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CORR
2008
Springer
122views Education» more  CORR 2008»
14 years 10 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»
15 years 3 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
15 years 3 days 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
15 years 5 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