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» The Deduction Theorem for Strong Propositional Proof Systems
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CSL
2004
Springer
15 years 3 months ago
A Third-Order Bounded Arithmetic Theory for PSPACE
We present a novel third-order theory W1 1 of bounded arithmetic suitable for reasoning about PSPACE functions. This theory has the advantages of avoiding the smash function symbol...
Alan Skelley
LATIN
2004
Springer
15 years 3 months ago
A Proof System and a Decision Procedure for Equality Logic
Equality logic with or without uninterpreted functions is used for proving the equivalence or refinement between systems (hardware verification, compiler’s translation, etc). C...
Olga Tveretina, Hans Zantema
KBSE
1997
IEEE
15 years 1 months ago
NORA/HAMMR: Making Deduction-Based Software Component Retrieval Practical
Deduction-based software component retrieval uses preand postconditions as indexes and search keys and an automated theorem prover (ATP) to check whether a component matches. This...
Johann Schumann, Bernd Fischer 0002
TYPES
2004
Springer
15 years 3 months ago
Extracting a Normalization Algorithm in Isabelle/HOL
We present a formalization of a constructive proof of weak normalization for the simply-typed λ-calculus in the theorem prover Isabelle/HOL, and show how a program can be extracte...
Stefan Berghofer
ECAI
2004
Springer
15 years 1 months ago
Lakatos-Style Automated Theorem Modification
We describe a flexible approach to automated reasoning, where non-theorems can be automatically altered to produce proved results which are related to the original. This is achieve...
Simon Colton, Alison Pease