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» Automating Proofs in Category Theory
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CSL
2007
Springer
15 years 3 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
LPAR
2010
Springer
14 years 10 months ago
On Strong Normalization of the Calculus of Constructions with Type-Based Termination
Termination of recursive functions is an important property in proof assistants based on dependent type theories; it implies consistency and decidability of type checking. Type-bas...
Benjamin Grégoire, Jorge Luis Sacchini
HASKELL
2009
ACM
15 years 6 months ago
A compositional theory for STM Haskell
We address the problem of reasoning about Haskell programs that use Software Transactional Memory (STM). As a motivating example, we consider Haskell code for a concurrent non-det...
Johannes Borgström, Karthikeyan Bhargavan, An...
CADE
2002
Springer
16 years 1 days ago
Formal Verification of a Combination Decision Procedure
Decision procedures for combinations of theories are at the core of many modern theorem provers such as ACL2, Ehdm, PVS, SIMPLIFY, the Stanford Pascal Verifier, STeP, SVC, and Z/Ev...
Jonathan Ford, Natarajan Shankar
POPL
2009
ACM
16 years 12 days ago
Automated verification of practical garbage collectors
Garbage collectors are notoriously hard to verify, due to their lowlevel interaction with the underlying system and the general difficulty in reasoning about reachability in graph...
Chris Hawblitzel, Erez Petrank