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CSL
2002
Springer
13 years 5 months ago
Open Proofs and Open Terms: A Basis for Interactive Logic
In the process of interactive theorem proving one often works with incomplete higher order proofs. In this paper we address the problem of giving a correctness criterion for these ...
Herman Geuvers, Gueorgui I. Jojgov
CADE
2005
Springer
14 years 6 months ago
A Proof-Producing Decision Procedure for Real Arithmetic
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
Sean McLaughlin, John Harrison
LICS
2012
IEEE
11 years 8 months ago
Foundational, Compositional (Co)datatypes for Higher-Order Logic: Category Theory Applied to Theorem Proving
—Interactive theorem provers based on higher-order logic (HOL) traditionally follow the definitional approach, reducing high-level specifications to logical primitives. This al...
Dmitriy Traytel, Andrei Popescu, Jasmin Christian ...
CSL
2007
Springer
14 years 5 days ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
CADE
2003
Springer
14 years 6 months ago
IsaPlanner: A Prototype Proof Planner in Isabelle
IsaPlanner is a generic framework for proof planning in the interactive theorem prover Isabelle. It facilitates the encoding of reasoning techniques, which can be used to conjectur...
Lucas Dixon, Jacques D. Fleuriot