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CSL
2007
Springer
15 years 10 months ago
MSO on the Infinite Binary Tree: Choice and Order
We give a new proof showing that it is not possible to define in monadic second-order logic (MSO) a choice function on the infinite binary tree. This result was first obtained by G...
Arnaud Carayol, Christof Löding
TYPES
2000
Springer
15 years 10 months ago
Constructive Reals in Coq: Axioms and Categoricity
We describe a construction of the real numbers carried out in the Coq proof assistant. The basis is a set of axioms for the constructive real numbers as used in the FTA (Fundamenta...
Herman Geuvers, Milad Niqui
ANSS
1991
IEEE
15 years 10 months ago
A provably correct, non-deadlocking parallel event simulation algorithm
This paper first summerizes and then presents a formal proof to a new conservative deadlock-free algorithm, YADDES [l], for asynchronous discrete event simulation. The proof not o...
Meng-Lin Yu, Sumit Ghosh, Erik DeBenedictis
205
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AISC
2010
Springer
15 years 10 months ago
A Formal Quantifier Elimination for Algebraically Closed Fields
We prove formally that the first order theory of algebraically closed fields enjoy quantifier elimination, and hence is decidable. This proof is organized in two modular parts. We ...
Cyril Cohen, Assia Mahboubi
ESOP
2010
Springer
15 years 10 months ago
TRX: A Formally Verified Parser Interpreter
Parsing is an important problem in computer science and yet surprisingly little attention has been devoted to its formal verification. In this paper, we present TRX: a parser inter...
Adam Koprowski, Henri Binsztok