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» Automated Proof Construction in Type Theory Using Resolution
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DLOG
2010
13 years 5 months ago
Logic for Modeling Product Structure
A fragment of type theory with OWL class constructions for types and binary properties is used to formalize SysML Structural Block Diagram models. A structural SysML block diagram ...
Henson Graves
CADE
2005
Springer
14 years 7 months ago
Reflecting Proofs in First-Order Logic with Equality
Our general goal is to provide better automation in interactive proof assistants such as Coq. We present an interpreter of proof traces in first-order multi-sorted logic with equal...
Evelyne Contejean, Pierre Corbineau
LICS
2010
IEEE
13 years 5 months ago
Equality Is Typable in Semi-full Pure Type Systems
—There are two usual ways to describe equality in a dependent typing system, one that uses an external notion of computation like beta-reduction, and one that introduces a typed ...
Vincent Siles, Hugo Herbelin
LICS
2002
IEEE
14 years 8 days ago
Little Engines of Proof
The automated construction of mathematical proof is a basic activity in computing. Since the dawn of the field of automated reasoning, there have been two divergent schools of tho...
Natarajan Shankar
CSL
2007
Springer
14 years 1 months ago
Typed Normal Form Bisimulation
Normal form bisimulation is a powerful theory of program equivalence, originally developed to characterize L´evy-Longo tree equivalence and Boehm tree equivalence. It has been ada...
Søren B. Lassen, Paul Blain Levy