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Bidirectional grammars for machine-code decoding and encoding. (English) Zbl 1426.68069
Summary: Binary analysis, which analyzes machine code, requires a decoder for converting bits into abstract syntax of machine instructions. Binary rewriting requires an encoder for converting instructions to bits. We propose a domain-specific language that enables the specification of both decoding and encoding in a single bidirectional grammar. With dependent types, a bigrammar enables the extraction of an executable decoder and encoder as well as a correctness proof showing their consistency. The bigrammar DSL is embedded in Coq with machine-checked proofs. We have used the bigrammar DSL to specify the decoding and encoding of subsets of the x86-32 and MIPS instruction sets. We have also extracted an executable decoder and encoder from the x86 bigrammar with competitive performance.

MSC:
68N99 Theory of software
68Q42 Grammars and rewriting systems
68V15 Theorem proving (automated and interactive theorem provers, deduction, resolution, etc.)
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