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.

18Query
54Refactor
42Analysis
14Verify

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

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