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» A Framework for Interactive Proof
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TPHOL
1999
IEEE
15 years 1 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
AISC
2008
Springer
14 years 11 months ago
Automating Side Conditions in Formalized Partial Functions
Abstract. Assumptions about the domains of partial functions are necessary in state-of-the-art proof assistants. On the other hand when mathematicians write about partial functions...
Cezary Kaliszyk
CIE
2006
Springer
15 years 1 months ago
Coinductive Proofs for Basic Real Computation
We describe two representations for real numbers, signed digit streams and Cauchy sequences. We give coinductive proofs for the correctness of functions converting between these tw...
Tie Hou
FROCOS
2011
Springer
13 years 9 months ago
Automatic Proof and Disproof in Isabelle/HOL
Abstract. Isabelle/HOL is a popular interactive theorem prover based on higherorder logic. It owes its success to its ease of use and powerful automation. Much of the automation is...
Jasmin Christian Blanchette, Lukas Bulwahn, Tobias...
CADE
2000
Springer
15 years 2 months ago
Automated Proof Construction in Type Theory Using Resolution
We provide techniques to integrate resolution logic with equality in type theory. The results may be rendered as follows. − A clausification procedure in type theory, equipped w...
Marc Bezem, Dimitri Hendriks, Hans de Nivelle