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» Matrix-based Constructive Theorem Proving
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CADE
2001
Springer
15 years 10 months ago
JProver : Integrating Connection-Based Theorem Proving into Interactive Proof Assistants
Abstract. JProver is a first-order intuitionistic theorem prover that creates sequent-style proof objects and can serve as a proof engine in interactive proof assistants with expre...
Stephan Schmitt, Lori Lorigo, Christoph Kreitz, Al...
LICS
2012
IEEE
13 years 6 days ago
Foundational, Compositional (Co)datatypes for Higher-Order Logic: Category Theory Applied to Theorem Proving
—Interactive theorem provers based on higher-order logic (HOL) traditionally follow the definitional approach, reducing high-level specifications to logical primitives. This al...
Dmitriy Traytel, Andrei Popescu, Jasmin Christian ...
FROCOS
2005
Springer
15 years 3 months ago
ATS: A Language That Combines Programming with Theorem Proving
ATS is a language with a highly expressive type system that supports a restricted form of dependent types in which programs are not allowed to appear in type expressions. The langu...
Sa Cui, Kevin Donnelly, Hongwei Xi
TPHOL
1999
IEEE
15 years 2 months ago
Lifted-FL: A Pragmatic Implementation of Combined Model Checking and Theorem Proving
Combining theorem proving and model checking o ers the tantalizing possibility of e ciently reasoning about large circuits at high levels of abstraction. We have constructed a syst...
Mark Aagaard, Robert B. Jones, Carl-Johan H. Seger
LICS
2003
IEEE
15 years 3 months ago
New Directions in Instantiation-Based Theorem Proving
We consider instantiation-based theorem proving whereby instances of clauses are generated by certain inferences, and where inconsistency is detected by propositional tests. We gi...
Harald Ganzinger, Konstantin Korovin