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» A Proof System and a Decision Procedure for Equality Logic
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FUIN
2010
83views more  FUIN 2010»
13 years 4 months ago
Expressing Cardinality Quantifiers in Monadic Second-Order Logic over Trees
We study an extension of monadic second-order logic of order with the uncountability quantifier "there exist uncountably many sets". We prove that, over the class of fini...
Vince Bárány, Lukasz Kaiser, Alexand...
CADE
2007
Springer
14 years 7 months ago
A Sequent Calculus for Integer Arithmetic with Counterexample Generation
We introduce a calculus for handling integer arithmetic in first-order logic. The method is tailored to Java program verification and meant to be used both as a supporting procedur...
Philipp Rümmer
LICS
2010
IEEE
13 years 6 months ago
Breaking Paths in Atomic Flows for Classical Logic
This work belongs to a wider effort aimed at eliminating syntactic bureaucracy from proof systems. In this paper, we present a novel cut elimination procedure for classical propos...
Alessio Guglielmi, Tom Gundersen, Lutz Straß...
TIC
2000
Springer
124views System Software» more  TIC 2000»
13 years 11 months ago
Sound and Complete Elimination of Singleton Kinds
Singleton kinds provide an elegant device for expressing type equality information resulting from modern module languages, but they can severely complicate the metatheory of langu...
Karl Crary
CADE
2006
Springer
14 years 7 months ago
Solving Sparse Linear Constraints
Linear arithmetic decision procedures form an important part of theorem provers for program verification. In most verification benchmarks, the linear arithmetic constraints are dom...
Shuvendu K. Lahiri, Madanlal Musuvathi