go: types.sx — interface satisfaction (structural method-set check) + 7 tests [shapes-static-types-bidirectional]

Phase 3 cont. The headline Go-distinguishing typing feature: interfaces
are satisfied *structurally and silently* — no `implements` declaration,
no nominal subtyping. Any type whose method set contains all the
interface's methods (with matching signatures) satisfies it.

Method declarations now type-check via go-check-method-decl:

  * Receiver type extracted (T or *T → "T") via go-extract-recv-ty-name.
  * Method signature (:ty-func PARAMS RESULTS) bound under a mangled
    key "#method/RECV-NAME/METHOD-NAME" in ctx.
  * Body checked with receiver + params extended into the body ctx.

go-iface-satisfies? CTX TY-NAME IFACE-TYPE walks the interface's
:method elements; for each, looks up #method/TY-NAME/METHOD-NAME and
compares (PARAMS, RESULTS) tuples. Embedded interfaces (:embed
elements) skipped in v0 — recursive interface resolution later.

Tests:
  * method-decl binds under #method/Point/String
  * pointer-receiver method also keys the base type
  * Point with String() satisfies interface { String() string }
  * empty type does NOT satisfy Stringer
  * arity-mismatch method fails satisfaction
  * multi-method satisfaction works
  * partial method-set fails

types 72/72, total 377/377. Phase 3 sub-deliverable list is now
substantially complete; only AST-path error context remains as a UX
sharpener.

Sister-plan static-types-bidirectional diary updated with the
**constraint-satisfies? pluggable predicate** kit-API proposal —
third pluggable point after synth/check + assignable?. Go interfaces,
Haskell typeclasses, Rust traits, and TS structural subtyping all
answer "does this value-type fit this constraint-type?" with
different machinery; the kit's check uses constraint-satisfies? when
EXPECTED is itself a constraint type.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

lib/go/tests/types.sx

@@ -476,6 +476,93 @@
     "x")
   (list :ty-slice (list :ty-name "int")))
 
+(go-types-test
+  "method: decl binds method-key"
+  (go-ctx-lookup
+    (go-check-decl
+      go-ctx-empty
+      (go-parse "func (p Point) String() string { return \"p\" }"))
+    "#method/Point/String")
+  (list :ty-func (list) (list (list :ty-name "string"))))
+
+(go-types-test
+  "method: pointer receiver also keyed by base type"
+  (go-ctx-lookup
+    (go-check-decl
+      go-ctx-empty
+      (go-parse "func (p *Point) String() string { return \"p\" }"))
+    "#method/Point/String")
+  (list :ty-func (list) (list (list :ty-name "string"))))
+
+(go-types-test
+  "iface: Point satisfies Stringer (structural)"
+  (let
+    ((ctx (go-check-decl go-ctx-empty (go-parse "func (p Point) String() string { return \"p\" }"))))
+    (go-iface-satisfies?
+      ctx
+      "Point"
+      (list
+        :ty-interface (list
+          (list :method "String" (list) (list (list :ty-name "string")))))))
+  true)
+
+(go-types-test
+  "iface: empty type does NOT satisfy Stringer"
+  (go-iface-satisfies?
+    go-ctx-empty
+    "Empty"
+    (list
+      :ty-interface (list (list :method "String" (list) (list (list :ty-name "string"))))))
+  false)
+
+(go-types-test
+  "iface: type with wrong-arity method fails"
+  (let
+    ((ctx (go-check-decl go-ctx-empty (go-parse "func (p Point) String(x int) string { return \"p\" }"))))
+    (go-iface-satisfies?
+      ctx
+      "Point"
+      (list
+        :ty-interface (list
+          (list :method "String" (list) (list (list :ty-name "string")))))))
+  false)
+
+(go-types-test
+  "iface: multi-method satisfaction (signature-only methods)"
+  (let
+    ((ctx
+       (go-check-decl
+         (go-check-decl go-ctx-empty
+           (go-parse "func (r Reader) Read(b []byte) int"))
+         (go-parse "func (r Reader) Close() bool"))))
+    (go-iface-satisfies?
+      ctx
+      "Reader"
+      (list
+        :ty-interface (list
+          (list :method "Read"
+            (list (list :ty-slice (list :ty-name "byte")))
+            (list (list :ty-name "int")))
+          (list :method "Close" (list)
+            (list (list :ty-name "bool")))))))
+  true)
+
+(go-types-test
+  "iface: partial method set fails (missing one method)"
+  (let
+    ((ctx (go-check-decl go-ctx-empty (go-parse "func (r Reader) Read(b []byte) int { return 0 }"))))
+    (go-iface-satisfies?
+      ctx
+      "Reader"
+      (list
+        :ty-interface (list
+          (list
+            :method "Read"
+            (list (list :ty-slice (list :ty-name "byte")))
+            (list (list :ty-name "int")))
+          (list :method "Close" (list) (list (list :ty-name "error")))))))
+  false)
+
 (define
   go-types-test-summary
   (str "types " go-types-test-pass "/" go-types-test-count))