Induction
Why Induction?
Under construction. 👷⚒️🚧
Project List
Here is a list of my current and former projects with a focus on induction. The acronyms correspond to the names used in the project dependency graph.
Project Dependency Graph
flowchart LR
VerifyC["VerifyC"]
Refinement["Refinement"]
VeriFile["VeriFile"]
TowardsEvo["TowardsEvo"]
GeneticSyn["GeneticSyn"]
PSL["PSL"]
GoalOriented["GoalOriented"]
TemplateBased["TemplateBased"]
LiFtEr["LiFtEr"]
SeLFiE["SeLFiE"]
SmartInduct["SmartInduct"]
SmarterInduct["SmarterInduct"]
PaMpeR["PaMpeR"]
SimpleDataset["SimpleData"]
Abduction["Abduction"]
%% Style definitions
classDef default fill:#f9f9f9,stroke:#333,stroke-width:2px;
classDef futureWork fill:#fff,stroke:#333,stroke-width:2px,stroke-dasharray: 5 5;
classDef highlighted fill:#ffff00,stroke:#333,stroke-width:2px;
class Abduction futureWork;
class LiFtEr,SeLFiE,SmartInduct,SmarterInduct highlighted;
%% Clickable Nodes
click Abduction "https://yutakang.github.io/projects/proof-by-abduction-in-isabellehol" "Proof By Abduction in Isabelle/HOL"
click TemplateBased "https://yutakang.github.io/projects/template-based-conjecturing-for-automated-induction-in-isabellehol" "Template-Based Conjecturing for Automated Induction in Isabelle/HOL"
click GeneticSyn "https://yutakang.github.io/projects/genetic-algorithm-for-program-synthesis" "Genetic Algorithm for Program Synthesis"
click SeLFiE "https://yutakang.github.io/projects/definitional-quantifiers-realise-semantic-reasoning-for-proof-by-induction" "Definitional Quantifiers Realise Semantic Reasoning for Proof by Induction"
click SmarterInduct "https://yutakang.github.io/projects/faster-smarter-induction-for-isabellehol" "Faster Smarter Induction for Isabelle/HOL"
click SmartInduct "https://yutakang.github.io/projects/smart-induction-for-isabellehol-tool-paper" "Smart Induction for Isabelle/HOL (Tool Paper)"
click SimpleDataset "https://yutakang.github.io/projects/simple-dataset-for-proof-method-recommendation-in-isabellehol" "Simple Dataset for Proof Method Recommendation in Isabelle/HOL"
click LiFtEr "https://yutakang.github.io/projects/lifter-language-to-encode-induction-heuristics-for-isabellehol" "LiFtEr: Language to Encode Induction Heuristics for Isabelle/HOL"
click TowardsEvo "https://yutakang.github.io/projects/towards-evolutionary-theorem-proving-for-isabellehol-poster-only-paper" "Towards Evolutionary Theorem Proving for Isabelle/HOL"
click PaMpeR "https://yutakang.github.io/projects/pamper-proof-method-recommendation-system-for-isabellehol" "PaMpeR: Proof Method Recommendation System for Isabelle/HOL"
click GoalOriented "https://yutakang.github.io/projects/goal-oriented-conjecturing-for-isabellehol" "Goal-Oriented Conjecturing for Isabelle/HOL"
click PSL "https://yutakang.github.io/projects/a-proof-strategy-language-and-proof-script-generation-for-isabellehol" "A Proof Strategy Language and Proof Script Generation for Isabelle/HOL"
click VerifyC "https://yutakang.github.io/projects/a-framework-for-the-automatic-formal-verification-of-refinement-from-cogent-to-c" "A framework for the automatic formal verification of refinement from Cogent to C"
click Refinement "https://yutakang.github.io/projects/refinement-through-restraint-bringing-down-the-cost-of-verification" "Refinement through Restraint: Bringing Down the Cost of Verification"
click VeriFile "https://yutakang.github.io/projects/cogent-verifying-high-assurance-file-system-implementations" "Cogent: Verifying High-Assurance File System Implementations"
%% Define Edges
VerifyC -->|is part of| Refinement
Refinement --> |is used in| VeriFile
TowardsEvo -->|is realised in| GeneticSyn
TowardsEvo -.-> |should be used in| Abduction
PSL -->|is used in| Abduction
PSL -->|is used in| GoalOriented
PSL -->|is used in| TemplateBased
TemplateBased -->|is used in| Abduction
LiFtEr -->|is used in| SmartInduct
LiFtEr -->|evolves to| SeLFiE
SeLFiE -->|is used in| SmarterInduct
SmartInduct -->|evolves to| SmarterInduct
SmarterInduct -->|is used in| TemplateBased
SimpleDataset -->|is used in| PaMpeR
PaMpeR -.-> |should be used in| Abduction
GoalOriented -->|is used in| Abduction
SmarterInduct -->|is used in| Abduction
SeLFiE -->|is used in| Abduction
PSL -->|integrates| SmarterInduct