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CORR
2008
Springer
122views Education» more  CORR 2008»
13 years 4 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...
MPC
2010
Springer
159views Mathematics» more  MPC 2010»
13 years 9 months ago
Subtyping, Declaratively
Abstract. It is natural to present subtyping for recursive types coinductively. However, Gapeyev, Levin and Pierce have noted that there is a problem with coinductive definitions ...
Nils Anders Danielsson, Thorsten Altenkirch
IJCAI
1997
13 years 6 months ago
Automation of Diagrammatic Reasoning
Theoremsin automated theorem proving are usually proved by logical formal proofs. However,there is a subset of problems which humanscan prove in a different wayby the use of geome...
Mateja Jamnik, Alan Bundy, Ian Green
PPDP
2009
Springer
13 years 11 months ago
Reasoning with hypothetical judgments and open terms in hybrid
Hybrid is a system developed to specify and reason about logics, programming languages, and other formal systems expressed in rder abstract syntax (HOAS). An important goal of Hyb...
Amy P. Felty, Alberto Momigliano