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cff-version: 1.2.0
message: "If you use this software or its research notes, please cite it as below."
title: "λSAT — certified λ-logic SAT middleware and a research harness for frame-structured SAT hardness"
abstract: >-
A headless, certified Boolean-satisfiability middleware: it decides formulas via
three sound, engine-independent frames (implication/2-SAT, parity/GF(2),
counting/cardinality) and their coupling, falling back to a DRAT-certified CDCL
engine only when no frame applies. Every verdict is independently checked (SAT by
model replay, UNSAT by a sound frame refutation or a drat-trim proof). On top sits
a research program on the intrinsic geometry of SAT hardness — a hyperbolic
instance-manifold, a game-theoretic dispatcher, and an explicit proven/measured/
speculative claim ledger.
type: software
authors:
- family-names: "Vilela Franco"
given-names: "Jesús"
repository-code: "https://github.com/jesusvilela/lambda-sat-solver"
url: "https://github.com/jesusvilela/lambda-sat-solver"
license: MIT
version: "0.1.0"
message: "If you use this software, please cite it using the metadata from this file."
title: "lambda-sat-solver: Certified SAT middleware and frame-structured hardness research harness"
authors:
- family-names: "Vilela Jato"
given-names: "Jesus"
repository-code: "https://github.com/jesusvilela/lambda-sat-solver"
license: "MIT"
type: software
abstract: >-
A certified SAT middleware around external CDCL engines, with SAT verdicts checked by
model replay and UNSAT verdicts checked by sound frame refutation or independent DRAT
proof replay. The repository also contains a research harness for frame-structured SAT
hardness, including implication, parity, counting, coupled-frame routing, and scoped
benchmark reports.
keywords:
- SAT
- satisfiability
- certified solving
- DRAT proof checking
- computational complexity
- resolution width
- Nullstellensatz degree
- lambda calculus
references:
- type: article
authors:
- family-names: "Ben-Sasson"
given-names: "Eli"
- family-names: "Wigderson"
given-names: "Avi"
title: "Short proofs are narrow — resolution made simple"
year: 2001
- type: article
authors:
- family-names: "Clegg"
given-names: "Matthew"
- family-names: "Edmonds"
given-names: "Jeffery"
- family-names: "Impagliazzo"
given-names: "Russell"
title: "Using the Groebner basis algorithm to find proofs of unsatisfiability"
year: 1996
- type: article
authors:
- family-names: "Gomes"
given-names: "Carla P."
- family-names: "Selman"
given-names: "Bart"
title: "Heavy-tailed phenomena in satisfiability and constraint satisfaction problems"
year: 2000
- DRAT
- CDCL
- proof checking
- SAT hardness
- portfolio solving