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POPL
2007
ACM
14 years 11 months ago
Logic-flow analysis of higher-order programs
This work presents a framework for fusing flow analysis and theorem proving called logic-flow analysis (LFA). The framework itthe reduced product of two abstract interpretations: ...
Matthew Might
CADE
2004
Springer
14 years 11 months ago
TaMeD: A Tableau Method for Deduction Modulo
Deduction modulo is a theoretical framework for reasoning modulo a congruence on propositions. Computational steps are thus removed from proofs, thus allowing a clean separatation...
Richard Bonichon
APAL
2010
114views more  APAL 2010»
13 years 11 months ago
Classical predicative logic-enriched type theories
A logic-enriched type theory (LTT) is a type theory extended with a primitive mechanism for forming and proving propositions. We construct two LTTs, named LTT0 and LTT 0, which we...
Robin Adams, Zhaohui Luo
CORR
2011
Springer
137views Education» more  CORR 2011»
13 years 5 months ago
Existential witness extraction in classical realizability and via a negative translation
Abstract. We show how to extract existential witnesses from classical proofs using Krivine’s classical realizability—where classical proofs are interpreted as λ-terms with the...
Alexandre Miquel
FROCOS
2000
Springer
14 years 2 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio