Seminar
WS 26/27
| Organizers | Prof. Benjamin Kaminski, Tobias Gürtler, Lucas Kehrer, Lena Verscht, Anran Wang |
| Places | 8 |
Find the full list of topics that we will cover below!
Prerequisites
| Mandatory | Programmierung 1 Programmierung 2 Grundzüge der Theoretischen Informatik |
| Recommended | Semantics Introduction to Computational Logic Automata, Games and Verification |
| Ideal | Verification |
Reports
The report must be prepared using the ACM template acmart-pacmpl-template.tex with the following options in the preamble:
\documentclass[acmsmall,dvipsnames,x11names,svgnames,cleveref, nonacm]{acmart}
\settopmatter{printfolios=true,printccs=false,printacmref=false}
The report must not exceed 10 pages, excluding references.
Presentations
As a block seminar at the end of the semester.
More information TBA.
Timeline / Deadlines (tentative)
| Kick-off meeting | October 30 | Room 528, Building E1 3 |
| Bidding for topics | until November 3 | – via email to Benjamin Kaminski – |
| Student-topic assignment announced | by November 5 | – on this website – |
| Detailed report outline + 1 page of main part due | TBD | – via email to your supervisor – |
| Registration in LSF due | TBD | – via LSF (your responsibility) – |
| Final report due | TBD | – via email to your supervisor – |
| Make an appointment for mandatory practice presentation with your supervisor | by TBD | – make appointment with your supervisor – |
| Seminar presentations | w/c TBD | likely Room 528, Building E1 3 |
Topics
Topics marked (BA) are particularly well-suited for Bachelor students.
Graphical Fixed Point Theory
- de Mendoca Frereire et al. An Equational and Graphical Fixed-Point Calculus (Functional Pearl)
- Student: —
- Presentation: —
Random Fixed Points
- Nieto et al. Random fixed point theorems in partially ordered metric spaces
- Student: —
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Unique Fixed Points for Probabilistic Programs
- Kura et al. Supermartingales for Unique Fixed Points: A Unified Approach to Lower Bound Verification
- Student: —
- Presentation: —
Banach Fixed Point Theorem (BA)
- Baranga. The Contraction Principle as a Particular Case of Kleene’s Fixed Point Theorem
- Student: —
- Presentation: —
Reverse Directional Fixed Point Theory
- Baldan et al. Fixpoint Theory — Upside Down
- Student: —
- Presentation: —
Antitone Functions (BA)
- Dacic. On Fixed Edges of Antitone Self-Mappings of Complete Lattices
- Student: —
- Presentation: —
Fixed Point Equations
- Baldan et al. Fixpoint Games on Continuous Lattices
- Student: —
- Presentation: —
- Hetzl and Kloibhofer. An Abstract Fixed-Point Theorem for Horn Formula Equations
- Student: —
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Expressive Equivalence of Fixed Point Logics
- Kreutzer. Expressive equivalence of least and inflationary fixed-point logic
- Student: —
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Model-guided Synthesis
- Murali et al. Model-guided synthesis of inductive lemmas for FOL with least fixpoints
- Student: —
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Expected Rewards as Least Fixed Points (BA)
- Batz et al. J-P: MDP. FP. PP.
- Student: —
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Latticed k-Induction
- Batz et al. Latticed k-Induction with an Application to Probabilistic Programs
- Student: —
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Parameterized Coinduction
- Hur et al. The power of parameterization in coinductive proof
- Student: —
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Modality for Recursion
- H. Nakano. A modality for recursion
- Student: —
- Presentation: —
Matrices for Fixed Points in Probabilistic Programming (BA)
- Torres-ruiz et al. On Iteration in Discrete Probabilistic Programming
- Student: —
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Invariant Synthesis in Probabilistic Programming
- Batz et al. Probabilistic Program Verification via Inductive Synthesis of Inductive Invariants
- Student: —
- Presentation: —
Lower Bounds for Least Fixed Points (BA)
- Quatmann and Katoen. Sound Value Iteration
- Student: —
- Presentation: —