I spent way too long on the to_str formatting for nested tuples before even touching the Function class.
Start by clarifying the requirements and scope of the type system, then design a class hierarchy with Node as an abstract base and subclasses for primitives, type variables, and tuples. Implement Function to hold parameter and return types, and add string formatting methods that produce readable type expressions. Discuss trade-offs between simplicity and extensibility, and test with examples.
Pro tip: Emphasize that you're designing for extensibility and testability from the start—mention how you'd add new node types without modifying existing code (e.g., using the visitor pattern or polymorphism). This shows architectural maturity beyond just getting it working.
Ask questions to understand the expected features: what primitives exist, how tuples nest, whether type variables have constraints, and how functions are represented. Confirm the output format for string representations.
Define an abstract Node class with a toString method. Create subclasses: PrimitiveNode (e.g., int, string), TypeVariableNode (e.g., T), and TupleNode (holding a list of Nodes). Ensure each implements toString appropriately.
Create a Function class with a list of parameter Nodes and a return Node. Implement toString to format as (param1, param2) -> returnType, handling nested types recursively.
Ensure toString methods recursively call child nodes' toString, adding parentheses for tuples and commas between elements. Consider edge cases like empty tuples or functions with no parameters.
Write test cases for primitives, variables, nested tuples, and functions. Discuss trade-offs: simplicity vs. extensibility, using inheritance vs. composition, and potential future features like type checking.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Model the problem as a recursive unification task: traverse the function signature and argument types in parallel, maintaining a substitution map from generic variables to concrete types. At each step, unify types, detect conflicts, and handle nested tuples by recursing; finally, apply the substitution to the return type and report any unresolved generics.
Pro tip: Clarify upfront whether generics are invariant or covariant and how to handle unresolved generics (error vs. leave as generic), as this significantly affects the algorithm and shows you think about edge cases and API design.
Ask about invariance, conflict handling, unresolved generics, and whether tuples can be nested arbitrarily. Confirm expected output format for errors.
Represent types as a tagged union (generic, concrete, tuple) and use a substitution map (dictionary) to bind generic variables to concrete types.
Write a recursive function that takes a parameter type and an argument type, and updates the substitution map. Handle base cases (generic vs concrete, concrete vs concrete) and recursive case (tuple vs tuple).
During unification, if a generic is already bound to a different type, raise a conflict error. After processing all arguments, check the return type for any generics not in the substitution map and report them as unresolved.
Recursively substitute all generics in the return type using the final substitution map, producing the concrete return type or an error if unresolved generics remain.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.