Bidirectional Interpolation for the Lambda-Calculus -- Revisiting and Formalising Craig-Čubrić Interpolation
Fuente:
arXiv
Saved in:
| Main Authors: | Bertrand, Meven Lennon, Saurin, Alexis |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
What does it take to certify a conversion checker?
by: Lennon-Bertrand, Meven
Published: (2025)
by: Lennon-Bertrand, Meven
Published: (2025)
The Lambda Calculus is Quantifiable
by: Maestracci, Valentin, et al.
Published: (2024)
by: Maestracci, Valentin, et al.
Published: (2024)
Term Orders for Optimistic Lambda-Superposition
by: Bentkamp, Alexander, et al.
Published: (2025)
by: Bentkamp, Alexander, et al.
Published: (2025)
Definitional Functoriality for Dependent (Sub)Types -- Extended version
by: Laurent, Théo, et al.
Published: (2023)
by: Laurent, Théo, et al.
Published: (2023)
AdapTT: Functoriality for Dependent Type Casts
by: Adjedj, Arthur, et al.
Published: (2025)
by: Adjedj, Arthur, et al.
Published: (2025)
A Sequent Calculus for General Inductive Definitions
by: Eede, Robbe Van den, et al.
Published: (2026)
by: Eede, Robbe Van den, et al.
Published: (2026)
Discernment is all you need
by: Fuenmayor, David
Published: (2026)
by: Fuenmayor, David
Published: (2026)
Intersection Types for a Computational Lambda-Calculus with Global State
by: de'Liguoro, Ugo, et al.
Published: (2021)
by: de'Liguoro, Ugo, et al.
Published: (2021)
A Coq-based Axiomatization of Tarski's Mereogeometry
by: Barlatier, Patrick, et al.
Published: (2025)
by: Barlatier, Patrick, et al.
Published: (2025)
Mechanized HOL Reasoning in Set Theory
by: Guilloud, Simon, et al.
Published: (2024)
by: Guilloud, Simon, et al.
Published: (2024)
Incomplete Descriptions and Qualified Definiteness
by: Więckowski, Bartosz
Published: (2024)
by: Więckowski, Bartosz
Published: (2024)
Metric Equational Theories
by: Mardare, Radu, et al.
Published: (2025)
by: Mardare, Radu, et al.
Published: (2025)
Canonical for Automated Theorem Proving in Lean
by: Norman, Chase, et al.
Published: (2025)
by: Norman, Chase, et al.
Published: (2025)
Implementing Dependent Type Theory Inhabitation and Unification
by: Norman, Chase, et al.
Published: (2026)
by: Norman, Chase, et al.
Published: (2026)
A Rust-to-Lean Verification Pipeline with AI Provers: An Experience Report
by: Klaus, Natalia, et al.
Published: (2026)
by: Klaus, Natalia, et al.
Published: (2026)
Propositional Dynamic Logic has Craig Interpolation: a tableau-based proof
by: Borzechowski, Manfred, et al.
Published: (2025)
by: Borzechowski, Manfred, et al.
Published: (2025)
OnlineProver: Experience with a Visualisation Tool for Teaching Formal Proofs
by: Perháč, Ján, et al.
Published: (2025)
by: Perháč, Ján, et al.
Published: (2025)
SPARQL in N3: SPARQL CONSTRUCT as a rule language for the Semantic Web (Extended Version)
by: Arndt, Dörthe, et al.
Published: (2025)
by: Arndt, Dörthe, et al.
Published: (2025)
Logics for the Relational Syllogistic
by: Pratt-Hartmann, Ian, et al.
Published: (2008)
by: Pratt-Hartmann, Ian, et al.
Published: (2008)
Unravelling Abstract Cyclic Proofs into Proofs by Induction
by: Grotenhuis, Lide, et al.
Published: (2026)
by: Grotenhuis, Lide, et al.
Published: (2026)
Implementing the First-Order Logic of Here and There
by: Otten, Jens, et al.
Published: (2026)
by: Otten, Jens, et al.
Published: (2026)
Experiments with Choice in Dependently-Typed Higher-Order Logic
by: Ranalter, Daniel, et al.
Published: (2024)
by: Ranalter, Daniel, et al.
Published: (2024)
Tractable and Intractable Entailment Problems in Separation Logic with Inductively Defined Predicates
by: Echenim, Mnacho, et al.
Published: (2023)
by: Echenim, Mnacho, et al.
Published: (2023)
Solving Quantified Modal Logic Problems by Translation to Classical Logics
by: Steen, Alexander, et al.
Published: (2022)
by: Steen, Alexander, et al.
Published: (2022)
Pantograph: A Machine-to-Machine Interaction Interface for Advanced Theorem Proving, High Level Reasoning, and Data Extraction in Lean 4
by: Aniva, Leni, et al.
Published: (2024)
by: Aniva, Leni, et al.
Published: (2024)
The Hamiltonian Syllogistic
by: Pratt-Hartmann, Ian
Published: (2010)
by: Pratt-Hartmann, Ian
Published: (2010)
Exponential Resolution Lower Bounds for Weak Pigeonhole Principle and Perfect Matching Formulas over Sparse Graphs
by: de Rezende, Susanna F., et al.
Published: (2019)
by: de Rezende, Susanna F., et al.
Published: (2019)
Extensions of K5: Proof Theory and Uniform Lyndon Interpolation
by: van der Giessen, Iris, et al.
Published: (2023)
by: van der Giessen, Iris, et al.
Published: (2023)
An Unconventional View on Beta-Reduction in Namefree Lambda-Calculus
by: Nederpelt, Rob, et al.
Published: (2026)
by: Nederpelt, Rob, et al.
Published: (2026)
Locality in Residuated-Lattice Structures
by: Carr, James
Published: (2025)
by: Carr, James
Published: (2025)
Degree-preserving Godel logics with an involution: intermediate logics and (ideal) paraconsistency
by: Coniglio, M. E., et al.
Published: (2026)
by: Coniglio, M. E., et al.
Published: (2026)
TPTP World Infrastructure for Non-classical Logics
by: Steen, Alexander, et al.
Published: (2025)
by: Steen, Alexander, et al.
Published: (2025)
Ohana trees, linear approximation and multi-types for the $λ$I-calculus: No variable gets left behind or forgotten!
by: Cerda, Rémy, et al.
Published: (2025)
by: Cerda, Rémy, et al.
Published: (2025)
Efficient Solving of Quantified Inequality Constraints over the Real Numbers
by: Ratschan, Stefan
Published: (2002)
by: Ratschan, Stefan
Published: (2002)
Evaluating Autoformalization Robustness via Semantically Similar Paraphrasing
by: Moore, Hayden, et al.
Published: (2025)
by: Moore, Hayden, et al.
Published: (2025)
Nominal Algebraic-Coalgebraic Data Types, with Applications to Infinitary Lambda-Calculi
by: Cerda, Rémy
Published: (2025)
by: Cerda, Rémy
Published: (2025)
Formally Verified Patent Analysis via Dependent Type Theory: Machine-Checkable Certificates from a Hybrid AI + Lean 4 Pipeline
by: Koomullil, George
Published: (2026)
by: Koomullil, George
Published: (2026)
Agent Interpolation for Knowledge
by: Bílková, Marta, et al.
Published: (2025)
by: Bílková, Marta, et al.
Published: (2025)
Abstract clones for abstract syntax
by: Arkor, Nathanael, et al.
Published: (2021)
by: Arkor, Nathanael, et al.
Published: (2021)
Logic.py: Bridging the Gap between LLMs and Constraint Solvers
by: Kesseli, Pascal, et al.
Published: (2025)
by: Kesseli, Pascal, et al.
Published: (2025)
Similar Items
-
What does it take to certify a conversion checker?
by: Lennon-Bertrand, Meven
Published: (2025) -
The Lambda Calculus is Quantifiable
by: Maestracci, Valentin, et al.
Published: (2024) -
Term Orders for Optimistic Lambda-Superposition
by: Bentkamp, Alexander, et al.
Published: (2025) -
Definitional Functoriality for Dependent (Sub)Types -- Extended version
by: Laurent, Théo, et al.
Published: (2023) -
AdapTT: Functoriality for Dependent Type Casts
by: Adjedj, Arthur, et al.
Published: (2025)