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» A Theorem Prover for a Computational Logic
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TPHOL
2005
IEEE
15 years 3 months ago
A Structured Set of Higher-Order Problems
Abstract. We present a set of problems that may support the development of calculi and theorem provers for classical higher-order logic. We propose to employ these test problems as...
Christoph Benzmüller, Chad E. Brown
JLP
2010
59views more  JLP 2010»
14 years 4 months ago
The proof monad
A formalism for expressing the operational semantics of proof languages used in procedural theorem provers is proposed. It is argued that this formalism provides an elegant way to...
Florent Kirchner, César Muñoz
MKM
2009
Springer
15 years 4 months ago
Combining Coq and Gappa for Certifying Floating-Point Programs
Abstract. Formal verification of numerical programs is notoriously difficult. On the one hand, there exist automatic tools specialized in floatingpoint arithmetic, such as Gappa...
Sylvie Boldo, Jean-Christophe Filliâtre, Gui...
CADE
2010
Springer
14 years 10 months ago
Premise Selection in the Naproche System
Abstract. Automated theorem provers (ATPs) struggle to solve problems with large sets of possibly superfluous axiom. Several algorithms have been developed to reduce the number of ...
Marcos Cramer, Peter Koepke, Daniel Kühlwein,...
LICS
2012
IEEE
13 years 2 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 ...