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IANDC
2007
133views more  IANDC 2007»
14 years 11 months ago
On decidability of monadic logic of order over the naturals extended by monadic predicates
A fundamental result of Büchi states that the set of monadic second-order formulas true in the structure (Nat, <) is decidable. A natural question is: what monadic predicates ...
Alexander Rabinovich
ECCC
2006
88views more  ECCC 2006»
14 years 11 months ago
On Probabilistic versus Deterministic Provers in the Definition of Proofs Of Knowledge
Abstract. This article points out a gap between two natural formulations of the concept of a proof of knowledge, and shows that in all natural cases (e.g., NP-statements) this gap ...
Mihir Bellare, Oded Goldreich
ASM
2010
ASM
15 years 8 months ago
Synchronous Message Passing and Semaphores: An Equivalence Proof
A natural encoding of synchronous message exchange with direct wait-control is proved to be equivalent in a distributed environment to a refinement which uses semaphores to implem...
Iain Craig, Egon Börger
JAR
2002
77views more  JAR 2002»
14 years 11 months ago
Proof Reflection in Coq
We formalise natural deduction for first-order logic in the proof assistant Coq, using De Bruijn indices for variable binding. The main judgement we model is of the form d [:] , ...
Dimitri Hendriks
CADE
2006
Springer
16 years 22 hour ago
Automating Proofs in Category Theory
Abstract. We introduce a semi-automated proof system for basic category-theoretic reasoning. It is based on a first-order sequent calculus that captures the basic properties of cat...
Dexter Kozen, Christoph Kreitz, Eva Richter