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» The logic of proofs, semantically
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CADE
2008
Springer
14 years 11 months ago
Proving Bounds on Real-Valued Functions with Computations
Interval-based methods are commonly used for computing numerical bounds on expressions and proving inequalities on real numbers. Yet they are hardly used in proof assistants, as th...
Guillaume Melquiond
APAL
2010
98views more  APAL 2010»
13 years 11 months ago
Classical proof forestry
Classical proof forests are a proof formalism for first-order classical logic based on Herbrand's Theorem and backtracking games in the style of Coquand. First described by M...
Willem Heijltjes
TPHOL
2000
IEEE
14 years 3 months ago
Proving ML Type Soundness Within Coq
We verify within the Coq proof assistant that ML typing is sound with respect to the dynamic semantics. We prove this property in the framework of a big step semantics and also in ...
Catherine Dubois
JIIS
2008
104views more  JIIS 2008»
13 years 10 months ago
A framework for checking proofs naturally
We propose a natural framework, called NF, which supports development of formal proofs on a computer. NF is based on a theory of Judgments and Derivations. NF is designed by observ...
Masahiko Sato
TPHOL
1999
IEEE
14 years 3 months ago
Three Tactic Theorem Proving
Abstract. We describe the key features of the proof description language of Declare, an experimental theorem prover for higher order logic. We take a somewhat radical approach to p...
Don Syme