93 lines
2.6 KiB
Markdown
93 lines
2.6 KiB
Markdown
# Geolog Q&A Session
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*Date: 2026-03-17*
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---
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## Q1: Is this project complete?
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**Answer: Yes, the core functionality is complete and production-ready.**
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### What Geolog Does
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Geolog is a reasoning engine for geometric logic. It lets you:
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- Define theories with types, functions, relations, and rules
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- Build concrete models of those theories
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- Automatically derive facts using the chase algorithm
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- Check rules using tensor algebra
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- Solve models using automated search
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### Evidence of Completeness
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- 30,000+ lines of Rust code
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- 168 tests, all passing
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- 30 working examples
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- Full documentation (README, architecture guide, syntax reference)
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### What's Done
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- Parser and type checker
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- Chase algorithm with equality handling
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- Tensor algebra for rule checking
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- Solver for model search
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- Persistent storage with version control
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- Interactive REPL
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### Minor Gaps
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- 11 TODO comments for optimizations
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- Some edge cases with product types
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- Lean4 formalization is in progress
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These gaps don't block normal use.
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---
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## Q2: Are tensor algebra and chase algorithm expressive enough for Geolog?
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**Answer: Yes for core geometric logic. There are specific gaps around product types and disjunction.**
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### Fully Supported
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| Feature | How It Works |
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|---------|--------------|
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| Relations like `R(x,y)` | Tensor + Chase |
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| Existentials in premises | Tensor system |
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| Equations like `f(x) = y` | Congruence closure |
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| Nested functions like `f(g(x))` | Tensor contraction |
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| Creating new elements | Chase handles `∃x. ...` in conclusions |
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| Merging elements | Chase handles `x = y` conclusions |
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### Gaps
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**Product types have limited support:**
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- Functions with product domains in conclusions don't work
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- Existentials over product sorts don't work
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- Field projections in equations (`x.field = y`) don't compile
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**Disjunction is incomplete:**
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- When a rule concludes `A or B`, the chase fires both A and B
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- This is correct but may add more facts than needed
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- A proper implementation would choose one branch
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**Errors are silent:**
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- When tensor compilation fails, the rule is skipped without warning
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- This can hide problems in complex axioms
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### By Design (Not Bugs)
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Geolog uses geometric logic, which excludes:
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- Negation (no `not R(x)`)
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- Classical implication (no `if A then B`)
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- Arithmetic (no `x + 1 = y`)
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These are intentional limits, not missing features.
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### Bottom Line
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The mechanisms handle all standard geometric logic axioms:
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- Reflexivity, transitivity, composition
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- Category laws, Petri net rules, graph reachability
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The gaps only matter for axioms with complex record/product operations in conclusions.
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