Agda — 128 Operations for AI Agents
This page is the canonical reference an AI coding agent uses to refactor, query, and analyze Agda code through the act MCP server. 128 operations available: 54 refactor, 18 query, 42 analysis, 14 verification. Each operation is callable from Claude Code, Cursor, Codex, OpenCode, or any MCP-compatible agent host. Click any operation for a stable anchor link suitable for citation.
Query
18 query tools, the same on every supported language. Descriptions live in the shared reference: /docs/query-tools.
callers control_flow data_flow definition diagnostics effect_closure effect_summary fix_auto get_type graph import_organize interface mutations references repo_outline skeleton symbols symbols_batch
Refactor
| Operation | Description |
|---|---|
add-abstract-block |
Wrap definitions in abstract block for encapsulation |
add-hole |
Replace expression with hole for type-guided development |
add-module-import |
Add import statement for module |
add-pragma |
Add language pragma to declaration or file header |
add-private-block |
Wrap definitions in private block for visibility control |
add-type-signature |
Add explicit type signature to definition |
convert-from-record |
Convert record type to data type with positional fields |
convert-to-copattern |
Convert record constructor to copattern definitions |
convert-to-implicit |
Convert explicit argument to implicit {x : A} |
convert-to-instance-argument |
Convert explicit argument to instance argument {{...}} |
convert-to-record |
Convert data type with named fields to record type |
extract-definition |
Extract expression into named definition with type inference |
extract_function |
Extract a code selection into a new function — automatically infers parameters, return types, and inserts the call site. Use instead of manually cutting/pasting code. Works without LSP; LSP improves type inference. Params: file (string), new_name (string), start_line (u32), start_column (u32), end_line (u32), end_column (u32) [, preview (bool), receipt (bool)] |
extract_variable |
Extract an expression into a named variable — inserts the declaration and replaces the expression with the variable name. Works without LSP. Params: file (string), new_name (string), start_line (u32), start_column (u32), end_line (u32), end_column (u32) [, preview (bool)] |
fill-hole |
Fill hole with inferred term or provided expression |
generate-abstract-definition |
Generate definition in abstract block with hidden implementation |
generate-data-type |
Generate data type declaration from name and constructors |
generate-decidable-instance |
Generate Dec instance for decidable equality on type |
generate-equality-proof |
Generate propositional equality proof with refl or equational reasoning |
generate-function-stub |
Generate function signature and placeholder implementation |
generate-induction-principle |
Generate induction principle for data type |
generate-instance-declaration |
Generate instance declaration for implicit parameter |
generate-module-scaffold |
Generate module structure with common declarations |
generate-mutual-block |
Generate mutual block for mutually recursive definitions |
generate-pattern-match |
Generate case expression with patterns for type |
generate-proof-obligation |
Generate proof obligation statement with holes |
generate-record-projections |
Generate projection functions for record fields |
generate-record-type |
Generate record type with named fields |
generate-safe-pragma |
Generate {-# OPTIONS --safe #-} pragma header |
generate-type-alias |
Generate type alias for complex type expression |
inline |
Inline a variable, function, or method — replace every usage with its definition body, then remove the original. The inverse of extract. Works without LSP (single-file); LSP enables cross-file inlining. Params: file (string), symbol (string) [, line (u32), preview (bool), receipt (bool)] |
inline-definition |
Replace definition reference with definition body |
insert_body |
Replace a function's implementation body with new code. AST-validated — rejects if the result has parse errors, so you can't accidentally break syntax. Use instead of manual text editing for function rewrites. Params: file (string), symbol (string), code (string) [, commit (bool)] |
introduce-variable |
Extract expression into named variable binding |
introduce-where-clause |
Introduce where clause to scope local definitions |
introduce-with-abstraction |
Introduce with abstraction for pattern matching on goals |
move_symbol |
Move a function, class, or type to a different file and automatically update all imports across the codebase. Use instead of manually cut/paste + fixing imports. Works without LSP (single-file); LSP enables cross-file import updates. Params: file (string), symbol (string), destination (string) [, preview (bool), receipt (bool)] |
organize-imports |
Sort and group imports, remove duplicates |
qualify-name |
Qualify name with module prefix |
recipe_run |
Run a codemod recipe: declarative match → transform → optional verify across modeled grammars. Preview lists matches; apply writes with optional E7 receipts and all-or-nothing rollback. Returns a per-site report. |
remove-abstract-block |
Remove abstract block exposing implementation details |
remove-let-binding |
Remove let binding and inline its definition |
remove-private-block |
Remove private block making definitions public |
remove-type-signature |
Remove explicit type signature relying on inference |
remove-unused-import |
Remove import statement that is not used |
remove-where-clause |
Remove where clause and promote definitions to top level |
remove-with-abstraction |
Remove with clause and inline matched patterns |
rename |
Rename a symbol and automatically update ALL references across the codebase. Safer and faster than find-and-replace — AST-aware, won't rename strings or comments. Works without LSP (single-file); LSP enables cross-file renames. Params: file (string), old_name (string), new_name (string) [, line (u32), column (u32), preview (bool), receipt (bool)] |
rename-data-type |
Rename a data type and update all references |
rename-identifier |
Rename a variable or binding across all references |
rename-module |
Rename a module and update all imports |
rename-record-field |
Rename a record field and update all accesses |
split-pattern |
Split pattern in case expression on constructor |
unqualify-name |
Remove module prefix qualification from name |
Analysis
42 analysis tools, the same on every supported language. Descriptions live in the shared reference: /docs/analysis-tools.
analyze_api_diff analyze_chokepoints analyze_clones analyze_clusters analyze_cohesion analyze_conformance analyze_coupling analyze_cycle_risk analyze_cycles analyze_dead_code analyze_depth analyze_entry_points analyze_export analyze_extraction analyze_fan_balance analyze_features analyze_hotspots analyze_impact analyze_inconsistencies analyze_inheritance analyze_interface_bloat analyze_interfaces analyze_layers analyze_orphan_types analyze_patterns analyze_platform_deps analyze_readiness analyze_roles analyze_seams analyze_stability analyze_surface analyze_test_gaps analyze_thickness analyze_type_completeness churn_hotspots co_change_clusters coverage_overlay ownership_map profile_overlay simulate split_module trace_overlay
Verify
14 verify tools, the same on every supported language. Descriptions live in the shared reference: /docs/verification.
bisect_regression gate generate_test_harness scan secret_surface summarize_pr taint_flow unsafe_surface verify_behavioral_equivalence verify_contract_preserved verify_diff_semantics verify_port_parity verify_side_effects verify_test_impact