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Chapter and Conference Paper
An SMT Encoding of LLVM’s Memory Model for Bounded Translation Validation
Several automatic verification tools have been recently developed to verify subsets of LLVM’s optimizations. However, none of these tools has robust support to verify memory optimizations.
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Chapter and Conference Paper
AliveInLean: A Verified LLVM Peephole Optimization Verifier
Ensuring that compiler optimizations are correct...
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Chapter and Conference Paper
Second-Order Equational Logic (Extended Abstract)
We extend universal algebra and its equational logic from first to second order as follows.
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Chapter and Conference Paper
Mathematical Synthesis of Equational Deduction Systems
Our view of computation is still evolving. The concrete theories for specific computational phenomena that are emerging encompass three aspects: specification and programming languages for describing computations...
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Chapter and Conference Paper
Equational Systems and Free Constructions (Extended Abstract)
The purpose of this paper is threefold: to present a general abstract, yet practical, notion of equational system; to investigate and develop a theory of free constructions for such equational systems; and to ...