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authorAlasdair Armstrong2017-06-15 16:57:49 +0100
committerAlasdair Armstrong2017-06-15 17:31:45 +0100
commit2e6dcb94996ebe208241711e70fd0609ab5d58fc (patch)
tree3cafbe9b74a81ce6f364b1f012cf646414a700c0 /src/gen_lib/deep_shallow_convert.lem
parent0ffbc5215b8bc58de2255a0b309cfacc26b47ec9 (diff)
Prototype Bi-directional type checking algorithm for sail
Started work on a bi-directional type checking algorithm for sail based on Mark and Neel's typechecker for minisail in idl repository. It's a bit different though, because we are working with the unmodified sail AST, and not in let normal-form. Currently, we can check a fragment of sail that includes pattern matching (in both function clauses and switch statements), numeric constraints (but not set constraints), function application, casts between numeric types, assignments to local mutable variables, sequential blocks, and (implicit) let expressions. For example, we can correctly typecheck the following program: val forall Nat 'n, Nat 'm. ([:'n + 20:], [:'m:]) -> [:'n + 20 + 'm:] effect pure plus val forall Nat 'n, 'n <= -10. [:'n:] -> [:'n:] effect pure minus_ten_id val forall Nat 'n, 'n >= 10. [:'n:] -> [:'n:] effect pure ten_id val forall Nat 'N, 'N >= 63. [|10:'N|] -> [|10:'N|] effect pure branch function forall Nat 'N, 'N >= 63. [|10:'N|] branch x = { switch x { case ([|10:30|]) y -> y case ([:31:]) _ -> sizeof 'N case ([|31:40|]) _ -> plus(60,3) } } and branch (([|51:63|]) _) = ten_id(sizeof 'N) The typechecker has been set up so it can produce derivation trees for the typing judgements and constraints, so for the above program we have: Checking function branch Adding local binding x :: range<10, 'N> | Check { switch x { case (range<10, 30>) y -> y case (atom<31>) _ -> sizeof 'N case (range<31, 40>) _ -> plus(60, 3)} } <= range<10, 'N> | | Check switch x { case (range<10, 30>) y -> y case (atom<31>) _ -> sizeof 'N case (range<31, 40>) _ -> plus(60, 3)} <= range<10, 'N> | | | Infer x => range<10, 'N> | | Subset 'N >= 63 |- {'fv1 | 10 <= 'fv1 & 'fv1 <= 30} {'fv0 | 10 <= 'fv0 & 'fv0 <= 'N} | | Adding local binding y :: range<10, 30> | | | Check y <= range<10, 'N> | | | | Infer y => range<10, 30> | | | Subset 'N >= 63 |- {'fv4 | 10 <= 'fv4 & 'fv4 <= 30} {'fv3 | 10 <= 'fv3 & 'fv3 <= 'N} | | Subset 'N >= 63 |- {'fv7 | 31 <= 'fv7 & 'fv7 <= 31} {'fv6 | 10 <= 'fv6 & 'fv6 <= 'N} | | | Check sizeof 'N <= range<10, 'N> | | | | Infer sizeof 'N => atom<'N> | | | Subset 'N >= 63 |- {'fv10 | 'N <= 'fv10 & 'fv10 <= 'N} {'fv9 | 10 <= 'fv9 & 'fv9 <= 'N} | | Subset 'N >= 63 |- {'fv13 | 31 <= 'fv13 & 'fv13 <= 40} {'fv12 | 10 <= 'fv12 & 'fv12 <= 'N} | | | Check plus(60, 3) <= range<10, 'N> | | | | | Infer 60 => atom<60> | | | | | Infer 3 => atom<3> | | | | Infer plus(60, 3) => atom<((60 - 20) + (20 + 3))> | | | Subset 'N >= 63 |- {'fv20 | ((60 - 20) + (20 + 3)) <= 'fv20 & 'fv20 <= ((60 - 20) + (20 + 3))} {'fv19 | 10 <= 'fv19 & 'fv19 <= 'N} Subset 'N >= 63 |- {'fv23 | 51 <= 'fv23 & 'fv23 <= 63} {'fv22 | 10 <= 'fv22 & 'fv22 <= 'N} | Check ten_id(sizeof 'N) <= range<10, 'N> | | | Infer sizeof 'N => atom<'N> | | Prove 'N >= 63 |- 'N >= 10 | | Infer ten_id(sizeof 'N) => atom<'N> | Subset 'N >= 63 |- {'fv28 | 'N <= 'fv28 & 'fv28 <= 'N} {'fv27 | 10 <= 'fv27 & 'fv27 <= 'N} Judgements are displayed in the order they occur - inference steps go inwards bottom up, while checking steps go outwards top-down. The subtyping rules from Mark and Neel's check_sub rule all are verified using the Z3 constraint solver. I have been a set of tests in test/typecheck which aim to exhaustively test all the code paths in the typechecker, adding new tests everytime I add support for a new construct. The new checker is turned on using the -new_typecheck option, and can be tested (from the toplevel sail directory) by running: test/typecheck/run_tests.sh -new_typecheck (currently passes 32/32) and compared to the old typechecker by test/typecheck/run_tests.sh (currently passes 21/32)
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