Springer
100views Education» more  CORR 2004»
13 years 9 months ago
On the Theory of Structural Subtyping
We show that the first-order theory of structural subtyping of non-recursive types is decidable. Let be a language consisting of function symbols (representing type constructors)...
Viktor Kuncak, Martin C. Rinard