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CORR
2008
Springer
122views Education» more  CORR 2008»
14 years 9 months ago
From formal proofs to mathematical proofs: a safe, incremental way for building in first-order decision procedures
Abstract We investigate here a new version of the Calculus of Inductive Constructions (CIC) on which the proof assistant Coq is based: the Calculus of Congruent Inductive Construct...
Frédéric Blanqui, Jean-Pierre Jouann...
CORR
2012
Springer
212views Education» more  CORR 2012»
13 years 5 months ago
A Bi-Directional Refinement Algorithm for the Calculus of (Co)Inductive Constructions
The paper describes the refinement algorithm for the Calculus of (Co)Inductive Constructions (CIC) implemented in the interactive theorem prover Matita. The refinement algorithm ...
Andrea Asperti, Wilmer Ricciotti, Claudio Sacerdot...
CADE
2007
Springer
15 years 10 months ago
Bidirectional Decision Procedures for the Intuitionistic Propositional Modal Logic IS4
We present a multi-context focused sequent calculus whose derivations are in bijective correspondence with normal natural deductions in the propositional fragment of the intuitioni...
Samuli Heilala, Brigitte Pientka
LPAR
2004
Springer
15 years 3 months ago
A Decomposition Rule for Decision Procedures by Resolution-Based Calculi
Resolution-based calculi are among the most widely used calculi for theorem proving in first-order logic. Numerous refinements of resolution are nowadays available, such as e.g. ...
Ullrich Hustadt, Boris Motik, Ulrike Sattler