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» On Proofs in System P
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LFCS
2007
Springer
16 years 29 days ago
The Intensional Lambda Calculus
We introduce a natural deduction formulation for the Logic of Proofs, a refinement of modal logic S4 in which the assertion PA is replaced by [[s]]A whose intended reading is “s...
Sergei N. Artëmov, Eduardo Bonelli
SAC
2006
ACM
16 years 23 days ago
Provably faithful evaluation of polynomials
We provide sufficient conditions that formally guarantee that the floating-point computation of a polynomial evaluation is faithful. To this end, we develop a formalization of ...
Sylvie Boldo, César Muñoz
CSL
2004
Springer
16 years 6 days 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
LICS
1994
IEEE
15 years 11 months ago
Subtyping and Parametricity
In this paper we study the interaction of subtyping and parametricity. We describe a logic for a programming language with parametric polymorphism and subtyping. The logic support...
Gordon D. Plotkin, Martín Abadi, Luca Carde...
APAL
2010
113views more  APAL 2010»
15 years 7 months ago
Logic for update products and steps into the past
This paper provides a sound and complete proof system for a language Le+Y that adds to Dynamic Epistemic Logic (DEL) a discrete previous-time operator as well as single symbol for...
Joshua Sack