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Titlebook: Certified Programs and Proofs; First International Jean-Pierre Jouannaud,Zhong Shao Conference proceedings 2011 Springer-Verlag GmbH Berli

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Modular SMT Proofs for Fast Reflexive Checking Inside Coqe relatively small and their proof is obtained with a modest overhead by our proof-producing prover. We present experiments assessing the feasibility of the approach for benchmarks obtained from the SMT competition.
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https://doi.org/10.1007/978-94-011-0605-4sent the structure of proof evidence captured by a particular class of computational logic systems. While such proof certificates can capture a wide variety of proof structures, a proof checker can remain simple since it must only understand the micro-rules and the discipline of focusing. Since proo
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Proof-Carrying Code in a Session-Typed Process Calculusw how to exploit dependent session types to express proof-carrying communication. We further introduce two modal operators into the type theory to provide detailed control about how much information is communicated: one based on traditional proof irrelevance and one integrating digital signatures.
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Automated Certification of Implicit Induction Proofs certify properties about conditional specifications that are proved using automated proof techniques like those employed by the Spike prover, a rewrite-based implicit induction proof system. The certification methodology is based on a new representation of the implicit induction proofs for which th
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A Proposal for Broad Spectrum Proof Certificates the construction of “macro” level inference rules based on the “micro” inference rules which introduce single logical connectives. After presenting focused proof systems for first-order classical logics (one with and one without fixed points and equality) we illustrate several examples of proof cer
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