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» Matrix-based Constructive Theorem Proving
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CADE
2001
Springer
14 years 6 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
11 years 8 months 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
13 years 12 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
13 years 10 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
13 years 11 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