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» Logic of Proofs for Bounded Arithmetic
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CADE
2007
Springer
16 years 1 days ago
Towards Efficient Satisfiability Checking for Boolean Algebra with Presburger Arithmetic
Boolean Algebra with Presburger Arithmetic (BAPA) is a decidable logic that combines 1) Boolean algebra of sets of uninterpreted elements (BA) and 2) Presburger arithmetic (PA). BA...
Viktor Kuncak, Martin C. Rinard
MLQ
2010
99views more  MLQ 2010»
14 years 10 months ago
Proof interpretations with truth
This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
Jaime Gaspar, Paulo Oliva
CADE
2005
Springer
16 years 1 days ago
An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
CORR
2010
Springer
151views Education» more  CORR 2010»
14 years 11 months ago
Redundancies in Dependently Typed Lambda Calculi and Their Relevance to Proof Search
Dependently typed -calculi such as the Logical Framework (LF) are capable of representing relationships between terms through types. By exploiting the "formulas-as-types"...
Zachary Snow, David Baelde, Gopalan Nadathur
CAV
1998
Springer
175views Hardware» more  CAV 1998»
15 years 4 months ago
An ACL2 Proof of Write Invalidate Cache Coherence
As a pedagogical exercise in ACL2, we formalize and prove the correctness of a write invalidate cache scheme. In our formalization, an arbitrary number of processors, each with its...
J. Strother Moore