fd3d42ae33
git-subtree-dir: golang-lean git-subtree-mainline:6487c7046fgit-subtree-split:f5f1701922
36 lines
1.3 KiB
Text
36 lines
1.3 KiB
Text
namespace GolangLean.Core
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/-! # Tiny Go Core (TGC) — abstract syntax.
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A small calculus that captures the *essential computation* of Go's
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sequential fragment: variables, functions, mutable references (Go's `&`/`*`),
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sequencing, and conditionals. Everything in surface Go is intended to
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desugar into this kernel.
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What is *not* here: types (introduced in a later module), goroutines,
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channels, structs, slices, methods, interfaces. The point of starting tiny
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is that every theorem we prove about TGC carries over once those
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extensions are added compositionally. -/
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inductive BinOp where
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| add | sub | mul
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| eq | lt
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deriving Repr, BEq, DecidableEq, Inhabited
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inductive Term where
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| unitT : Term
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| intLit : Int → Term
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| boolLit : Bool → Term
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| var : String → Term
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| lam : String → Term → Term -- λ x. e
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| app : Term → Term → Term
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| letIn : String → Term → Term → Term -- let x = e₁ in e₂
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| ifte : Term → Term → Term → Term
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| binop : BinOp → Term → Term → Term
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| refMk : Term → Term -- &e (allocate)
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| deref : Term → Term -- *e (read)
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| assign : Term → Term → Term -- *p = e
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| seq : Term → Term → Term
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deriving Repr, Inhabited
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end GolangLean.Core
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